Abstract:
Improved ways of communicating assignment signals using flash signaling are described, e.g., for wireless terminals with low SNR, that are more robust against large variation of channel gains due to e.g., frequency selective fading and fast fading in time. Coding and modulation methods and apparatus that have excellent properties against symbol erasures are described. The use of flash signaling provides an improved assignment channel having strong performance on the fading channel without compromising the performance on the AWGN channel. In one exemplary embodiment, the coding and modulation method can tolerate up to 5 erased symbols out of 8 transmitted symbols. One embodiment reduces or minimizes the sector interference on the flash assignment by improving or maximizing orthogonality between different sectors. In addition, one embodiment describes improved ways of swapping flash assignment tone-symbols in the presence other high priority signals, like sector pilots and sector null pilots.

Description:
FIELD 
       [0001]    The invention relates to a wireless communications system. More particularly, the invention relates to methods and apparatus for communicating overhead signals. 
       BACKGROUND 
       [0002]    Communications system frequently include a plurality of network nodes which are coupled to access nodes, e.g., base stations, through which end nodes, e.g., wireless terminals, are coupled to the network. 
         [0003]    In a wireless communication system, effective utilization of the network resources, such as spectrum, requires a base station to efficiently assign wireless terminals for reception and transmission in available traffic channels. Often, to enhance the resource utilization, a dedicated traffic assignment channel, or channel of that nature, is implemented in a wireless communication system. Frequently, the problem in designing traffic assignment channel arises from the fact that assignment channel has to reach every wireless terminal for the assignment to be effective. This universal accessibility, even for wireless terminals residing at low signal-to-noise ratios, requires that the assignment channel to be sent at relatively high power. Sometimes this requirement incurs unnecessary high power to be transmitted at the access nodes, e.g base stations, especially when there are only a few low SNR wireless terminals, and degrades the overall efficiency of the wireless communication system. 
         [0004]    To make assignment more power efficient, some wireless communication systems, e.g. Flash-OFDM system, further introduce a special dedicated assignment channel for wireless terminals at low SNRs. Because the bad SNR mobiles are relatively few, the number of bits need to be transmitted for assignment is small and therefore optimal coding only requires a few symbols, in which case sufficiently high power can be assigned to guarantee the reach of the few wireless terminals at low SNRs. Now, since the few number of modulated symbols spread sparsely in time and frequency, the dedicated assignment channel for low SNR wireless terminals can be now more susceptible to impairment prevalent in wireless communication, e.g., frequency selective fading due to multi-path reception and/or fast fading due to mobility of the wireless terminal. Channel fading causes large variations of the channel gain experienced on the few modulated symbols of the dedicated assignment channel for low SNR wireless terminals. While some of the modulated symbols experience much stronger path gain than the mean, other modulated symbols can be deeply faded. Therefore, to make the dedicated assignment channel for low SNR wireless terminal effective and efficient, it is important for the communication method to be robust against fading. In particular, the communication method needs to be robust against the erasure of some portion of the symbols. Often, communication methods designed for Additive White Gaussian Noise (AWGN) channels do not suffice. 
         [0005]    In view of the above discussion, it should be appreciated that there is a need for new and improved ways of communicating dedicated assignment signals for low SNRs wireless terminals which are more robust against large variation of channel gains due to e.g., frequency selective fading and fast fading in time. 
       SUMMARY 
       [0006]    Flash signaling is used to modulate dedicated assignment channel for low SNR wireless terminals. Flash signaling, as used herein, allocates high power on selected transmission units, e.g. a tone symbol in an OFDM system, and uses the phase and location of the high power transmission units to communicate information. Henceforth, a dedicated assignment channel for low SNR will be called flash assignment channel. Flash assignment channel resides on a dedicated set of transmission units. Often the dedicated set of transmission units are generally used for other channels, e.g. the regular traffic assignment channel. The signals of flash assignment channel overlay on the signals of the other channel. In general, flash signaling punches the existing signal and replaces it with a flash signal. If the existing signal is a higher priority signal than the flash signal, however, then the overlay has to be carried out differently. 
         [0007]    Improved ways of communicating assignment signals using flash signaling are described, e.g., for wireless terminals with low SNR, that are more robust against large variation of channel gains due to e.g., frequency selective fading and fast fading in time. Coding and modulation methods and apparatus that have excellent properties against symbol erasures are described. The use of flash signaling provides an improved assignment channel having strong performance on the fading channel without compromising the performance on the AWGN channel. In one exemplary embodiment, the coding and modulation method can tolerate up to 5 erased symbols out of 8 transmitted symbols. By comparison, an optimal coding and modulation method designed for the AWGN channel can only tolerate up to 4 erased symbols. Given the statistical nature of channel fading, the reduction of the minimal required received symbols dramatically increases the probability of successful communication and thus improves the effectiveness and efficiency of the flash assignment. 
         [0008]    Improved ways of organizing flash assignment signals in a sectorized deployment of wireless systems are also described in the present application. Some embodiments reduce or minimize the sector interference on the flash assignment by improving or maximizing orthogonality between different sectors. In addition, some embodiments provide improved ways of swapping flash assignment tone-symbols in the presence other high priority signals, like sector pilots and sector null pilots. 
         [0009]    Additional features and benefits are discussed in the detailed description that follows. 
     
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0010]      FIG. 1  illustrates a network diagram of an exemplary communications system implemented in accordance with an aspect. 
           [0011]      FIG. 2  illustrates an exemplary end node implemented in accordance with an aspect. 
           [0012]      FIG. 3  illustrates an exemplary access node implemented in accordance with an aspect. 
           [0013]      FIG. 4  illustrates the tone modulation operation carried out in the transmitter of an access node in accordance with an aspect. 
           [0014]      FIG. 5  illustrates the encoding and mapping module that translate information bits to QPSK symbols in accordance with an aspect. 
           [0015]      FIG. 6  illustrates two exemplary encoding generator matrices, can be used in the encoding and mapping module in accordance with an aspect. 
           [0016]      FIG. 7  illustrates an allocation of tone-symbols for three sectors in a sectorized deployment in accordance with an aspect. 
           [0017]      FIG. 8  illustrates a module that determines the tone-symbols used for the flash assignment in accordance with an aspect. 
           [0018]    
         FIG. 9 
       
       
    
    
     DETAILED DESCRIPTION 
       [0019]      FIG. 1  illustrates an exemplary communication system  100 , e.g., a cellular communication network, which comprises a plurality of nodes interconnected by communications links. The network may use OFDM signals to communicate information over wireless links. However, other types of signals, e.g., CDMA signals, might be used instead. Nodes in the exemplary communication system  100  exchange information using signals, e.g., messages, based on communication protocols, e.g., the Internet Protocol (IP). The communications links of the system  100  may be implemented, for example, using wires, fiber optic cables, and/or wireless communications techniques. The exemplary communication system  100  includes a plurality of end nodes  144 ,  146 ,  144 ′,  146 ′,  144 ″,  146 ″, which access the communication system via a plurality of access nodes  140 ,  140 ′,  140 ″. The end nodes  144 ,  146 ,  144 ′,  146 ′,  144 ″,  146 ″ may be, e.g., wireless communication devices or terminals, and the access nodes  140 ,  140 ′,  140 ″ may be, e.g., wireless access routers or base stations. The exemplary communication system  100  also includes a number of other nodes  104 ,  106 ,  109 ,  110 , and  112 , used to provide interconnectivity or to provide specific services or functions. Specifically, the exemplary communication system  100  includes a Server  104 , used to support transfer and storage of state pertaining to end nodes. The Server node  104  may be an AAA server, or it may be a Context Transfer Server, or it may be a server including both AAA server functionality and Context Transfer server functionality. 
         [0020]    The  FIG. 1  exemplary system  100  depicts a network  102  that includes the Server  104 , the Home Agent node  109  and the node  106 , all of which are connected to an intermediate network node  110  by a corresponding network link  105 ,  108  and  107 , respectively. The intermediate network node  110  in the network  102  also provides interconnectivity to network nodes that are external from the perspective of the network  102  via network link  111 . Network link  111  is connected to another intermediate network node  112 , which provides further connectivity to a plurality of access nodes  140 ,  140 ′,  140 ″ via network links  141 ,  141 ′,  141 ″, respectively. 
         [0021]    Each access node  140 ,  140 ′,  140 ″ is depicted as providing connectivity to a plurality of N end nodes ( 144 ,  146 ), ( 144 ′,  146 ′), ( 144 ″,  146 ″), respectively, via corresponding access links ( 145 ,  147 ), ( 145 ′,  147 ′), ( 145 ″,  147 ″), respectively. In the exemplary communication system  100 , each access node  140 ,  140 ′,  140 ″ is depicted as using wireless technology, e.g., wireless access links, to provide access. A radio coverage area, e.g., communications cell,  148 ,  148 ′,  148 ″ of each access node  140 ,  140 ′,  140 ″, respectively, is illustrated as a circle surrounding the corresponding access node. 
         [0022]    Alternative embodiments include various network topologies, where the number and type of network nodes, the number and type of access nodes, the number and type of end nodes, the number and type of Servers and Home or other Agents, the number and type of links, and the interconnectivity between nodes may differ from that of the exemplary communication system  100  depicted in  FIG. 1 . 
         [0023]    In various embodiments some of the functional entities depicted in  FIG. 1  may be omitted or combined. The location or placement of these functional entities in the network may also be varied. 
         [0024]      FIG. 2  provides a detailed illustration of an exemplary end node  200 , e.g., a mobile node. The exemplary end node  200 , depicted in  FIG. 2 , is a detailed representation of an apparatus that may be used as any one of the end nodes  144 ,  146 ,  144 ′,  146 ′,  144 ″,  146 ″, depicted in  FIG. 1 . In the  FIG. 2  embodiment, the end node  200  includes a processor  204 , a wireless communication interface  230 , a user input/output interface  240  and memory  210  coupled together by bus  206 . Accordingly, via bus  206  the various components of the end node  200  can exchange information, signals and data. The components  204 ,  206 ,  210 ,  230 ,  240  of the end node  200  are located inside a housing  202 . 
         [0025]    The wireless communication interface  230  provides a mechanism by which the internal components of the end node  200  can send and receive signals to/from external devices and network nodes, e.g., access nodes. The wireless communication interface  230  includes, e.g., a receiver module  232  with a corresponding receiving antenna  236  and a transmitter circuit  234  with a corresponding transmitting antenna  238  used for coupling the end node  200  to other network nodes, e.g., via wireless communications channels. 
         [0026]    The exemplary end node  200  also includes a user input device  242 , e.g., keypad, and a user output device  244 , e.g., display, which are coupled to bus  206  via the user input/output interface  240 . Thus, user input/output devices  242 ,  244  can exchange information, signals and data with other components of the end node  200  via user input/output interface  240  and bus  206 . The user input/output interface  240  and associated devices  242 ,  244  provide a mechanism by which a user can operate the end node  200  to accomplish various tasks. In particular, the user input device  242  and user output device  244  provide the functionality that allows a user to control the end node  200  and applications, e.g., modules, programs, routines and/or functions, that execute in the memory  210  of the end node  200 . 
         [0027]    The processor  204  under control of various modules, e.g., routines, included in memory  210  controls operation of the end node  200  to perform various signaling and processing as discussed below. The modules included in memory  210  are executed on startup or as called by other modules. Modules may exchange data, information, and signals when executed. Modules may also share data and information when executed. In the  FIG. 2  embodiment, the memory  210  of end node  200  includes a signaling/control module  212  and signaling/control data  214 . 
         [0028]    The signaling/control module  212  controls processing relating to receiving and sending signals, e.g., messages, for management of state information storage, retrieval, and processing. Signaling/control data  214  includes state information, e.g., parameters, status and/or other information relating to operation of the end node. In particular, the signaling/control data  214  may include configuration information  216 , e.g., end node identification information, and operational information  218 , e.g., information about current processing state, status of pending responses, etc. The module  212  may access and/or modify the data  214 , e.g., update the configuration information  216  and/or the operational information  218 . 
         [0029]      FIG. 3  provides a detailed illustration of an exemplary access node  300 . The exemplary access node  300 , depicted in  FIG. 3 , is a detailed representation of an apparatus that may be used as any one of the access nodes  140 ,  140 ′,  140 ″ depicted in  FIG. 1 . In the  FIG. 3  embodiment, the access node  300  includes a processor  304 , memory  310 , a network/internetwork interface  320  and a wireless communication interface  330 , coupled together by bus  306 . Accordingly, via bus  306  the various components of the access node  300  can exchange information, signals and data. The components  304 ,  306 ,  310 ,  320 ,  330  of the access node  300  are located inside a housing  302 . 
         [0030]    The network/internetwork interface  320  provides a mechanism by which the internal components of the access node  300  can send and receive signals to/from external devices and network nodes. The network/internetwork interface  320  includes, a receiver module  322  and a transmitter module  324  used for coupling the node  300  to other network nodes, e.g., via copper wires or fiber optic lines. The wireless communication interface  330  also provides a mechanism by which the internal components of the access node  300  can send and receive signals to/from external devices and network nodes, e.g. end nodes. The wireless communication interface  330  includes, e.g., a receiver module  332  with a corresponding receiving antenna  336  and a transmitter module  334  with a corresponding transmitting antenna  338 . The interface  330  is used for coupling the access node  300  to other network nodes, e.g., via wireless communication channels. 
         [0031]    The processor  304  under control of various modules, e.g., routines, included in memory  310  controls operation of the access node  300  to perform various signaling and processing. The modules included in memory  310  are executed on startup or as called by other modules that may be present in memory  310 . Modules may exchange data, information, and signals when executed. Modules may also share data and information when executed. In the  FIG. 3  embodiment, the memory  310  of the access node  300  includes a State Management module  312  and a Signaling/Control module  314 . Corresponding to each of these modules, memory  310  also includes State Management data  313  and the Signaling/Control data  315 . 
         [0032]    The State Management Module  312  controls the processing of received signals from end nodes or other network nodes regarding state storage and retrieval. The State Management Data  313  includes, e.g., end-node related information such as the state or part of the state, or the location of the current end node state if stored in some other network node. The State Management module  312  may access and/or modify the State Management data  313 . 
         [0033]    The Signaling/Control module  314  controls the processing of signals to/from end nodes over the wireless communication interface  330 , and to/from other network nodes over the network/internetwork interface  320 , as necessary for other operations such as basic wireless function, network management, etc. The Signaling/Control data  315  includes, e.g., end-node related data regarding wireless channel assignment for basic operation, and other network-related data such as the address of support/management servers, configuration information for basic network communications. The Signaling/Control module  314  may access and/or modify the Signaling/Control data  315 . 
         [0034]    The Transmit module  324  comprises a Tone modulation module  340 . Tone modulation module  340  controls the modulation of tone symbols that are transmitted from access node to end nodes. Tone modulation module encodes user data bits, e.g. information bits, and modulates coded bits to modulation symbols, e.g. QPSK, QAM16, QAM64, QAM256, etc. Tone modulation module further multiplexes modulation symbols from all logical channels together into a whole transmission unit, e.g. an OFDM symbol. The multiplex sometimes involves tone puncture and tone replacement. For example, in the Flash-OFDM system, pilot tone-symbols and sector null tone-symbols have highest priority and punch other symbols. 
         [0035]      FIG. 4  illustrates the structure of tone modulation module  340 . In focusing on flash assignment channel, the tone modulation module comprises Flash assignment channel coding/modulation module  401  and other channels coding/modulation module  402 . The other channel coding/modulation module  402  controls the coding and modulation of channel others than flash assignment. That includes traffic channel, pilot channel, sector null channel, etc. The flash assignment channel  401  controls the coding and modulation of flash assignment channel. In a nutshell, the flash assignment channel takes k+2 information bits, e.g. 7 bits, and generates m QPSK symbols, e.g. 8 QPSK symbols. In particular, the flash assignment channel coding and modulation module does the coding and modulation in two parallel steps, carried out by encoding and mapping module  404  and tone assignment module  405  respectively. Encoding and mapping module  404  uses k of total k+2 information bits to generate m QPSK symbols; and tone assignment module  405  uses 2 of the total k+2 information bits to generate the positions of the m QPSK symbols. The tone modulation module further comprises Tone multiplex module  403 . Tone multiplex module  403  comprises modulation symbols from all logical channels with their specified position into a whole transmission unit, e.g. an OFDM symbol. In an exemplary Flash-OFDM system, the OFDM symbol is sampled and modulated to carrier frequency for transmission to the end node. 
         [0036]      FIG. 5  illustrates the coding and mapping module  404  included in flash assignment channel coding and modulation module  401 . The coding and mapping module  500  comprises vector-matrix multiplication module  501  and mapping module  502 . The coding and mapping module  500  takes a vector u of k information bits and encodes and maps the coded bit vector c to m QPSK symbols. The vector-matrix multiplication module  501  performs a vector-matrix multiplication operation c=uG that encodes information bit vector u into coded bits vector c of length n. In one embodiment, k is an odd number and n is an even number. In another embodiment, k is 5 and n is 16. The n coded bits, e.g. 16 coded bits, are then grouped adjacently into m=n/2 pairs (c 15 , c 14 ), (c 13 , c 12 ), . . . , (c 1 , c 0 ). Each pair (c(2i+1), c(2i)) produces one QPSK symbol s(i), for i=7, . . . , 0, as illustrated in mapping module  501 . 
         [0037]      FIG. 6  illustrates two exemplary generator matrix used in vector-matrix multiplication module  501 . In one embodiment, generator matrix G is a 5 by 16 binary matrix. A codeword c is a vector generated by multiplying the input row vector u by G, i.e. c=uG. Here u is the information bits vector of length  5 . 
         [0038]    In communication, properties of the codes generated by generator matrix G is of major importance. Conventionally, the metric for good codes is minimum distance. The higher the minimum distance is, the better performance the code has in the presence of Gaussian noise. At the specified code rate, e.g. 5/16, and block length, e.g. 16, one of the optimal codes is a Hamming code, as given by the generator matrix G  601 . However for the code used on the flash assignment in a wireless communication, properties against fading is another important metric. For example, the code generated by matrix  601  only can tolerate 3 symbols erasures. However, since the permutation of the columns of the generator matrix does not change the distance properties of the resulting code, it is reasonable to expect a better property against fading by permuting the columns. In the following, we develop the methods to choose the right set of permutations, for the embodiment of 5 information bits and 16 coded bits. The principles described below can be applied to other numbers of information bits and coded bits. 
         [0039]    We start with the standard (5, 16) Hamming code illustrated in matrix G  601 . The matrix G  601  presents the standard (5, 16) Hamming code in its systematic form, where columns are indexed as 0, 1, 2, . . . , f in hex format, from the leftmost to the rightmost column. We consider generator matrices generated by permuting the columns of matrix G  601 . Given a permutation p, we denote p(G) as the matrix permuting the columns of G by p. Since adjacent bits are paired together, each pair generating one of the 8 modulation symbols, different permutation of the columns has different code performance against fading. Consider the extreme case of frequency selective fading that symbols are essentially erased when faded. For any permutation, there is a fixed maximum number v that if some v+1 symbols are erased, then the set of 5 information bits cannot be uniquely determined, but if any v symbols are erased, the set of 5 information bits can be uniquely determined. For example, such a maximum number k for the matrix G  801  is 4. Let us define the maximum number k for a matrix G as v(G). Consider then the matrix G′  602 , which is given by a column permutation [0 1 2 3 4 5 6 b 7 c 8 9 a e d f] on matrix G  601 . The number v(G′)=5. 
         [0040]    In the following, we search all the permutations p of columns, such that the permutated matrix p(G) by the permutation p has the property v(p(G))=5. For convenience in this description, we introduce some equivalence relation on the permutation. This allows us to refer to a smaller set of permutations (having only 5760 permutations). We will list all 5760 permutations of the smaller set below. The discussion is applicable to all permutations of the 5760 permutations that follow any combination of the following two rules. First, two permutations p 1  and p 2  are equivalent if we can obtain p 1  via p 2  by permuting the numbers in adjacent pairs. So, for example, a first permutation [0 1 2 3 4 5 6 7 8 9 a b c d e f] is equivalent to a second permutation [2 3 0 1 4 5 8 9 a b e f 6 7 c d]. The pair “0 1” has been interchanged (permuted) with the pair “2 3”. Also, the pair “c d” has been moved (permuted) to the right, so that the pair “c d” is the last pair in the second permutation. Also, the pair “6 7” has been moved (permuted) three pairs to the right so that the pair “6 7” is to the right of the pair “e f”. The first and second permutations are equivalent. 
         [0041]    Second, two permutations p 1  and p 3  are equivalent if we can obtain p 1  via p 3  by swapping the numbers in any subset of the 8 pairs. So, for example, first permutation [0 1 2 3 4 5 6 7 8 9 a b c d e f] is equivalent to third permutation [1 0 2 3 5 4 6 7 8 9 a b d c e f]. The “−0” and “1” of the “0 1” pair of the first permutation have been reversed to “1 0” in the third permutation. The first and third permutations are equivalent. The transitive property applies to the equivalence of permutations. Thus, for example, in the above two examples, the second permutation is equivalent to the third permutation, because they are both equivalent to the first permutation. Alternatively state, the second and third permutations are equivalent because one can be obtained from the other by a combination of the first and second rules above. 
         [0042]    We now define the following equivalence relationship for two generator matrices. Definition: two matrices p 1 (G) and p 2 (G) are equivalent if and only if p 1  and p 2  are equivalent. Using the equivalent relationship, we can describe the generator matrices, by specifying the permutations, in a canonical form. In particular, we specify the permutation by the form [(a 1  b 1 ) (a 2  b 2 ) (a 3  b 3 ) . . . (a 8  b 8 )], where a 1 &lt;a 2 &lt; . . . &lt;a 8 , and a 1 &lt;b 1 , a 2 &lt;b 2 , . . . , a 8 &lt;b 8 . In each equivalent class, such a permutation is unique and thus is chosen as the representative to be specified here. By going through all the possible combinations of representative of equivalent classes, we obtain the following 5760 generator (representative) matrices that have the property v(G′)=5. In the description, we list the permutations instead of matrices, with the understanding there is a one-to-one correspondence between permutation p and generator matrix G′=v(G). In each row, we list four permutations. 
       For example, the permutation [0123456b7c89aedf] generates the matrix G′  602  in FIG. 6. 
     List: 5760 Generator Matrices with the Desired Property 
       [0043]      
         [0000]    
       
         
               
               
               
               
             
           
               
                   
               
             
             
               
                 0123456b7c89aedf 
                 0123456c798badef 
                 0123456c7f8d9eab 
                 0123456d7a89bfce 
               
               
                 0123465b7c8a9def 
                 0123465c7a8b9edf 
                 0123465c7f8e9bad 
                 0123465e798abfcd 
               
               
                 0123475b6e89afcd 
                 0123475d6b8a9fce 
                 0123475d6f8e9bac 
                 0123475f6e8d9cab 
               
               
                 012349586b7fadce 
                 012349586e7abcdf 
                 0123495b6d78acef 
                 0123495e678dacbf 
               
               
                 01234a576d8e9cbf 
                 01234a5b687f9ecd 
                 01234a5d6879bcef 
                 01234a5e6b789cdf 
               
               
                 01234b576c8e9daf 
                 01234b586f79aecd 
                 01234b5c678d9fae 
                 01234b5f687a9dce 
               
               
                 01234d576e8a9fbc 
                 01234d576f8b9eac 
                 01234d5e6c789baf 
                 01234d5f687c9bae 
               
               
                 01234e586f7c9dab 
                 01234e5c6d789fab 
                 01234e5d6789afbc 
                 01234e5f678b9cad 
               
               
                 012435697d8abcef 
                 0124356b7c89afde 
                 0124356d7a89becf 
                 0124356f7d8c9eab 
               
               
                 0124365a7e89bfcd 
                 0124365c7a8b9fde 
                 0124365c7f8e9abd 
                 0124365f7e8c9dab 
               
               
                 0124375a6d8b9cef 
                 0124375d6b8a9ecf 
                 0124375d6f8e9abc 
                 0124375e698bafcd 
               
               
                 012439586b7eadcf 
                 012439586f7abcde 
                 0124395a687cbdef 
                 0124395e678cafbd 
               
               
                 01243a567d8e9cbf 
                 01243a58697fbecd 
                 01243a5d678c9fbe 
                 01243a5f6b789cde 
               
               
                 01243b567c8e9daf 
                 01243b5a6f789ecd 
                 01243b5c6978adef 
                 01243b5e687a9dcf 
               
               
                 01243c567e8b9fad 
                 01243c567f8a9ebd 
                 01243c5e687d9abf 
                 01243c5f6d789abe 
               
               
                 01243e586d7f9cab 
                 01243e5c6789adbf 
                 01243e5d687c9fab 
                 01243e5f678a9dbc 
               
               
                 012534697d8abfce 
                 0125346c798bafde 
                 0125346c7f8d9abe 
                 0125346f7d8c9bae 
               
               
                 0125374d6e8a9bcf 
                 0125374d6f8b9ace 
                 0125374e6b8c9daf 
                 0125374f6b8d9cae 
               
               
                 012538496b7facde 
                 012538496e7abdcf 
                 0125384a697ebfcd 
                 0125384f6c7e9dab 
               
               
                 012539486b7eacdf 
                 012539486f7abdce 
                 0125394a678dbecf 
                 0125394e687dabcf 
               
               
                 01253b486e79afcd 
                 01253b49678caedf 
                 01253b4e687f9acd 
                 01253b4f678a9dce 
               
               
                 01253c467e8b9adf 
                 01253c467f8a9bde 
                 01253c4e6978afbd 
                 01253c4f6879aebd 
               
               
                 01253e467a8d9cbf 
                 01253e496c78abdf 
                 01253e4a6f789bcd 
                 01253e4d6879acbf 
               
               
                 01253f467a8c9dbe 
                 01253f486e7d9cab 
                 01253f4a678b9cde 
                 01253f4d6978acbe 
               
               
                 0126345a7e89bcdf 
                 0126345b7c8a9fde 
                 0126345e798abdcf 
                 0126345f7e8c9bad 
               
               
                 012637495e8dabcf 
                 0126374b5c8d9aef 
                 0126374d5b8c9eaf 
                 0126374f5b8e9cad 
               
               
                 012638495a7dbcef 
                 0126384b5f7a9cde 
                 0126384d5f7c9abe 
                 0126384f5c7d9eab 
               
               
                 01263a457d8e9bcf 
                 01263a485b7e9fcd 
                 01263a485c79bdef 
                 01263a4d5789becf 
               
               
                 01263b457c8e9adf 
                 01263b485e7a9cdf 
                 01263b49578cadef 
                 01263b4f578a9ecd 
               
               
                 01263c475a8d9fbe 
                 01263c485e7d9baf 
                 01263c4b5789afde 
                 01263c4f5879adbe 
               
               
                 01263e457a8d9fbc 
                 01263e475c89abdf 
                 01263e475f8a9bcd 
                 01263e4d5879afbc 
               
               
                 01263f457a8c9ebd 
                 01263f475a8e9cbd 
                 01263f49587cabde 
                 01263f4b587e9acd 
               
               
                 0127345a6d8b9fce 
                 0127345b6e89adcf 
                 0127345e698bacdf 
                 0127345f6e8d9abc 
               
               
                 0127354a6d8e9bcf 
                 0127354b6c8e9adf 
                 0127354e6b8c9fad 
                 0127354f6b8d9eac 
               
               
                 0127364d5b8c9fae 
                 0127364e5d89abcf 
                 0127364e5f8b9acd 
                 0127364f5b8e9dac 
               
               
                 0127384a5e6b9dcf 
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                 0e1d2c34576b89af 
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                 0e1d2c3a485967bf 
               
               
                 0e1d2f364c578b9a 
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                 0e1f23475a6c8d9b 
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                 0e1f24365b7d8c9a 
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                 0e1f26345c7b8d9a 
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                 0f123a456c7e8b9d 
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                 0f123b456e7c8a9d 
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                 0f123c45697b8dae 
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                 0f123d456b798cae 
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                 0f123e4a567c8d9b 
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                 0f1326495e7d8bac 
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                 0f1328495a6b7cde 
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                 0f132a495e6c78bd 
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                 0f132b465d7c89ae 
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                 0f132c465a7b8e9d 
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                 0f132d49567c8eab 
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                 0f132e465b7a8c9d 
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                 0f1427395e6c8abd 
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                 0f1428395b6d7ace 
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                 0f1429375d6c8abe 
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                 0f142a375c6d89be 
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                 0f142b395e687dac 
                 0f142b3a586e7d9c 
                 0f142b3d5a6789ce 
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                 0f142c39576d8eab 
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                 0f142d375b6a8e9c 
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                 0f142e375a6b8d9c 
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                 0f1523496d7a8cbe 
                 0f15234a6e7b8d9c 
                 0f15234d697c8abe 
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                 0f1524396b7c8dae 
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                 0f1526394b7a8dce 
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                 0f15273a496b8cde 
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                 0f152a384e6b7c9d 
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                 0f152b384c697dae 
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                 0f152c384b6e7a9d 
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                 0f152d38496c7bae 
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                 0f1623495d7b8eac 
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                 0f1628394d5b7cae 
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                 0f1629354e7a8bcd 
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                 0f162a345b7c8e9d 
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                 0f162b34597d8cae 
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                 0f162c345e7a8b9d 
                 0f162c374b5a89de 
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                 0f162d345c7b89ae 
                 0f162d354c7e89ab 
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                 0f162d3b4e587c9a 
               
               
                 0f162e35497d8cab 
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                 0f1724395c6a8ebd 
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                 0f17283a4d5c69be 
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                 0f17283d4a5b6e9c 
               
               
                 0f1729384e5a6cbd 
                 0f17293b465a8dce 
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                 0f17293e4d5c68ab 
               
               
                 0f172a34596c8dbe 
                 0f172a3b4e5968cd 
                 0f172a3d465c8e9b 
                 0f172a3d49586bce 
               
               
                 0f172b345a6d8e9c 
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                 0f172c345d6a89be 
                 0f172c384a5e69bd 
                 0f172c3d456e89ab 
                 0f172c3e4a586d9b 
               
               
                 0f172d345e6b8a9c 
                 0f172d3a465b89ce 
                 0f172d3a4e586c9b 
                 0f172d3c495e68ab 
               
               
                 0f172e38495d6bac 
                 0f172e39456c8dab 
                 0f172e394a5b68cd 
                 0f172e3c465d8a9b 
               
               
                 0f1923456d7e8cab 
                 0f1923465d7b8ace 
                 0f19234b5a687ecd 
                 0f19234c576e8abd 
               
               
                 0f1924356e7c8dab 
                 0f1924375c6a8bde 
                 0f19243a5b6e78cd 
                 0f19243d567e8bac 
               
               
                 0f1926374c5a8dbe 
                 0f1926384e5d7cab 
                 0f19263a4e578bcd 
                 0f19263e457b8dac 
               
               
                 0f1927354e6a8cbd 
                 0f19273d465b8cae 
                 0f19273e485c6dab 
                 0f19273e4b568acd 
               
               
                 0f192a345b6d78ce 
                 0f192a354b678dce 
                 0f192a38465c7bde 
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                 0f192b345a687cde 
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                 0f192b3a45678cde 
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                 0f192c34576d8bae 
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                 0f192c3d465a78be 
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                 0f192d34567c8abe 
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                 0f192d374c5b68ae 
                 0f192d3a485c67be 
               
               
                 0f1a23456e7b89cd 
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                 0f1a24395e6b78cd 
                 0f1a243b58697cde 
                 0f1a243c5e678b9d 
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                 0f1a26345d7c8e9b 
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                 0f1a2734596c8bde 
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                 0f1a273b48596ecd 
                 0f1a273e4c586b9d 
               
               
                 0f1a28354d6e7c9b 
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                 0f1a28394c567dbe 
                 0f1a283c4b576e9d 
               
               
                 0f1a29345d6b78ce 
                 0f1a29354d678bce 
                 0f1a293b46578cde 
                 0f1a293e48576cbd 
               
               
                 0f1a2d35467b8e9c 
                 0f1a2d37485e6c9b 
                 0f1a2d374b5689ce 
                 0f1a2d3c465978be 
               
               
                 0f1a2e34567d8b9c 
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                 0f1b23495e687acd 
                 0f1b234a586d79ce 
                 0f1b234d5e678a9c 
                 0f1b234e576d89ac 
               
               
                 0f1b24356a7e89cd 
                 0f1b24375e6c8d9a 
                 0f1b243a586c79de 
                 0f1b243d5c6789ae 
               
               
                 0f1b2634597d8ace 
                 0f1b26384a597ecd 
                 0f1b263d45798eac 
                 0f1b263d4e587a9c 
               
               
                 0f1b27345c6d8e9a 
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                 0f1b2835496a7dce 
                 0f1b283a4d567e9c 
                 0f1b283c456d7e9a 
                 0f1b283d49576cae 
               
               
                 0f1b29345c687ade 
                 0f1b29374a568dce 
                 0f1b29384e567dac 
                 0f1b293c45678ade 
               
               
                 0f1b2c37456a8e9d 
                 0f1b2c374d5968ae 
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                 0f1b2e34576c8a9d 
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                 0f1c2349576a8ebd 
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                 0f1c24356d798eab 
                 0f1c2437596b8ade 
                 0f1c243a5b678e9d 
                 0f1c243d586b7e9a 
               
               
                 0f1c26345e7a8d9b 
                 0f1c26384d5e79ab 
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                 0f1c263a49587dbe 
               
               
                 0f1c27345b6a89de 
                 0f1c273b465e8a9d 
                 0f1c273b49586dae 
                 0f1c273d4e5689ab 
               
               
                 0f1c28354e6d7a9b 
                 0f1c283a4e576b9d 
                 0f1c283b456a79de 
                 0f1c283d4a5679be 
               
               
                 0f1c2934576b8dae 
                 0f1c2935467d8abe 
                 0f1c29354a687ebd 
                 0f1c29384d5b67ae 
               
               
                 0f1c2b37456d89ae 
                 0f1c2b374a5e689d 
                 0f1c2b3846597ade 
                 0f1c2b3d46578e9a 
               
               
                 0f1c2e345b687d9a 
                 0f1c2e374d568a9b 
                 0f1c2e3849567abd 
                 0f1c2e3b45678d9a 
               
               
                 0f1d2345697c8eab 
                 0f1d2346597a8bce 
                 0f1d234b5a678e9c 
                 0f1d234c586e7a9b 
               
               
                 0f1d2439567b8eac 
                 0f1d243b59678cae 
                 0f1d243c586e7b9a 
                 0f1d243e596c78ab 
               
               
                 0f1d26345a7b89ce 
                 0f1d26374a5e8b9c 
                 0f1d26394a587cbe 
                 0f1d263e4c5789ab 
               
               
                 0f1d27345e6b8c9a 
                 0f1d27354b6e89ac 
                 0f1d27394b586cae 
                 0f1d273c485e69ab 
               
               
                 0f1d28354a697bce 
                 0f1d283b4c5769ae 
                 0f1d283e456b7c9a 
                 0f1d283e4b567a9c 
               
               
                 0f1d2934567a8cbe 
                 0f1d2937456c8bae 
                 0f1d293b456e78ac 
                 0f1d293c485a67be 
               
               
                 0f1d2a35467c89be 
                 0f1d2a3748596bce 
                 0f1d2a374c568e9b 
                 0f1d2a3b465e789c 
               
               
                 0f1d2e345a6c789b 
                 0f1d2e354a678c9b 
                 0f1d2e3948576bac 
                 0f1d2e3c46578b9a 
               
               
                 0f1e23456a798bcd 
                 0f1e23465a7c8d9b 
                 0f1e234b57698dac 
                 0f1e234c5d6879ab 
               
               
                 0f1e2435697b8acd 
                 0f1e24375b6d8c9a 
                 0f1e243a56798cbd 
                 0f1e243d5c6978ab 
               
               
                 0f1e26374b5d8a9c 
                 0f1e2638495a7bcd 
                 0f1e2639457c8abd 
                 0f1e263d49578cab 
               
               
                 0f1e2735496d8bac 
                 0f1e2739485b6acd 
                 0f1e27394c568dab 
                 0f1e273a465c8b9d 
               
               
                 0f1e2a34567b8d9c 
                 0f1e2a3549687cbd 
                 0f1e2a374b5c689d 
                 0f1e2a3d485b679c 
               
               
                 0f1e2b34576a8c9d 
                 0f1e2b384c5a679d 
                 0f1e2b39456d78ac 
                 0f1e2b3a465d789c 
               
               
                 0f1e2c345d687b9a 
                 0f1e2c37485a6d9b 
                 0f1e2c3a485769bd 
                 0f1e2c3d45678b9a 
               
               
                 0f1e2d345c6a789b 
                 0f1e2d354c678a9b 
                 0f1e2d38465b7c9a 
                 0f1e2d384b5679ac 
               
               
                   
               
             
          
         
       
     
         [0044]    We call the set of matrices defined above R. A generator matrix G, of dimension  5  by 16, defines a code that has 32 codewords. Each codeword is a vector of length 16. Note the same set of codewords can be generated by any basis of these 32 vectors. An embodiment includes all such generator matrices G′ with the property that the codewords generated by G′ are identical to the codewords generated by another matrix G where G is in R. 
         [0045]    The modulated QPSK symbols from  FIG. 5  are used in flash assignment as the non-zero modulation symbols in a given resource. Tone assignment module  405  in  FIG. 4  determines which tone-symbols are the non-zero symbols. 
         [0046]    In some embodiments, flash symbols are applied to sectorized cell deployment where each cell includes 3 sectors. In the embodiment, the available resource for the flash tcch channel is a segment of 15×7 tone-symbols, structured as 15 tones with time duration of 7 OFDM symbols. The tone-symbols are indexed in the following way: let t denote the OFDM-symbol index  0 , . . . ,  6 , and let f denote the tone index  0 , . . . ,  14 . Then a tone-symbol of pair (f, t) is indexed as t*15+f. This index is illustrated in  FIG. 5 . In a sectorized deployment, each sector only uses a subset of the tone-symbols for the flash signaling. In one embodiment each sector uses 32 distinct tone-symbols. The total 96 tone-symbols for 3 sectors are all distinct. The remaining 9 tone-symbols are to be used for pilot swapping. 
         [0047]    The mapping of the available resource to three different sector types can be made in many ways. Any selection of 96 symbols out of the 105 tone symbols and mapping them into 3 different groups is possible in one embodiment. So there are totally 
         [0000]    
       
         
           
             
               
                 ( 
                 
                   
                     
                       105 
                     
                   
                   
                     
                       96 
                     
                   
                 
                 ) 
               
               × 
               
                 ( 
                 
                   
                     
                       96 
                     
                   
                   
                     
                       32 
                     
                   
                 
                 ) 
               
               × 
               
                 ( 
                 
                   
                     
                       64 
                     
                   
                   
                     
                       32 
                     
                   
                 
                 ) 
               
             
             = 
             M 
           
         
       
     
         [0000]    different mappings, where 
         [0000]    
       
         
           
               
             
               ( 
               
                 
                   
                     N 
                   
                 
                 
                   
                     k 
                   
                 
               
               ) 
             
           
         
       
     
         [0000]    for any integers N and k is referred to as “N choose k” and is defined as the number of ways of choosing k distinct objects from among N distinct objects. In 
         [0000]    
       
         
           
             
               ( 
               
                 
                   
                     N 
                   
                 
                 
                   
                     k 
                   
                 
               
               ) 
             
             = 
             
               
                 N 
                 ! 
               
               / 
               
                 
                   ( 
                   
                     
                       
                         ( 
                         
                           N 
                           - 
                           k 
                         
                         ) 
                       
                       ! 
                     
                     * 
                     
                       k 
                       ! 
                     
                   
                   ) 
                 
                 . 
               
             
           
         
       
     
       Thus, for example, 
       [0048]    
       
         
           
             
               ( 
               
                 
                   
                     105 
                   
                 
                 
                   
                     96 
                   
                 
               
               ) 
             
             = 
             
               
                 105 
                 ! 
               
               / 
               
                 
                   ( 
                   
                     
                       
                         ( 
                         
                           105 
                           - 
                           96 
                         
                         ) 
                       
                       ! 
                     
                     * 
                     
                       96 
                       ! 
                     
                   
                   ) 
                 
                 . 
               
             
           
         
       
     
         [0000]      FIG. 7  shows one exemplary mapping. Illustration  700  describes the division of the dedicated tone-symbol resource among three sectors. Illustration  700  further describes the exact selection of the subgroup of non-zero tone-symbols given the two information bits. 
         [0049]    In illustration  700 , tone symbols  0 ,  1 ,  2 ,  3 ,  15 ,  16 ,  17 ,  18 ,  30 ,  31 ,  32 ,  33 ,  45 ,  46 ,  47 ,  48 ,  60 ,  61 ,  62 ,  63 ,  75 ,  76 ,  77 ,  78 ,  90 ,  91 ,  92  and  93 , represented by format  704 A, combined with tone symbols  12 ,  27 ,  42  and  57 , represented by format  704 B are to be used for sector type  0 ; tone symbols  4 ,  5 ,  6 ,  7 ,  19 ,  20 ,  21 ,  22 ,  34 ,  35 ,  36 ,  37 ,  49 ,  50 ,  51 ,  52 ,  64 ,  65 ,  66 ,  67 ,  79 ,  80 ,  81 ,  82 ,  94 ,  95 ,  96  and  97 , represented by format  706 A combined with tone symbols  13 ,  28 ,  43  and  58 , represented by format  704 B, are to be used for sector type  1 ; tone symbols  8 ,  9 ,  10 ,  11 ,  23 ,  24 ,  25 ,  26 ,  38 ,  39 ,  40 ,  41 ,  53 ,  54 ,  55 ,  56 ,  68 ,  69 ,  70 ,  71 ,  83 ,  84 ,  85 ,  86 ,  98 ,  99 ,  100  and  101 , represented by format  708 A, combined with tone symbols  14 ,  29 ,  44  and  59 , represented by format  708 B, are to be used for sector type  2 . Tone symbols  72 ,  73 ,  74 ,  87 ,  88 ,  89 ,  102 ,  103 ,  104 , represented by format  718 , are reserved as substitute tone-symbols that are used as symbols for pilot swapping. In illustration  700  tone symbols of format  704 A are separated vertically from tone symbols of format  706 A. The separation is just for illustration purposes to illustrate that tone symbols  704 A and  704 B are used for a first sector type, tone symbols  706 A and  706 B are used for a second sector type and tone symbols  708 A and  708 B are used for a third sector type. In fact, the tones in format  704 A are contiguous with the tones of format  706 A. Similarly, all of the blank spacing between tones in illustration  700  is merely to indicate different uses. The tones are contiguous in frequency and the tone symbols are contiguous in time. 
         [0050]    In illustration  700 , format  701  indicates the non-zero symbols to be used if the 2 information bits are (0,0); format  702  indicates the non-zero symbols to be used if the 2 information bits are (0,1); format  703  indicates the non-zero symbols to be used if the 2 information bits are (1,0); and finally format  705  indicates the non-zero symbols to be used if the 2 information bits are (1,1). 
         [0051]    Given a sector type, information bits determine which tone symbols to be used as non-zero tone-symbols and in what phase and amplitude. In some embodiments, there are seven information bits, denoted as b 6 , b 5 , b 4 , b 3 , b 2 , b 1  and b 0 . These information bits are partitioned into two groups of bits. The first group determines the positions of non-zero modulation-symbols. Information bits in the first group are called position information bits. The second group determines the modulation symbols to be used. Information bits in the second group are called modulation symbol information bits. As described before, encoding and mapping module  404  uses the second group of information bits to determine the QPSK symbols. Tone assignment module  405  uses the first group of information bits to determine the tone positions of the non-zero tone symbols. In some embodiments, there are 7 information bits. Two out of the 7 bits, e.g. b 6 , b 5 , determine the position among 8 non-zero modulation symbols. The remaining 5 bits, e.g., b 4  . . . b 0 , determine the actual modulation symbol used on the 8 non-zero modulation symbols. 
         [0052]      FIG. 8  illustrates the non-zero modulation-symbol selection process. Tone assignment module  800  selects the final tone-symbols x 7 , x 6 , . . . , x 0 , based on the 2 information bits  812  and sector type information  808 . The selection procedure comprises two steps. In step  1 , Position module  802  determines 8 tentative positions using the following rule: given a sector type, the module selects the 8 positions corresponding to information bits b 6 , b 5 , specified by the table values in  FIG. 700 . The table values are stored, e.g. in a memory  806 . For example, assuming the sector type is 0, and information bits [b 6   b   5 ]=[ 00 ], then the non-zero symbols to be used are indexed as  0 ,  15 ,  30 ,  45 ,  60 ,  75 ,  90 , and  12 . 
         [0053]    The tone-symbols selected by module  802  are tentative. The final choice of x 7 , . . . , x 0  depends on whether the 8 tentative tone-symbols are already occupied by other high priority overlain tone symbols, e.g., pilot symbols and sector null symbols used in the downlink transmission. If none of the tentative tone-symbols are occupied by those high priority overlain symbols, then the final tone-symbols are the same as the tentative ones. Otherwise, the following pilot replacement operation should be performed to determine the replacement tone-symbol for each tentative tone-symbol that is occupied by the pilot or the sector null. Pilot-swap-module  804  performs the pilot swapping procedure. 
         [0054]    As mentioned above, there is totally a set of 9 reserved tone symbols, also known as pilot replacement tone-symbols, in the dedicated tone-symbols resource. These 9 replacement tone-symbols are shared by all three sectors. For each tone-symbol that needs to be replaced or swapped, we find the corresponding replacement tone-symbol. For convenience, we can assume we do tone-symbol swapping to the tentative 8 tone-symbols one by one following the increasing order of tone-symbol index in each of the sectors; then we only need to specify the order of replacement tone-symbols to be used. Again, this ordering can be made in many ways. In fact, all the (9!)̂3 distinct orderings are possible. An exemplary ordering for the three sectors are: 
         [0000]    sector  0  has ordering 
       A 0 = 72 , A 1 = 87 , A 2 = 102 , B 2 = 103 , C 2 = 104 , B 1 = 88 , C 1 = 89 , B 0 = 73 , C 0 = 74 ; 
       [0055]    sector  1  has ordering 
       B 0 = 73 , B 1 = 88 , B 2 = 103 , C 2 = 104 , A 2 = 102 , C 1 = 89 , A 1 = 87 , C 0 = 74 , A 0 = 72 ; 
       [0056]    and sector  2  has ordering 
       C 0 = 74 , C 1 = 89 , C 2 = 104 , A 2 = 102 , B 2 = 103 , A 1 = 87 , B 1 = 88 , A 0 = 72 , B 0 = 73 . 
       [0057]    Since the number of pilot hits in a given sector is (pseudo)random it is sometimes possible that the same swap tone is used for transmission by two or three sectors simultaneously thus creating a collision. Ordering the tones the way described above minimizes the probability of collisions between sectors. 
         [0058]    The replacement rule is as follows. For a given sector type, the base-station sector checks, in the order indicated in the “original tone-symbols”, whether each of the original tone-symbols is to be occupied by either the pilot or the sector null pilot channel. If so, the base-station sector examines the list of candidate replacement tone-symbols in the order indicated in the “replacement tone-symbols”. If a replacement tone-symbol is found, which has not previously been used as a replacement in the current segment, and which is not itself occupied by pilot or sector null channel, then the replacement tone-symbol is used as the replacement for that original tone-symbol. If no replacement tone-symbol is found, then the original tone-symbol has said to have no replacement in the segment. 
         [0059]    The final choice of x 7 , . . . , x 0  is set to the original tentative tone-symbol, if it is not to be occupied by either the pilot or the sector null channel. Otherwise, if a replacement is found for that original tentative tone-symbol, then the final choice is set to the replacement tone-symbol; if no replacement is found, then the corresponding modulation-symbol is silently discarded and is not transmitted. In that case the present flash segment has less than 8 tone-symbols that are mapped with nonzero modulation-symbols. 
         [0060]    The following example illustrates the above replacement rule. Suppose sector type is zero. Suppose that b 6 =0, b 5 =1. From  FIG. 7 , the tentative choice is x 7 =2, x 6 =16, x 5 =27, x 4 =31, x 3 =46, x 2 =61, x 1 =76, x 0 =91. Now suppose that in the flash segment, the following tone-symbols are to be occupied by either the pilot or sector null channel:  0 ,  16 ,  42 ,  4 ,  5 ,  14 ,  29 ,  87 , and  89 . From the replacement rule, the BSS only needs to find replacements for  0 ,  16 , and  42 . The base-station-sector does not need to find replacements for  4 ,  5 ,  14 ,  29 ,  87 ,  89 , since those tone-symbols are not in the “original tone-symbols” column for sector-type=0. Moreover, tone-symbols  87 ,  89 , which are two tone-symbols in the “replacement tone-symbols” column, cannot be used as replacement, since they themselves are occupied by either the pilot or sector null channel. Therefore, the replacement rule defines the following replacements:  72  for  0 ,  102  for  16 ,  103  for  42 . Hence, the final choice is x 7 =2, x 6 =102, x 5 =27, x 4 =31, x 3 =46, x 2 =61, x 1 =76, x 0 =91. 
         [0061]      FIG. 9  is a flow chart illustrating a method of communicating overhead signals in a wireless communication system. Not all of the steps described are required. Further the steps may be performed in a different order from that shown. In step  902 , information bits are divided into modulation symbol information bits (also known as modulation symbol bits) and position information bits (also known as position bits). The modulation symbol bits may be the vector u (also, k bits) shown with respect to  FIG. 4 . The position bits may be the 2 bits shown as an input to tone assignment module  405  in  FIG. 4 . Returning to  FIG. 9 , in step  904 , modulation symbols are identified based on the modulation symbol bits. The identifying may be performed by encoding and mapping module  404  of  FIG. 4 , which is described in further detail with respect to  FIG. 5 . 
         [0062]    In step  906 , a subset of tone symbols is determined based on the position bits. The determining of step  906  may be performed by tone assignment module of  FIG. 4 , which is described in further detail with respect to  FIG. 8 . In step  908 , the modulation symbols are modulated to the subset of tone symbols. The modulation may be performed by mapping module  502 , described with respect to  FIG. 5 . 
         [0063]    In step  910 , it is determined whether any of the tone symbols selected by step  906  are reserved substitute tone symbols for use by higher priority channels. The higher priority channels could be pilot channels or sector null channels, for example. As shown with respect to pilot swap module  804  in  FIG. 8 , step  910  may be performed by pilot swap module  804  before step  908 . 
         [0064]    In step  912 , a predetermined set of substitute tone symbols is searched. The predetermined set may be tone set  718 , as shown with respect to  FIG. 7 . The search may be performed as described above with respect to  FIG. 8 . In step  914 , the symbols are transmitted. The transmitting may be performed by transmitter module  334  and antenna  338 , as described with respect to  FIG. 3 . 
         [0065]    Messages described in the present patent application are stored in the memory of the nodes which generate and/or receive said messages in addition to the nodes through which said messages are communicated. Accordingly, in addition to being directed to methods and apparatus for generating, transmitting and using messages embodiments described herein are also directed to machine readable media, e.g., memory, which stores one or more of the messages of the type described and shown in the text and figures of the present application. 
         [0066]    In various embodiments nodes described herein are implemented using one or more modules to perform the steps corresponding to one or more methods, for example, signal processing, message generation and/or transmission steps. Thus, in some embodiments various features are implemented using modules. Such modules may be implemented using software, hardware or a combination of software and hardware. Many of the above described methods or method steps can be implemented using machine executable instructions, such as software, included in a machine readable medium such as a memory device, e.g., RAM, floppy disk, etc. to control a machine, e.g., general purpose computer with or without additional hardware, to implement all or portions of the above described methods, e.g., in one or more nodes. Accordingly, among other things, an aspect is directed to a machine-readable medium including machine executable instructions for causing a machine, e.g., processor and associated hardware, to perform one or more of the steps of the above-described method(s). 
         [0067]    Numerous additional variations on the methods and apparatus described above will be apparent to those skilled in the art in view of the above description. Such variations are to be considered within the scope of aspects of some embodiments. The methods and apparatus may be, and in various embodiments are, used with CDMA, orthogonal frequency division multiplexing (OFDM), or various other types of communications techniques which may be used to provide wireless communications links between access nodes and mobile nodes. In some embodiments the access nodes are implemented as base stations which establish communications links with mobile nodes using OFDM and/or CDMA. In various embodiments the mobile nodes are implemented as notebook computers, personal data assistants (PDAs), or other portable devices including receiver/transmitter circuits and logic and/or routines, for implementing the methods of some embodiments.