PATENT ABSTRACT
A method and apparatus for transmitting signals in a multi-hop wireless communication system are provided. A first BS transmits a signal including a first common information codeword and a first private information codeword. A second BS transmits a signal including a second common information codeword and a second private information codeword. A first RS joint-decodes the first common information codeword and the second common information codeword and decodes the first private information codeword. A second RS joint-decodes the first common information codeword and the second common information codeword and decodes the second private information codeword.

PATENT DESCRIPTION
CROSS-REFERENCE TO RELATED APPLICATION(S) AND CLAIM OF PRIORITY 
       [0001]    The present application claims priority under 35 U.S.C. §119(a) to a Korean Patent Application filed in the Korean Intellectual Property Office on Apr. 2, 2008 and assigned Serial No. 10-2008-0030665, the contents of which are herein incorporated by reference. 
       TECHNICAL FIELD OF THE INVENTION 
       [0002]    The present invention relates to a signal transmission/reception apparatus and method for transmitting signals in a Super Position Coding and Successive Interference Cancellation (SPC-SIC) based scheme and supporting Dirty Paper Coding (DPC) based on SPC in a multi-hop wireless communication system. 
       BACKGROUND OF THE INVENTION 
       [0003]    In a cellular based multi-hop wireless communication system, the main focus of legacy technologies is that a Mobile Station (MS) in service in one cell enhances the overall cell throughput by help of a Relay Station (RS). For example, RS-based cooperative relay schemes, cooperative signal-source diversity, cooperative transmission diversity, cooperative complex diversity, and the like, have been proposed and adopted for the purpose of obtaining diversity. Additionally, to obtain a multiplexing gain, a technique using a multiplexing technology in a Multi Input Multi Output (MIMO) system has been proposed. 
         [0004]    In the cellular based multi-hop wireless communication system, the proposed conventional technologies all deal with MS&#39;s transmission in one cell and put focus on the enhancement of reliability or transmission rate in one cell. Accordingly, an MS in a cell boundary area essentially is subjected to interference from a neighboring RS and thus, has a problem that this interference leads to a decrease of a throughput of the cell boundary area, therefore causing a decrease of the overall throughput. Further, under circumstances where an RS is introduced to enhance a transmission rate of an MS of a cell boundary area, when considering a relatively low Signal to Noise Ratio (SNR) compared with single hop communication, a failure to effectively cancel such interference may cause a big loss in the overall throughput. Thus, there is a demand for a method and apparatus for effectively canceling interference and enhancing a transmission rate in a multi-hop wireless communication system. 
       SUMMARY OF THE INVENTION 
       [0005]    To address the above-discussed deficiencies of the prior art, it is a primary aspect of the present invention is to provide a method and apparatus for maximizing the transmission efficiency of signals in a multi-hop wireless communication system. 
         [0006]    Another aspect of the present invention is to provide a method and apparatus for generating a plurality of codewords for signal transmission and enhancing a throughput of communication using the plurality of codewords in a multi-hop wireless communication system. 
         [0007]    The above aspects are achieved by providing a method and apparatus for transmitting signals in a multi-hop wireless communication system. 
         [0008]    According to one aspect of the present invention, a multi-hop wireless communication system is provided. The system includes a first Base Station (BS), a second BS, a first Radio Station (RS), and a second RS. The first BS transmits a signal including a first common information codeword and a first private information codeword to the first RS and the second RS. The second BS transmits a signal including a second common information codeword and a second private information codeword to the first RS and the second RS. The first RS joint-decodes the first common information codeword and the second common information codeword and decodes the first private information codeword. The second RS joint-decodes the first common information codeword and the second common information codeword and decodes the second private information codeword. 
         [0009]    According to another aspect of the present invention, an operation method of a BS in a multi-hop wireless communication system is provided. The method includes transmitting a signal including a first common information codeword and a second private information codeword to a first Radio Station (RS) and a second RS. 
         [0010]    According to a further aspect of the present invention, an operation method of a Radio Station (RS) in a multi-hop wireless communication system is provided. The method includes joint-decoding a first common information codeword received from a first Base Station (BS) and a second common information codeword received from a second BS, and decoding a first private information codeword. 
         [0011]    According to yet another aspect of the present invention, an operation method of a Mobile Station (MS) in a multi-hop wireless communication system is provided. The method includes receiving a signal including a first private information codeword comprised of x 1pc  and x 1pp  and a first common information codeword transmitted by a first RS, and a signal including a first private information codeword comprised of x 2pc  and x 2pp  and a first common information codeword transmitted by a second RS, joint-decoding the first common information codeword and the second common information codeword, joint-decoding the x 1pc  and x 2pc , and decoding the x 1pp . 
         [0012]    Before undertaking the DETAILED DESCRIPTION OF THE INVENTION below, it may be advantageous to set forth definitions of certain words and phrases used throughout this patent document: the terms “include” and “comprise,” as well as derivatives thereof, mean inclusion without limitation; the term “or,” is inclusive, meaning and/or; the phrases “associated with” and “associated therewith,” as well as derivatives thereof, may mean to include, be included within, interconnect with, contain, be contained within, connect to or with, couple to or with, be communicable with, cooperate with, interleave, juxtapose, be proximate to, be bound to or with, have, have a property of, or the like; and the term “controller” means any device, system or part thereof that controls at least one operation, such a device may be implemented in hardware, firmware or software, or some combination of at least two of the same. It should be noted that the functionality associated with any particular controller may be centralized or distributed, whether locally or remotely. Definitions for certain words and phrases are provided throughout this patent document, those of ordinary skill in the art should understand that in many, if not most instances, such definitions apply to prior, as well as future uses of such defined words and phrases. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0013]    For a more complete understanding of the present disclosure and its advantages, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like reference numerals represent like parts: 
           [0014]      FIG. 1  is a block diagram illustrating a construction of a base station in a multi-hop wireless communication system according to an exemplary embodiment of the present invention; 
           [0015]      FIG. 2  is a block diagram illustrating a construction of a relay station in a multi-hop wireless communication system according to an exemplary embodiment of the present invention; 
           [0016]      FIG. 3  is a block diagram illustrating a construction of a mobile station in a multi-hop wireless communication system according to an exemplary embodiment of the present invention; 
           [0017]      FIG. 4  is a flowchart illustrating an operation process of a base statin in a multi-hop wireless communication system according to an exemplary embodiment of the present invention; 
           [0018]      FIG. 5  is a flowchart illustrating an operation process of a relay station in a multi-hop wireless communication system according to an exemplary embodiment of the present invention; 
           [0019]      FIG. 6  is a flowchart illustrating an operation process of a mobile station in a multi-hop wireless communication system according to an exemplary embodiment of the present invention; 
           [0020]      FIG. 7  is a flowchart illustrating an operation process of a relay station in a multi-hop wireless communication system according to another exemplary embodiment of the present invention; 
           [0021]      FIG. 8  is a graph illustrating average total throughputs of several transmission schemes in a downlink environment; and 
           [0022]      FIG. 9  is a graph illustrating a comparison of a difference of a throughput depending on a layer decoding scheme. 
       
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
       [0023]      FIGS. 1 through 9 , discussed below, and the various embodiments used to describe the principles of the present disclosure in this patent document are by way of illustration only and should not be construed in any way to limit the scope of the disclosure. Those skilled in the art will understand that the principles of the present disclosure may be implemented in any suitably arranged wireless communication system. 
         [0024]    The present invention relates to transmission schemes of a BS and a RS in a cellular based two-hop communication system. Exemplary embodiments of the present invention are applicable to uplink and downlink. The assumption is that, in the two-hop communication system, the RS operates by Decode and Forward (DF) and is based on a Half Duplex Mode (HDM). For description convenience, exemplary embodiments of the present invention assume two BSs, two RSs, and two MSs. 
         [0025]    A scheme based on A Super Position Coding and Successive Interference Cancellation (SPC-SIC) according to an exemplary embodiment of the present invention is described below. The SPC-SIC scheme is that, when two BSs transmit signals to two RSs and the two RSs transmit signals to the two BSs, they do not transmit one codeword but generate two or more kinds of codewords, allocate power, and superpose and transmit the codewords. 
         [0026]    A relationship between a BS and an RS in two-hop communication can be expressed as in Equation 1: 
         [0000]        r   1   =h   11   x   1   +h   21   x   2   +m   1 , 
         [0000]        r   2   =h   12   x   1   +h   22   x   2   +m   2 , 
         [0000]        y   1   =g   11   x′   1   +g   21   x′   2   +n   1 , 
         [0000]        y   2   =g   12   x′   1   +g   22   x′   2   +n   2    [Eqn. 1] 
         [0027]    In Equation 1, the ‘x i ’ represents a transmit signal of a BSi, the ‘x′j’ represents a transmit signal of an RSj, the ‘y p ’ represents a receive signal of an RSp, the ‘y q ’ represents a receive signal of an MSq, the ‘h ij ’ represents a channel from the BSi to the RSj, the ‘g pq ’ represents a channel from the RSp to the MSq, and the ‘m i ’ and ‘n j ’ represent noise. In the following description, the maximum transmit powers of the BSi and RSj are given as ‘P i ’ and ‘Q j ’, respectively. In addition, it is assumed that the ‘m i ’ and ‘n j ’ have distributions whose means are equal to ‘0’ and variances are equal to ‘1’, and are independent of each other. 
         [0028]      FIG. 1  is a block diagram illustrating a construction of a BS in a multi-hop wireless communication system according to an exemplary embodiment of the present invention. 
         [0029]    Referring to  FIG. 1 , the BS includes a Radio Frequency (RF) processor  101 , a demodulator  103 , a decoder  105 , a power allocator  107 , an encoder  109 , a modulator  111 , and an RF processor  113 . 
         [0030]    The RF processor  101  down-converts an RF band signal received through an antenna into a baseband signal. The demodulator  103  converts complex symbols into a bit stream. The decoder  105  decodes the bit stream. The power allocator  107  allocates power for external devices. Particularly, according to an exemplary embodiment of the present invention, the power allocator  107  determines each of transmit powers of codewords generated by the encoder  109 . The encoder  109  encodes a transmit bit stream to generate two or more kinds of codewords. The generated codewords include a common information codeword and a private information codeword. The modulator  111  converts the encoded bit stream into complex symbols. The RF processor  113  up-converts a baseband signal into an RF band signal and transmits the RF band signal through an antenna. 
         [0031]      FIG. 2  is a block diagram illustrating a construction of an RS in a multi-hop wireless communication system according to an exemplary embodiment of the present invention. 
         [0032]    Referring to  FIG. 2 , the RS includes an RF processor  201 , a signal measurer  203 , a demodulator  205 , a decoder  207 , a power allocator  209 , an encoder  211 , a modulator  213 , a precoder  215 , and an RF processor  217 . 
         [0033]    The RF processor  201  down-converts an RF band signal received through an antenna into a baseband signal. The signal measurer  203  measures a Signal to Interference and Noise Ratio (SINR) for each of two BSs using pilot symbols that are included in signals received from the two BSs and then, provides the SINRs to the power allocator  209 . 
         [0034]    For example, if the RS is a first RS, an SINR is measured as in Equation 2 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       SINR 
                       11 
                     
                     = 
                     
                       
                         
                           
                              
                             
                               h 
                               11 
                             
                              
                           
                           2 
                         
                          
                         
                           P 
                           1 
                         
                       
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 h 
                                 21 
                               
                                
                             
                             2 
                           
                            
                           
                             P 
                             2 
                           
                         
                       
                     
                   
                   , 
                   
                     
 
                   
                    
                   
                     
                       SINR 
                       12 
                     
                     = 
                     
                       
                         
                           
                             
                                
                               
                                 h 
                                 21 
                               
                                
                             
                             2 
                           
                            
                           
                             P 
                             2 
                           
                         
                         
                           1 
                           + 
                           
                             
                               
                                  
                                 
                                   h 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               1 
                             
                           
                         
                       
                       . 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
                     . 
                     
                         
                     
                      
                     2 
                   
                   ] 
                 
               
             
           
         
       
     
         [0035]    In Equation 2, the ‘h 11 ’ represents a channel from a first BS to the first RS, the ‘h 21 ’ represents a channel from a second BS to the first RS, the ‘P 1 ’ represents the maximum transmit power of the first BS, and the ‘P 2 ’ represents the maximum transmit power of the second BS. 
         [0036]    Similarly, if the RS is a second RS, an SINR is measured as in Equation 3 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       SINR 
                       21 
                     
                     = 
                     
                       
                         
                           
                              
                             
                               h 
                               22 
                             
                              
                           
                           2 
                         
                          
                         
                           P 
                           2 
                         
                       
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 h 
                                 12 
                               
                                
                             
                             2 
                           
                            
                           
                             P 
                             1 
                           
                         
                       
                     
                   
                   , 
                   
                     
 
                   
                    
                   
                     
                       SINR 
                       22 
                     
                     = 
                     
                       
                         
                           
                             
                                
                               
                                 h 
                                 12 
                               
                                
                             
                             2 
                           
                            
                           
                             P 
                             2 
                           
                         
                         
                           1 
                           + 
                           
                             
                               
                                  
                                 
                                   h 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               1 
                             
                           
                         
                       
                       . 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
                     . 
                     
                         
                     
                      
                     3 
                   
                   ] 
                 
               
             
           
         
       
     
         [0037]    In Equation 3, the ‘h 12 ’ represents a channel from the first BS to the second RS, the ‘h 22 ’ represents a channel from the second BS to the second RS, the ‘P 1 ’ represents the maximum transmit power of the first BS, and the ‘P 2 ’ represents the maximum transmit power of the second BS. 
         [0038]    The demodulator  205  converts complex symbols into a bit stream. The decoder  207  decodes the bit stream. The power allocator  209  allocates power for external devices. Particularly, according to an exemplary embodiment of the present invention, the power allocator  209  determines a transmit power of each of codewords generated by the encoder  211 . The power allocator  209  provides the SINRs received from the signal measurer  203 , to the encoder  211 . 
         [0039]    The encoder  211  encodes a transmit bit stream to generate two or more kinds of codewords. The modulator  213  converts encoded bit stream into complex symbols. In order to prevent the occurrence of interference within the system or the occurrence of an error of the final result value, the precoder  215  may performs signal process using Dirty Paper Coding (DPC) technique. The DPC technique is a technique for, under assumption a transmit end is previously aware of information on interference, previously performing encoding in consideration of a distortion caused by the interference, thereby enabling a receive end to achieve a reception effect with no interference. In an exemplary embodiment of the present invention, because two RSs have identical information that is common information, the RSs separated from each other can effectively cancel interference utilizing the DPC technique in cooperation with each other. The RF processor  217  up-converts a baseband signal into an RF band signal and transmits the RF band signal through an antenna. 
         [0040]      FIG. 3  is a block diagram illustrating a construction of an MS in a multi-hop wireless communication system according to an exemplary embodiment of the present invention. 
         [0041]    Referring to  FIG. 3 , the MS includes an RF processor  301 , a signal measurer  303 , a demodulator  305 , a decoder  307 , a power allocator  309 , an encoder  311 , a modulator  313 , and an RF processor  315 . 
         [0042]    The RF processor  301  down-converts an RF band signal received through an antenna into a baseband signal. The signal measurer  303  measures an SINR for each of two BSs using pilot symbols that are included in signals received from the two BSs and then, provides the SINRs to the power allocator  309 . 
         [0043]    For example, if the MS is a first MS, an SINR is measured as in Equation 4 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       SINR 
                       11 
                     
                     = 
                     
                       
                         
                           
                              
                             
                               g 
                               11 
                             
                              
                           
                           2 
                         
                          
                         
                           Q 
                           1 
                         
                       
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 g 
                                 21 
                               
                                
                             
                             2 
                           
                            
                           
                             Q 
                             2 
                           
                         
                       
                     
                   
                   , 
                   
                     
 
                   
                    
                   
                     
                       SINR 
                       12 
                     
                     = 
                     
                       
                         
                           
                             
                                
                               
                                 g 
                                 21 
                               
                                
                             
                             2 
                           
                            
                           
                             Q 
                             2 
                           
                         
                         
                           1 
                           + 
                           
                             
                               
                                  
                                 
                                   g 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               1 
                             
                           
                         
                       
                       . 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
                     . 
                     
                         
                     
                      
                     4 
                   
                   ] 
                 
               
             
           
         
       
     
         [0044]    In Equation 4, the ‘g 11 ’ represents a channel from a first RS to the first MS, the ‘g 21 ’ represents a channel from a second RS to the first MS, the ‘Q 1 ’ represents the maximum transmit power of the first RS, and the ‘Q 2 ’ represents the maximum transmit power of the second RS. 
         [0045]    Similarly, if the MS is a second MS, an SINR is measured as in Equation 5 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       SINR 
                       21 
                     
                     = 
                     
                       
                         
                           
                              
                             
                               g 
                               22 
                             
                              
                           
                           2 
                         
                          
                         
                           Q 
                           2 
                         
                       
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 g 
                                 12 
                               
                                
                             
                             2 
                           
                            
                           
                             Q 
                             1 
                           
                         
                       
                     
                   
                   , 
                   
                     
 
                   
                    
                   
                     
                       SINR 
                       22 
                     
                     = 
                     
                       
                         
                           
                             
                                
                               
                                 g 
                                 12 
                               
                                
                             
                             2 
                           
                            
                           
                             Q 
                             2 
                           
                         
                         
                           1 
                           + 
                           
                             
                               
                                  
                                 
                                   g 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               1 
                             
                           
                         
                       
                       . 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
                     . 
                     
                         
                     
                      
                     5 
                   
                   ] 
                 
               
             
           
         
       
     
         [0046]    In Equation 5, the ‘g 12 ’ represents a channel from the first RS to the second MS, the ‘g 22 ’ represents a channel from the second RS to the second MS, the ‘Q 1 ’ represents the maximum transmit power of the first RS, and the ‘Q 2 ’ represents the maximum transmit power of the second RS. 
         [0047]    The demodulator  305  converts complex symbols into bit stream. The decoder  307  decodes the bit stream. The power allocator  309  allocates power for external devices. The encoder  311  encodes a transmit bit stream. The modulator  313  converts the encoded bit stream into complex symbols. The RF processor  315  up-converts a baseband signal into an RF band signal and transmits the RF band signal through an antenna. 
         [0048]      FIG. 4  is a flowchart illustrating an operation process of a BS in a multi-hop wireless communication system according to an exemplary embodiment of the present invention.  FIG. 4  illustrates a common operation process of a first BS and a second BS. For matters requiring distinguishing the first BS and the second BS, these are separately described below. 
         [0049]    Referring to  FIG. 4 , in step  401 , the BS determines sizes of channels with RSs. In a first hop, it is enough that the BS is aware of only a size of a channel to obtain channel information. To enhance the overall throughput, there is a need to additionally feed phase information back. The sizes of the channels are acquired through the following procedure. A first RS measures SINRs for respective BSs as in Equation 2 using pilot symbols transmitted by a first BS and a second BS. The first RS feeds the SINRs back to the first BS and the second BS. A second RS measures SINRs as in Equation 3 and then, feeds the SINRS back to the first BS and the second BS. The first BS and the second BS forward part of measurements of the SINRs that are fed back from the first RS and second RS. In other words, the first BS forwards, to the first RS, SINRs for a channel between the second BS and the second RS and a channel between the first BS and the second RS. The second BS forwards, to the second RS, SINRs for a channel between the second BS and the first RS and a channel between the first BS and the first RS. Accordingly, the first RS, the second RS, the first BS, and the second BS all acquire SINRs for all first-hop channels. 
         [0050]    Then, in step  403 , the BS generates two or more kinds of codewords. The codewords include common information codewords and private information codewords. The common information codeword is a codeword transmitted to all nodes with no destination node and the private information codeword is a codeword transmitted only to a destination node. 
         [0051]    Then, in step  405 , the BS allocates each power by each codeword. It is determined that power of the private information codeword is equal to 
         [0000]    
       
         
           
             min 
              
             
               ( 
               
                 
                   
                     k 
                     1 
                   
                   
                     
                        
                       
                         h 
                         12 
                       
                        
                     
                     2 
                   
                 
                 , 
                 
                   P 
                   1 
                 
               
               ) 
             
           
         
       
     
         [0000]    for the first BS and is equal to 
         [0000]    
       
         
           
             min 
              
             
               ( 
               
                 
                   
                     k 
                     1 
                   
                   
                     
                        
                       
                         h 
                         21 
                       
                        
                     
                     2 
                   
                 
                 , 
                 
                   P 
                   2 
                 
               
               ) 
             
           
         
       
     
         [0000]    for the second BS. It is determined that power of the common information codeword is equal to P 1 −P 1P  for the first BS and is equal to P 2 −P 2P  for the second BS. Here, the ‘h 12 ’ represents a channel coefficient between the first BS and the second RS, the ‘P 1 ’ represents the maximum transmit power of the first BS, the ‘h 21 ’ represents a channel coefficient between the second BS and the first RS, the ‘P 2 ’ represents the maximum transmit power of the second BS, the ‘k 1 ’ represents a weight of the private information codeword power, the ‘P 1P ’ represents a private information codeword transmit power of the first BS, and the ‘P 2P ’ represents a private information codeword transmit power of the second BS. Desirably, the ‘k 1 ’ is set to ‘1’ because a high throughput is obtained when the ‘k 1 ’ is determined to be equal to a variance value of noise added from an RS. 
         [0052]    Then, in step  407 , the BS transmits the respective codewords to the RSs. That is, the BS applies the determined powers of step  405  and transmits a signal that is a sum of the private information codeword and the common information codeword. The private information codeword is regarded as interference or noise for a node except a target node. 
         [0053]      FIG. 5  is a flowchart illustrating an operation process of an RS in a multi-hop wireless communication system according to an exemplary embodiment of the present invention.  FIG. 5  illustrates a common operation process of a first RS and a second RS. For matters requiring distinguishing the first RS and the second RS, these are separately described below. 
         [0054]    Referring to  FIG. 5 , in step  501 , the RS determines sizes of channels with BSs. The sizes of the channels are acquired through the following procedure. A first RS measures SINRs for the respective BSs as in Equation 2 using pilot symbols transmitted by a first BS and a second BS. The first RS feeds the SINRs back to the first BS and the second BS. A second RS measures SINRs as in Equation 3 and then, feeds the SINRS back to the first BS and the second BS. The first BS and the second BS forward part of measurements of the SINRs that are fed back from the first RS and the second RS. In other words, the first BS forwards, to the first RS, SINRs for a channel between the second BS and the second RS and a channel between the first BS and the second RS. The second BS forwards, to the second RS, SINRs for a channel between the second BS and the first RS and a channel between the first BS and the first RS. Accordingly, the first RS, the second RS, the first BS, and the second BS all acquire SINRs for all channels of a first hop. 
         [0055]    Then, in step  503 , the RS determines if all of common information codewords and private information codewords are received from the first BS and the second BS. 
         [0056]    Then, in step  505 , the RS determines sizes of channels with MSs. In other words, the RS receives feedbacks of SINRs from a first MS and a second MS. The sizes of the channels are acquired through the following procedure. The first MS measures SINRs for respective RSs as in Equation 4 using pilot symbols transmitted by the first RS and the second RS. The first MS feeds the SINRs back to the first RS and the second RS. The second MS measures SINRs as in Equation 5 and then, feeds the SINRS back to the first RS and the second RS. The first RS and the second RS forward part of measurements of the SINRs that are fed back from the first MS and the second MS. In other words, the first RS forwards, to the first MS, SINRs for a channel between the second RS and the second MS and a channel between the first RS and the second MS. The second RS forwards, to the second MS, SINRs for a channel between the second RS and the first MS and a channel between the first RS and the first MS. Accordingly, the first MS, the second MS, the first RS, and the second RS all acquire SINRs for all channels of a second hop. 
         [0057]    Then, in step  507 , the RS joint-decodes the common information codewords from signals received from BSs. The common information codewords can be decoded at all nodes because there is no target node. 
         [0058]    Then, in step  509 , the RS decodes the private information codewords from signals received from the BSs. The private information codewords are regarded as interference or noise for a node except a target node. 
         [0059]    Then, in step  511 , the RS encodes common information and private information by each BS. 
         [0060]    Then, in step  513 , the RS allocates power to each of the encoded codewords. The first RS and the second RS generate common information codewords (x jc (j=1,2)) on the basis of shared common information, and allocate α j Q j (j=1,2) as power of the common information codewords. The first RS and the second RS generate x jpc +x jpp (j=1,2) as private information codewords (x jp (j=1,2)). The first RS allocates α 1 Q 1 −(1−α 1 )α 2 Q 1  as power of x 1pc  and allocates (1−α 1 )α 2 Q 1  as power of x 1pp . The second RS allocates α 2 Q 2 −(1−α 2 )α 1 Q 2  as power of x 2pc  and allocates (1−α 2 )α 1 Q 2  as power of x 2pp . The α j (j=1,2) represents a transmit power coefficient of the common information codeword and is a real number between ‘0’ and ‘1’. The ‘Q 1 ’ represents the maximum transmit power of the first RS, and the ‘Q 2 ’ represents the maximum transmit power of the second RS. 
         [0061]    Then, in step  515 , the RS transmits the codewords to MSs. In other words, the RS applies the determined power of step  513  and transmits the common information codewords and the private information codewords. That is, the RS transmits x jc +x jpc +x jpp (j=1,2). 
         [0062]    If communication is performed as above, a transmission rate in the first hop is given as in Equation 6 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   h 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               
                                 1 
                                  
                                 c 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   h 
                                   21 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               
                                 2 
                                  
                                 c 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                    
                                   
                                     h 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   c 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   c 
                                 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   h 
                                   12 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               
                                 1 
                                  
                                 c 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   h 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               
                                 2 
                                  
                                 c 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                    
                                   
                                     h 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   c 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   c 
                                 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         p 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   h 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               
                                 1 
                                  
                                 p 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   2 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         p 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   h 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               P 
                               
                                 2 
                                  
                                 p 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     h 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 P 
                                 
                                   1 
                                    
                                   p 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
                     . 
                     
                         
                     
                      
                     6 
                   
                   ] 
                 
               
             
           
         
       
     
         [0063]    In Equation 6, the ‘R ic ’ represents a transmission rate of a BSi for common information, the ‘R ip ’ represents a transmission rate of the BSi for private information, the ‘h ij ’ represents a channel coefficient between the BSi and an RSj, the ‘P ic ’ represents a common information codeword transmit power of the BSi, and the ‘P ip ’ represents a private information codeword transmit power of the BSi. 
         [0064]      FIG. 6  is a flowchart illustrating an operation process of an MS in a multi-hop wireless communication system according to an exemplary embodiment of the present invention.  FIG. 6  illustrates a common operation process of a first MS and a second MS. For matters requiring distinguishing the first MS and the second MS, these are separately described below. 
         [0065]    Referring to  FIG. 6 , in step  601 , the MS determines sizes of channels with RSs. The sizes of the channels are acquired through the following procedure. A first MS measures SINRs for the respective RSs as in Equation 4 using pilot symbols transmitted by a first RS and a second RS. The first MS feeds the SINRs back to the first RS and the second RS. A second MS measures SINRs as in Equation 5 and then, feeds the SINRS back to the first RS and the second RS. The first RS and the second RS forward part of measurements of the SINRs that are fed back from the first MS and the second MS. In other words, the first RS forwards, to the first MS, SINRs for a channel between the second RS and the second MS and a channel between the first RS and the second MS. The second RS forwards, to the second MS, SINRs for a channel between the second RS and the first MS and a channel between the first RS and the first MS. Accordingly, the first MS, the second MS, the first RS, and the second RS all acquire SINRs for all channels of a second hop. 
         [0066]    Then, in step  603 , the MS determines if all of common information codewords and private information codewords are received from the first RS and the second RS. 
         [0067]    Then, in step  605 , the MS joint-decodes the common information codewords. 
         [0068]    Then, in step  607 , the MS decodes the private information codewords at a target node. The private information codewords are regarded as interference or noise for a node except a target node. 
         [0069]    If communication is performed as above, a transmission rate in the second hop is given as in Equation 7 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 
                                    
                                   
                                     jθ 
                                     1 
                                   
                                 
                                  
                                 
                                   
                                     α 
                                      
                                     
                                         
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                 
                                  
                                 
                                   g 
                                   11 
                                 
                               
                                
                             
                             2 
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   α 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   β 
                                 
                                 ) 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 
                                    
                                   
                                     jθ 
                                     2 
                                   
                                 
                                  
                                 
                                   
                                     β 
                                      
                                     
                                         
                                     
                                      
                                     
                                       Q 
                                       2 
                                     
                                   
                                 
                                  
                                 
                                   g 
                                   21 
                                 
                               
                                
                             
                             2 
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   α 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   β 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                   
                                     
                                        
                                       
                                         
                                            
                                           
                                             jθ 
                                             1 
                                           
                                         
                                          
                                         
                                           
                                             β 
                                              
                                             
                                                 
                                             
                                              
                                             
                                               Q 
                                               1 
                                             
                                           
                                         
                                          
                                         
                                           g 
                                           11 
                                         
                                       
                                        
                                     
                                     2 
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                      
                                     
                                       
                                          
                                         
                                           jθ 
                                           2 
                                         
                                       
                                        
                                       
                                         
                                           β 
                                            
                                           
                                               
                                           
                                            
                                           
                                             Q 
                                             2 
                                           
                                         
                                       
                                        
                                       
                                         g 
                                         21 
                                       
                                     
                                      
                                   
                                   2 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   1 
                                   + 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           11 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       ( 
                                       
                                         1 
                                         - 
                                         α 
                                       
                                       ) 
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                     
                                        
                                       
                                         g 
                                         21 
                                       
                                        
                                     
                                     2 
                                   
                                    
                                   
                                     ( 
                                     
                                       1 
                                       - 
                                       β 
                                     
                                     ) 
                                   
                                    
                                   
                                     Q 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 
                                    
                                   
                                     jθ 
                                     1 
                                   
                                 
                                  
                                 
                                   
                                     β 
                                      
                                     
                                         
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                 
                                  
                                 
                                   g 
                                   11 
                                 
                               
                                
                             
                             2 
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   α 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   β 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 
                                    
                                   
                                     jθ 
                                     2 
                                   
                                 
                                  
                                 
                                   
                                     β 
                                      
                                     
                                         
                                     
                                      
                                     
                                       Q 
                                       2 
                                     
                                   
                                 
                                  
                                 
                                   g 
                                   21 
                                 
                               
                                
                             
                             2 
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   α 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   β 
                                 
                                 ) 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                   
                                     
                                        
                                       
                                         
                                            
                                           
                                             jθ 
                                             1 
                                           
                                         
                                          
                                         
                                           
                                             β 
                                              
                                             
                                                 
                                             
                                              
                                             
                                               Q 
                                               1 
                                             
                                           
                                         
                                          
                                         
                                           g 
                                           12 
                                         
                                       
                                        
                                     
                                     2 
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                      
                                     
                                       
                                          
                                         
                                           jθ 
                                           2 
                                         
                                       
                                        
                                       
                                         
                                           β 
                                            
                                           
                                               
                                           
                                            
                                           
                                             Q 
                                             2 
                                           
                                         
                                       
                                        
                                       
                                         g 
                                         22 
                                       
                                     
                                      
                                   
                                   2 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   1 
                                   + 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           12 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       ( 
                                       
                                         1 
                                         - 
                                         α 
                                       
                                       ) 
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                     
                                        
                                       
                                         g 
                                         22 
                                       
                                        
                                     
                                     2 
                                   
                                    
                                   
                                     ( 
                                     
                                       1 
                                       - 
                                       β 
                                     
                                     ) 
                                   
                                    
                                   
                                     Q 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                       ′ 
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               
                                 1 
                                  
                                 c 
                               
                               ′ 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         c 
                       
                       ′ 
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   21 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               
                                 2 
                                  
                                 c 
                               
                               ′ 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                         ′ 
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                         ′ 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   c 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   c 
                                 
                                 ′ 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                       ′ 
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   12 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               
                                 1 
                                  
                                 c 
                               
                               ′ 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                       ′ 
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               
                                 1 
                                  
                                 c 
                               
                               ′ 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                         ′ 
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                         ′ 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   c 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   c 
                                 
                                 ′ 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         p 
                       
                       ′ 
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               
                                 1 
                                  
                                 p 
                               
                               ′ 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   2 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         p 
                       
                       ′ 
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               Q 
                               
                                 2 
                                  
                                 p 
                               
                               ′ 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 Q 
                                 
                                   1 
                                    
                                   p 
                                 
                                 ′ 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
                     . 
                     
                         
                     
                      
                     7 
                   
                   ] 
                 
               
             
           
         
       
     
         [0070]    In Equation 7, the ‘R ic ’ represents a transmission rate of an RSj for shared common information, the ‘R′ ic ’ represents a transmission rate of the RSj for common information by joint-decoding, the ‘R′ ip ’ represents a transmission rate of an RSi for private information, the ‘g pq ’ represents a channel coefficient between an RSp and an MSq, the ‘Q j ’ represents the maximum transmit power of the RSj, the ‘α j ’ represents a transmit power coefficient of a common information codeword of the RSj, the ‘Q′ jc ’ represents an x jpc  transmit power of the RSj, and the ‘Q′ jp ’ represents an x jpp  transmit power of the RSj. 
         [0071]      FIG. 7  is a flowchart illustrating an operation process of an RS in a multi-hop wireless communication system according to another exemplary embodiment of the present invention.  FIG. 7  illustrates an operation process of an RS and an MS applying DPC. In the following description, an exemplary embodiment of the present invention assume an encoding sequence of x 1c →x 2c .  FIG. 7  illustrates a common operation process of a first RS and second RS and a first MS and second MS. For matters requiring distinguishing the first RS and the second RS or matters requiring distinguishing the first MS and the second MS, these are separately described below. 
         [0072]    Referring to  FIG. 7 , in step  701 , the RS encodes x 1c . 
         [0073]    Then, the RS goes to step  703  and performs DPC using x 2c . The RS adds x ipc  and x ipp  to the DPC-processed x 1c  and transmits the addition result. At this time, the RS multiplies the x 1c  and the x 2c  by an adequate phase. Power allocated to each signal is given as in Equation 8 below: 
         [0000]      x 1c :α 1 Q 1 , x 2c :α 2 Q 2 , x 1pc :α 3 γ 1 Q 1 , x 1pp :α 3 γ 2 Q 1 ; 1st RS 
         [0000]      x 1c :β 2 Q 2 , x 2c :β 2 Q 2 , x 2pc :β 3 δ 1 Q 1 , x 2pp :β 3 δ 2 Q 1 ; 2nd RS   [Eqn. 8]       (Σα i =1, Σγ j =1, 0≦α i ≦1, 0≦γ j ≦1, i=1,2,3, j=1,2)         
         [0075]    In Equation 8, the ‘x jc ’ represents common information transmitted by an RSj, the ‘x jpc ’ and ‘x jpp ’ represent private information transmitted by the RSj, and the ‘α j ’, ‘β j ’, ‘β j ’, and ‘δ j ’ represent arbitrary variables. 
         [0076]    Then, in step  705 , upon receiving a signal from the RS, the MS decodes the x jc . Here, the first MS decodes the x 1c  and the second MS decodes the x 2c . The first MS can completely cancel interference caused by the x 2c  using the characteristic of DPC. Then, in step  707 , the MS joint-decodes the x jpc . There is no interference effect because interference has been already canceled. Then, in step  709 , the MS decodes the x ipp . 
         [0077]    If communication is implemented as above, a transmission rate in a second hop is given as in Equation 9 below: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       R 
                       
                         1 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 
                                   
                                     
                                       
                                         α 
                                         1 
                                       
                                        
                                       
                                         Q 
                                         1 
                                       
                                     
                                   
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                   
                                      
                                     
                                       jθ 
                                       1 
                                     
                                   
                                 
                                 + 
                                 
                                   
                                     
                                       
                                         β 
                                         1 
                                       
                                        
                                       
                                         Q 
                                         2 
                                       
                                     
                                   
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                   
                                      
                                     
                                       jω 
                                       1 
                                     
                                   
                                 
                               
                                
                             
                             2 
                           
                           
                             
                               1 
                               + 
                               
                                 
                                   
                                      
                                     
                                       g 
                                       11 
                                     
                                      
                                   
                                   2 
                                 
                                  
                                 
                                   α 
                                   3 
                                 
                                  
                                 
                                   Q 
                                   1 
                                 
                               
                               + 
                               
                                 
                                   
                                      
                                     
                                       g 
                                       21 
                                     
                                      
                                   
                                   2 
                                 
                                  
                                 
                                   β 
                                   3 
                                 
                                  
                                 
                                   Q 
                                   2 
                                 
                               
                             
                             ) 
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         c 
                       
                     
                     ≤ 
                     
                       
                         log 
                         2 
                       
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                                
                               
                                 
                                   
                                     
                                       
                                         α 
                                         2 
                                       
                                        
                                       
                                         Q 
                                         1 
                                       
                                     
                                   
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                   
                                      
                                     
                                       jθ 
                                       2 
                                     
                                   
                                 
                                 + 
                                 
                                   
                                     
                                       
                                         β 
                                         2 
                                       
                                        
                                       
                                         Q 
                                         2 
                                       
                                     
                                   
                                    
                                   
                                     g 
                                     22 
                                   
                                    
                                   
                                      
                                     
                                       jω 
                                       2 
                                     
                                   
                                 
                               
                                
                             
                             2 
                           
                           
                             
                               
                                 
                                   1 
                                   + 
                                   
                                     
                                        
                                       
                                         
                                           
                                             
                                               
                                                 
                                                   
                                                     
                                                       α 
                                                       1 
                                                     
                                                      
                                                     
                                                       Q 
                                                       1 
                                                     
                                                   
                                                 
                                                  
                                                 
                                                   g 
                                                   12 
                                                 
                                                  
                                                 
                                                    
                                                   
                                                     jθ 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 
                                                   
                                                     β 
                                                     1 
                                                   
                                                    
                                                   
                                                     Q 
                                                     2 
                                                   
                                                 
                                               
                                                
                                               
                                                 g 
                                                 22 
                                               
                                                
                                               
                                                  
                                                 
                                                   jω 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                        
                                     
                                     2 
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           12 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       α 
                                       3 
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                   + 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           22 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       β 
                                       3 
                                     
                                      
                                     
                                       Q 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                         ′ 
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                         ′ 
                       
                     
                     ≤ 
                     
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 α 
                                 3 
                               
                                
                               
                                 γ 
                                 1 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 β 
                                 3 
                               
                                
                               
                                 δ 
                                 1 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     11 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 α 
                                 3 
                               
                                
                               
                                 γ 
                                 2 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 β 
                                 3 
                               
                                
                               
                                 δ 
                                 2 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       
                         R 
                         
                           1 
                            
                           c 
                         
                         ′ 
                       
                       + 
                       
                         R 
                         
                           2 
                            
                           c 
                         
                         ′ 
                       
                     
                     ≤ 
                     
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                 
                                    
                                   
                                     g 
                                     12 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 α 
                                 3 
                               
                                
                               
                                 γ 
                                 1 
                               
                                
                               
                                 Q 
                                 1 
                               
                             
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     22 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 β 
                                 3 
                               
                                
                               
                                 δ 
                                 1 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                           
                             
                               
                                 
                                   1 
                                   + 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           12 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       α 
                                       3 
                                     
                                      
                                     
                                       γ 
                                       2 
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                   + 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           22 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       β 
                                       3 
                                     
                                      
                                     
                                       δ 
                                       2 
                                     
                                      
                                     
                                       Q 
                                       2 
                                     
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                      
                                     
                                       
                                         
                                           
                                             
                                               α 
                                               1 
                                             
                                              
                                             
                                               Q 
                                               1 
                                             
                                           
                                         
                                          
                                         
                                           g 
                                           12 
                                         
                                          
                                         
                                            
                                           
                                             jθ 
                                             1 
                                           
                                         
                                       
                                       + 
                                       
                                         
                                           
                                             
                                               β 
                                               1 
                                             
                                              
                                             
                                               Q 
                                               2 
                                             
                                           
                                         
                                          
                                         
                                           g 
                                           22 
                                         
                                          
                                         
                                            
                                           
                                             jω 
                                             1 
                                           
                                         
                                       
                                     
                                      
                                   
                                   2 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         1 
                          
                         p 
                       
                       ′ 
                     
                     ≤ 
                     
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   11 
                                 
                                  
                               
                               2 
                             
                              
                             
                               α 
                               3 
                             
                              
                             
                               γ 
                               2 
                             
                              
                             
                               Q 
                               1 
                             
                           
                           
                             1 
                             + 
                             
                               
                                 
                                    
                                   
                                     g 
                                     21 
                                   
                                    
                                 
                                 2 
                               
                                
                               
                                 β 
                                 3 
                               
                                
                               
                                 δ 
                                 2 
                               
                                
                               
                                 Q 
                                 2 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                    
                   
                     
 
                   
                    
                   
                     
                       R 
                       
                         2 
                          
                         p 
                       
                       ′ 
                     
                     ≤ 
                     
                       ( 
                       
                         1 
                         + 
                         
                           
                             
                               
                                  
                                 
                                   g 
                                   22 
                                 
                                  
                               
                               2 
                             
                              
                             
                               β 
                               3 
                             
                              
                             
                               δ 
                               2 
                             
                              
                             
                               Q 
                               2 
                             
                           
                           
                             
                               
                                 
                                   1 
                                   + 
                                   
                                     
                                       
                                          
                                         
                                           g 
                                           12 
                                         
                                          
                                       
                                       2 
                                     
                                      
                                     
                                       α 
                                       3 
                                     
                                      
                                     
                                       γ 
                                       2 
                                     
                                      
                                     
                                       Q 
                                       1 
                                     
                                   
                                   + 
                                 
                               
                             
                             
                               
                                 
                                   
                                      
                                     
                                       
                                         
                                           
                                             
                                               α 
                                               1 
                                             
                                              
                                             
                                               Q 
                                               1 
                                             
                                           
                                         
                                          
                                         
                                           g 
                                           12 
                                         
                                          
                                         
                                            
                                           
                                             jθ 
                                             1 
                                           
                                         
                                       
                                       + 
                                       
                                         
                                           
                                             
                                               β 
                                               1 
                                             
                                              
                                             
                                               Q 
                                               2 
                                             
                                           
                                         
                                          
                                         
                                           g 
                                           22 
                                         
                                          
                                         
                                            
                                           
                                             jω 
                                             1 
                                           
                                         
                                       
                                     
                                      
                                   
                                   2 
                                 
                               
                             
                           
                         
                       
                       ) 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Eqn 
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                      
                     9 
                   
                   ] 
                 
               
             
           
         
       
     
         [0078]    In Equation 9, the ‘R ic ’ represents a transmission rate of an RSj for shared common information, the ‘R′ ic ’ represents a transmission rate of the RSj for common information by joint-decoding, the ‘R′ ip ’ represents a transmission rate of an RSi for private information, the ‘g pq ’ represents a channel coefficient between an RSp and an MSq, the ‘Q j ’ represents the maximum transmit power of the RSj, the ‘α j ’ represents a transmit power coefficient of a common information codeword of the RSj, the ‘Q′ jc ’ represents an x jpc  transmit power of the RSj, and the ‘Q′ jp ’ represents an x jpp  transmit power of the RSj. 
         [0079]      FIG. 8  is a graph illustrating average total throughputs of several transmission schemes in a downlink environment. In detail,  FIG. 8  illustrates the results obtained on the basis of the following assumption and environment. 
         [0080]    The first is that, by Line Of Sight (LOS), a channel environment between a BS and an RS is better than a channel environment between the RS and an MS suffering small scale fading and thus, a transmission rate in a second hop determines the whole transmission rate. 
         [0081]    The second is that each node has knowledge of channel gain information through SINR measurement and sharing. An SPC-SIC based transmission scheme relatively less requires channel information than a DPC and SPC-SIC based scheme. Because of such trade-off relationship, one of the two transmission technologies is used targeting a Quality of Service (QoS) intended for use. 
         [0082]    The third is that a channel environment of a second hop is assumed to be a Rayleigh fading environment. Performance of DPC and SPC-SIC reflects only a real value of a channel and is compared with the conventional art, and basically shows the same tendency as the Rayleigh fading environment. 
         [0083]    The fourth is that a channel constant is generated at 10 4  times and an average throughput is taken. 
         [0084]    The fifth is that the maximum transmit powers of two BSs and two RSs are identical. 
         [0085]    As illustrated in  FIG. 8 , in the conventional art, interference from a different RS is regarded as noise and decoded without cancellation and thus, because of a low SINR, a throughput is low overall. The conventional art shows a low increasing rate without obtaining a high throughput despite an increase of a Signal to Noise Ratio (SNR). Particularly, a two-hop communication system can obtain a relatively high SNR even in a cell boundary area compared to a single-hop communication system and thus, it is a big problem in a throughput to take such interference as noise. 
         [0086]      FIG. 9  is a graph illustrating a comparison of a difference of a throughput depending on a layer decoding scheme. 
         [0087]    A throughput based on a proposed technology according to an exemplary embodiment of the present invention is described below with reference to  FIG. 9 . With an increase of an SNR, an increasing rate is relatively high. Compared to an SPC-SIC based technology, a DPC and SPC-SIC based technology can completely cancel interference in an MS because using DPC on the basis of shared common information. An increase of a throughput caused by this is shown in  FIG. 9 . In addition, in an exemplary embodiment of the present invention, a throughput in a 3 layer decoding structure is higher than a throughput obtained through a 2 layer decoding structure but a notice is that a difference is not so high. Thus, a 2 layer decoding technique for obtaining a throughput of any degree at low complexity can be additionally usefully used. Such a throughput increase is due to effectively canceling interference by partially decoding a signal of a different user in a multiuser channel environment. As described above, exemplary embodiments of the present invention can reduce an interference effect by a cooperative relay scheme through SPC in a multi-hop wireless communication system. Particularly, the system can prevent interference and enhance a communication throughput by implementing DPC based on SPC. 
         [0088]    Although the present disclosure has been described with an exemplary embodiment, various changes and modifications may be suggested to one skilled in the art. It is intended that the present disclosure encompass such changes and modifications as fall within the scope of the appended claims.