Abstract:
This invention publishes a spread spectrum multiple access coding technique applied in any wireless digital telecommunication system involving Code Division Multiple Access and spread spectrum technique. The group of basic pulses has normalized amplitudes and duration of 1 and polarity; the number of basic pulses is ascertained by practical factors; there is no equal interval between basic pulses on time axis, and asymmetry of pulses&#39; positions is employed to achieve arranging coding. This coding scheme can control and minimize the side lobes of auto-correlation and cross-correlation functions, then simplify the design of a CDMA system, so a wireless digital telecommunication system with large capacity can be established effectively to solve the contradiction between ever increasing demand for telecommunication capacity and limited frequency resources.

Description:
This application is a continuation of PCT/CN98/00151 filed Aug. 4, 1998. 
    
    
     FIELD OF THE INVENTION 
     The invention relates to a spread spectrum and digital multiple access wireless communications scheme, especially to a spread spectrum multiple access coding scheme applied in any digital communications system employing code division multiple access (“CDMA”) and spread spectrum radio. 
     BACKGROUND OF THE INVENTION 
     With the coming of the information society and the personal communications era, the demand on wireless communications technology is growing rapidly, but the frequency resources are very limited. A code division multiple access (“CDMA”) technique is the only efficient way to resolve the contradiction between limited frequency resources and demand for high capacity. The capacity of traditional wireless multiple access techniques, e.g., frequency division multiple access (“FDMA”) and time division multiple access (“TDMA”), is fixed once designed, i.e., additional users can not be introduced beyond that capacity limit. But CDMA is different in that the capacity is only limited by the interference level and thus results in the advantages of large capacity and soft capacity. That is, introducing an additional user is not precluded even though it may lead to reduced signal-to-noise ratio and quality of communications. So, unlike FDMA or TDMA, an insurmountable capacity limit does not exist. 
     As is noted above, the capacity of a CDMA system is interference-limited, thus, whether the interference level can be controlled or not determines the system&#39;s quality. Generally, the interference in the system consists of four parts: the first is local noise, which may be reduced by applying a low noise amplifier; the second is multiple access interference (“MAI”), which comes from the other users in the system; the third is inter-code or inter-symbol interference (“ISI”); and the fourth is neighboring cell or adjacent channel interference (“ACI”). By employing well-designed multiple access codes, MAI, ISI and ACI can be reduced or even eliminated. 
     In any CDMA system, each user has a specific spread spectrum multiple access code for identification. Furthermore, to reduce the users&#39; mutual interference, the spread spectrum multiple access codes must be orthogonal to each other. Indeed, orthogonality between any two users&#39; signals is always required in any multiple access system. Given that the channel is an ideal linear time-invariant system, and accurate synchronization is realized in the system, then orthogonality between any two users&#39; signals can be achieved. Unfortunately, there is no such ideal channel in practice. Besides, it is quite difficult to maintain strict synchronization. That is why it is important to employ a good multiple access technique. As for a CDMA technique, well designed multiple access codes are the root of the system. 
     It is known that the wireless channel is a typical random time-varying channel, in which there exists not only random frequency dispersion (Doppler frequency shift) but also random time dispersion (multi-path propagation). The former introduces time selective fading to the received signals, i.e., the received signal&#39;s frequency varies randomly with time. The latter introduces frequency selective fading to the received signals, i.e. different frequency spectrum components of the received signal vary differently with time. The fading deteriorates the system&#39;s performance seriously and at the same time, reduces the system&#39;s capacity. This is especially true for the channel&#39;s time dispersion, which is caused by multi-path propagation: it prevents signals from arriving simultaneously, so ISI and MAI are caused and the system&#39;s capacity is drastically reduced. When the relative time delay between signals is zero, it is quite easy to achieve orthogonality between signals, indeed any orthogonal codes can meet that requirement, but when the relative delay between signals is non-zero, it becomes very difficult to do so. In fact, it has been proven that there are no such spread spectrum multiple access codes in binary, finite and even complex number spaces. In particular, MAI and ISI contradict one another so that smaller MAI leads to larger ISI and vice versa. 
     Therefore, the distinction between different CDMA systems lies mainly in the selected multiple access codes, i.e. in a good system, ISI and MAI must both be small, otherwise they must be larger. 
     Existing CDMA systems have either very low efficiency or have very short communications distance for example about several hundred meters or do nothing to MAI and ISI and then all that can be done is to alleviate them by using relatively good multiple access codes. 
     SUMMARY OF THE INVENTION 
     The aim of the invention is to present a new, simpler, clearer and faster design scheme of spread spectrum multiple access codes. Based on the scheme, both MAI and ISI in the corresponding CDMA system can be controlled and thus a digital wireless communications system with large capacity can be constructed. 
     Ideal spread spectrum multiple access codes should satisfy the two main conditions below: 
     First, each code&#39;s auto-correlation function should be an ideal impulse function, i.e. the function should be zero everywhere except at the origin. From the view of orthogonality, each code should be orthogonal to its own relative time delay version unless the relative time delay is zero; 
     Second, the cross-correlation function between any two codes should be zero everywhere. From the view of orthogonality, each code should be orthogonal to all the other codes with any relative time delay (including the zero delay). 
     To elaborate, we denote the auto-correlation values at the origin as the main-lobe value, while the auto-correlation values not at the origin, as well as the cross-correlation values are denoted as side-lobe values. For an ideal CDMA system, the side-lobe values of all the auto-correlations and cross-correlations should be zero. For a practical system, however, it is impossible to satisfy that condition. In this case, all that can be done is to try to make the values of the side-lobes as small as possible (or the main-lobe to side-lobe value ratio as large as possible) and the number of the side-lobes as few as possible. As for binary codes, the smallest non-zero side-lobe&#39;s value must be +1 or −1. 
     Therefore, in some embodiments of the present invention a spread spectrum multiple access coding scheme controls and reduces the side-lobes&#39; values of the auto-correlations and cross-correlations. 
     In addition, a random access asynchronous communications system in which all the user stations, clocks are not controlled by base station is desirable because of its simplicity. That system, on the other hand, has a very strict requirement on the spread spectrum multiple access codes&#39; characteristic. So, some embodiments of the present invention give an effective and practical method for such a random access asynchronous digital communications system. 
     The spread spectrum multiple access codes mentioned here are composed of basic pulses with normalized “1” amplitude and width and different polarities. The number of the basic pulses is determined according to such practical factors such as the number of required users, the number of available pulse compressing codes, the number of available orthogonal pulse compressing codes, the number of available orthogonal frequencies, system bandwidth, the system&#39;s highest transmission rate, etc. The intervals between the basic pulses on the time axis are all unequal and the basic pulses&#39; positions on it are all different, which are both considered together with the basic pulses&#39; polarities when coding. 
     Of all the values of the basic pulses&#39; intervals mentioned above, only one is an odd number larger than the smallest interval&#39;s value, i.e. the coding length is odd, while the rest intervals&#39; values are all even. Moreover, any interval&#39;s value can not be the sum of any other two or more interval values. 
     According to orthogonality, the spread spectrum multiple access codes mentioned above are sorted into different code groups, in which the polarities of the basic pulses are determined by the orthogonality requirement and the sequence is sorted according to Hadamard or other orthogonal matrices, or some kind of bi-orthogonal or trans-orthogonal matrix. 
     The above coding method is a new CDMA spread spectrum multiple access coding scheme for a Large Area Asynchronous Wireless Communications System or Large Area Synchronous Wireless Communications System, and the code groups are named LA-CDMA codes. When doing correlation, whether it is auto-correlation or cross-correlation, and whether it is periodic correlation, or non-periodic correlation, or even mixed correlation, no two or more basic pulses can meet together besides at the origin, which ensures that the side-lobes&#39; values are at most +1 or −1. Furthermore, there exists a zero correlation window beside the origin and the main-lobe&#39;s value equals the number of basic pulses. Therefore, the side-lobes of the auto-correlations and cross-correlations are controlled and reduced. That is, in the corresponding CDMA system, both MAI and ISI are controlled, and an ideal CDMA system without MAI and ISI can also be realized if the zero correlation window is utilized. 
     The above principles lead to a new simpler, clearer and faster design scheme of spread spectrum multiple access codes for spread spectrum technology and digital multiple access technology. Based on the scheme, a CDMA system&#39;s design can be simplified and large capacity achieved, so as to solve the contradiction between the growing need for high capacity and the limited frequency resources. 
     Because the side-lobes of the correlations are small and smooth, MAI and ISI are unrelated to the users&#39; access time and thus random access is permitted. Further, as long as the stability of the clocks in the user stations&#39; transceivers meets a specific requirement, an asynchronous mode is also permitted. 
     In a practical design, to increase the code&#39;s duty ratio, the above mentioned basic pulse can also be formed by pulse compressing codes, which are composed of one or more binary or m-ary sequences, including frequency modulated sequences, or frequency and phase jointly modulated sequences, or frequency, phase and time jointly modulated sequences, etc. 
     In order to raise the transmission data rate or reduce frequency band-width, or increase the number of multiple access codes number, the codes can also be time offset and overlapped, where the shift interval should be larger than the channel&#39;s maximum time dispersion (the maximum multi-path time delay difference). In the case that the shift interval is smaller than the channel&#39;s maximum time dispersion, the shifted version should be modulated by different orthogonal frequencies. 
     In order to raise the code&#39;s duty ratio and transmission data rate simultaneously as much as possible, both of the above methods can be combined, i. e. the basic pulse is composed of pulse compressing codes (including one or more binary or m-ary sequences, or frequency modulated sequences, or frequency and phase jointly modulated sequences, or frequency, phase and time jointly modulated sequences, etc. ). At the same time, the codes are time offset and overlapped. 
     To further increase the number of multiple access codes, the above mentioned basic pulse can also be formed by orthogonal pulse compressing codes (including one or more binary or m-ary sequences, or frequency modulated sequences, or frequency and phase jointly modulated sequences, or frequency, phase and time jointly modulated sequences, etc), or the above mentioned basic pulses can be modulated by different orthogonal frequencies. 
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 illustrates an example of LA-CDMA code groups (with 16 codes) mentioned in the paper. 
     FIG. 2 is an illustration of the non-periodic auto-correlation function mentioned in the paper (for code 1 in FIG.  1 ). 
     FIG. 3 is an illustration of the non-periodic auto-correlation function mentioned in the paper (for code 2 in FIG.  1 ). 
     FIG. 4 is an illustration of the non-periodic cross-correlation function mentioned in the paper (for code 1 and code 2 in FIG.  1 ). 
     FIG. 5 is an illustration of the non-periodic cross-correlation function mentioned in the paper (for code 3 and code 4 in FIG.  1 ). 
     FIG. 6 shows the LA-CDMA codes formed by the relative coding pulse compressing method mentioned in the paper. 
     FIG. 7 shows the LA-CDMA codes formed by the absolute coding pulse compressing method mentioned in the paper. 
     FIG. 8 shows the time offsetting and overlapping method to raise the code&#39;s duty ratio mentioned in the paper. 
     FIG. 9 shows a diagram of a class of receiver. 
    
    
     DETAILED DESCRIPTION 
     An explanation of the invention with the attached figures is presented below. 
     FIG. 1 is a simple LA-CDMA orthogonal code group including 16 access code words that can be used by 16 users simultaneously. Each code word consists of 16 “±” basic pulses. The period of this code group is 847. The intervals between pulses are respectively: 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 60, 62, 68, 72, 76 and 39. The polrities of the pulses ensure orthogonality between the codes. 
     FIG.  2  and FIG. 3 are non-cyclic auto-correlation curves for code  1  and code  2  in FIG. 1 respectively. Cross-correlation functions between other pairs of codes have quite similar shapes so that side lobes may equal a value chosen from +1, −1 or 0. 
     The correlation functions of any other LA-CDMA codes have quite similar shapes, and the only possible difference lies in polarities and positions of side lobes. The features of this code are described as follows: 
     1) Main lobe value of auto-correlation function equals the number of basic pulses, and also equals the number of orthogonal code words in the code group. 
     2) There are only three possible values of side lobes in the auto-correlation and cross-correlation function: +1, −1 or 0. 
     3) A zero correlation window in the auto-correlation and cross-correlation function or around the origin exists, and its magnitude is equal to 1 plus two times of the minimal interval between basic pulses. 
     So it can be concluded that the LA-CDMA code group tha is designed according to this invention can control and in some embodiments minimize the side lobes of the auto-correlation and cross-correlation function. This enables the CDMA system to control and minimize MAI and ISI simultaneously. 
     Table 1 and Table 2 below respectively list minimum periods of LA-CDMA codes of 16 basic pulses and 32 basic pulses under the conditions of various minimal basic pulse intervals, in order to make it convenient for choosing. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 Periods and minimum intervals 
               
               
                 of 16-pulse LA-CDMA codes 
               
             
          
           
               
                 minimum 
                 minimum 
                 Minimum 
                 minimum 
                 minimum 
                 minimum 
                 minimum 
                 minimum 
               
               
                 interval 
                 period 
                 Interval 
                 period 
                 interval 
                 period 
                 interval 
                 period 
               
               
                   
               
               
                  38 
                  847 
                  40 
                  897 
                  42 
                  905 
                  44 
                  923 
               
               
                  46 
                  959 
                  48 
                  995 
                  50 
                 1065 
                  52 
                 1049 
               
               
                  54 
                 1081 
                  56 
                 1117 
                  58 
                 1145 
                  60 
                 1179 
               
               
                  62 
                 1213 
                  64 
                 1247 
                  66 
                 1269 
                  68 
                 1303 
               
               
                  70 
                 1337 
                  72 
                 1379 
                  74 
                 1395 
                  76 
                 1427 
               
               
                  78 
                 1461 
                  80 
                 1495 
                  82 
                 1529 
                  84 
                 1563 
               
               
                  86 
                 1587 
                  88 
                 1619 
                  90 
                 1653 
                  92 
                 1683 
               
               
                  94 
                 1715 
                  96 
                 1749 
                  98 
                 1783 
                 100 
                 1811 
               
               
                 102 
                 1843 
                 104 
                 1875 
                 106 
                 1907 
                 108 
                 1939 
               
               
                 110 
                 1971 
                 112 
                 2003 
                 114 
                 2035 
                 116 
                 2067 
               
               
                 118 
                 2099 
                 120 
                 2131 
                 122 
                 2163 
                 124 
                 2195 
               
               
                 126 
                 2227 
                 128 
                 2259 
                 130 
                 2291 
                 132 
                 2323 
               
               
                 134 
                 2355 
                 136 
                 2387 
                 138 
                 2419 
                 140 
                 2451 
               
               
                 142 
                 2483 
                 144 
                 2515 
                 146 
                 2547 
                 148 
                 2579 
               
               
                 150 
                 2611 
                 152 
                 2643 
                 154 
                 2675 
                 156 
                 2707 
               
               
                 158 
                 2739 
                 160 
                 2771 
                 162 
                 2803 
                 164 
                 2835 
               
               
                 166 
                 2867 
                 168 
                 2899 
                 170 
                 2931 
                 172 
                 2963 
               
               
                 174 
                 2995 
                 176 
                 3027 
                 178 
                 3059 
                 180 
                 3091 
               
               
                 182 
                 3123 
                 184 
                 3155 
                 186 
                 3187 
                 188 
                 3219 
               
               
                 190 
                 3251 
                 192 
                 3283 
                 194 
                 3315 
                 196 
                 3347 
               
               
                 198 
                 3379 
                 200 
                 3411 
                 202 
                 3443 
                 204 
                 3475 
               
               
                 206 
                 3507 
                 208 
                 3539 
                 210 
                 3571 
                 212 
                 3603 
               
               
                 214 
                 3635 
                 216 
                 3667 
                 218 
                 3699 
                 220 
                 3731 
               
               
                 222 
                 3763 
                 224 
                 3795 
                 226 
                 3827 
                 228 
                 3859 
               
               
                 230 
                 3891 
                 232 
                 3923 
                 234 
                 3955 
                 236 
                 3987 
               
               
                 238 
                 4019 
                 240 
                 4051 
                 242 
                 4083 
                 244 
                 4115 
               
               
                 246 
                 4147 
                 248 
                 4179 
                 250 
                 4211 
                 252 
                 4243 
               
               
                 254 
                 4275 
                 256 
                 4307 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Periods and minimum intervals 
               
               
                 of 32-pulse LA-CDMA codes 
               
             
          
           
               
                 minimum 
                 minimum 
                 minimum 
                 minimum 
                 minimum 
                 minimum 
                 minimum 
                 minimum 
               
               
                 interval 
                 period 
                 interval 
                 period 
                 interval 
                 period 
                 interval 
                 period 
               
               
                   
               
               
                  32 
                 4751 
                  34 
                 4465 
                  36 
                 4447 
                  38 
                 4489 
               
               
                  40 
                 4745 
                  42 
                 4847 
                  44 
                 4889 
                  46 
                 5359 
               
               
                  48 
                 4699 
                  50 
                 5225 
                  52 
                 5125 
                  54 
                 5117 
               
               
                  56 
                 5315 
                  58 
                 4725 
                  60 
                 4687 
                  62 
                 4765 
               
               
                  64 
                 4423 
                  66 
                 5115 
                  68 
                 5059 
                  70 
                 5307 
               
               
                  72 
                 5299 
                  74 
                 5617 
                  76 
                 4955 
                  78 
                 5133 
               
               
                  80 
                 4915 
                  82 
                 5397 
                  84 
                 5499 
                  86 
                 4965 
               
               
                  88 
                 5291 
                  90 
                 5223 
                  92 
                 4837 
                  94 
                 5539 
               
               
                  96 
                 5889 
                  98 
                 5373 
                 100 
                 5319 
                 102 
                 5051 
               
               
                 104 
                 5331 
                 106 
                 5617 
                 108 
                 5991 
                 110 
                 5109 
               
               
                 112 
                 5347 
                 114 
                 5383 
                 116 
                 5127 
                 118 
                 4883 
               
               
                 120 
                 5211 
                 122 
                 5429 
                 124 
                 5737 
                 126 
                 5663 
               
               
                 128 
                 5725 
                 130 
                 5623 
                 132 
                 5725 
                 134 
                 5497 
               
               
                 136 
                 5323 
                 138 
                 5393 
                 140 
                 5465 
                 142 
                 5811 
               
               
                 144 
                 5959 
                 146 
                 5893 
                 148 
                 6331 
                 150 
                 6355 
               
               
                 152 
                 5943 
                 154 
                 6053 
                 156 
                 6075 
                 158 
                 6241 
               
               
                 160 
                 6425 
                 162 
                 6475 
                 164 
                 6267 
                 166 
                 6399 
               
               
                 168 
                 6517 
                 170 
                 6435 
                 172 
                 6491 
                 174 
                 6555 
               
               
                 176 
                 6631 
                 178 
                 6665 
                 180 
                 6751 
                 182 
                 6835 
               
               
                 184 
                 6839 
                 186 
                 6903 
                 188 
                 6971 
                 190 
                 7059 
               
               
                 192 
                 7121 
                 194 
                 7295 
                 196 
                 7521 
                 198 
                 7351 
               
               
                 200 
                 7543 
                 202 
                 7427 
                 204 
                 7521 
                 206 
                 7579 
               
               
                 208 
                 7629 
                 210 
                 7689 
                 212 
                 7739 
                 214 
                 7807 
               
               
                 216 
                 7875 
                 218 
                 7953 
                 220 
                 8031 
                 222 
                 8051 
               
               
                 224 
                 8119 
                 226 
                 8173 
                 228 
                 8239 
                 230 
                 8307 
               
               
                 232 
                 8375 
                 234 
                 8443 
                 236 
                 8499 
                 238 
                 8569 
               
               
                 240 
                 8641 
                 242 
                 8743 
                 244 
                 8747 
                 246 
                 8813 
               
               
                 248 
                 8881 
                 250 
                 8949 
                 252 
                 9011 
                 254 
                 9113 
               
               
                 256 
                 9173 
               
               
                   
               
             
          
         
       
     
     Pulse duty ratio for basic the LA-CDMA code is very low. For example, FIG. 1 shows that pulse duty ratio of a 16 basic pulse code with period of 847 is merely 16/847 (=0. 0189). To increase the duty ratio in a practical design, any pulse compression codes with good performance such as a Barker sequence or linear frequency modulation code are usable to substitute for each single pulse in the basic code. In this way, as long as the received signal passes through a matched filter matched to this pulse compression code in advance, the output is the required LA-CDMA code. Several solutions for increasing pulse duty ratio included in this invention are described below: 
     Forming an LA-CDMA code by a relative encoding pulse compression method is shown in FIG. 6. A positive pulse in the basic LA-CDMA code is generated by two consecutive pulse compression code “B”s with the same polarity, whereas a negative pulse is generated by a positive and a negative pulse compression code “B”. For instance, considering a 16-pulse LA-CDMA code with a period of 847, if a 13-bit Barker sequence is chosen for the pulse compression code, then the duty ratio of the code will rise to 16×26/847 (=0.4911). 
     Forming an LA-CDMA code by an absolute encoding pulse compression method is shown in FIG. 7. A positive pulse in the basic LA-CDMA code is generated by a pulse compression code “B”, whereas a negative pulse is generated by an inverse (i. e. an inverted polarity “B”) of the pulse compression code. For instance, still considering a 16-pulse LA-CDMA code with a period of 847, if a 28-bit pulse compression code is chosen to form a single pulse, then the duty ratio will rise to 16×28/847 (=0.5289); if a 38-bit pulse compression code is chosen to form a single pulse, then the duty ratio will rise to 16×38/847 (=0.7178). 
     Adopting a time-offset overlapped method for increasing the duty ratio is illustrated in FIG. 8, where “a” is the primitive code, “b”, “c”, “d” and “e” are shifted code versions after four shifts respectively, and “a+b+c+d+e” is a time-offset overlapped code. It should be noted that the time-offset value must be greater than the time dispersion range of the channel; otherwise, either adding a partial response equalizer to the receiver in order to reduce time dispersion range of channel, or adopting various orthogonal frequencies for the time-offset versions smaller than the time dispersion range of the channel, should be employed. When synchronization techniques are adopted, it is similar to a TDMA technique in that different shift versions can be used by different users. Therefore, this can increase the number of orthogonal codes greatly. In a random access system, each shifted version of the LA-CDMA code can only be used by one user, but that method can increase the user&#39;s data rate enormously without expanding system bandwidth, or can decrease system bandwidth while retaining a given data rate. 
     Clearly, the time-offset overlapped pulse compression method can also be employed, which is a mixture of method  1  and method  2 , or a mixture of method  2  and method  3 , and further details are not needed. This method can provide the greatest increase in pulse duty ratio and information rate simultaneously (or decrease system bandwidth with data rate unaffected). 
     Sometimes it is inconvenient that the maximum number of users offered by the basic LA-CDMA code is determined only by the quantity of basic pulses, since the more orthogonal codes in the code group, the better. Embodiments of this invention may provide three solutions to enlarge the number of users. 
     The first solution is to adopt orthogonal pulse compression codes. If M pieces of orthogonal pulse compression codes can be found, then MXN orthogonal pulse compression code words can be obtained when there are N pulses in an LA-CDMA code. For example, considering a 16-pulse LA-CDMA code with a period of 847 and choosing a 32-bit orthogonal code as its pulse compression code, as there are 32 orthogonal codes in the 32-bit orthogonal pulse compression code group, there are a total of 16×32 (=512) orthogonal code words. 
     The second solution is to adopt orthogonal frequencies. The simplest implementation is to utilize a general purpose FDMA/CDMA mixed technique. In this way, if M kinds of orthogonal frequencies are employed (in which intervals of frequencies are multiples of 1/T, here T is the duration of a pulse in the LA-CDMA code), then MXN orthogonal code words can be obtained when there are N pulses in the LA-CDMA code. Introducing different orthogonal frequencies to different pulses in the LA-CDMA code, especially when the pulse compression method is employed, the finally acquired code is a compound code of the basic LA-CDMA code and the chosen pulse compression code. According to compound encoding theory, the property of a compound code is mainly determined by the code with worse performance of two elements of the compound code. Thus, when a pulse compression code is chosen poorly, the final properties of the auto-correlation and cross-correlation function will worsen. When every pulse is “isolated” by orthogonal frequencies, the pulse compression code will be “isolated” too, minimizing degradation accordingly and increasing room for choices greatly. For instance, still considering a 16-pulse LA-CDMA code with a period of 847, when 16 orthogonal frequencies are introduced and a 32-bit orthogonal code serves as the pulse compression code, a total of 16×16×32 (=8192) orthogonal code words are obtained. 
     The third solution is to relax the restriction of orthogonality, i. e. to adopt quasi-orthogonality which uses imperfect orthogonal codes, to increase the number of users. For example, considering an LA-CDMA code with N pulses, as the order of N basic intervals has no affect on its auto-correlation and cross-correlation functions, it can be arbitrary. When a code group with various orders of basic intervals is exploited at the same time, the number of users will increase enormously. This can also serve as a solution for reducing interference of adjacent service areas or channels. 
     FIG. 9 is a block diagram of a receiver 10 for a LA-CDMA random access code division multiple access wireless system exploiting one embodiment of this invention. This system adopts 16-pulse LA-CDMA codes and 4 orthogonal frequencies, and can accommodate 64 users signaling simultaneously. The basic structures of a transmitter and a receiver may be readily ascertained once the information basic formula and modulation mode are decided. Of course, detailed implementations may entail some modification according to practical situations. For example, a receiver can be realized either by a matched filter or by a correlator. They both implement correlation operations, and have no distinction essentially. In these cases, a transmitter must generate required modulated waveforms that can be demodulated by computation. Generally, the receiver&#39;s structure is comparatively simple, such that a wireless telecommunication engineer can design it in the light of basic modulated signal waveform. 
     The 16-pulse LA-CDMA code with a period of 847 shown in FIG. 1 is adopted as a multiple access code in this system. Moreover, it utilizes 4 orthogonal frequencies, and each frequency&#39;s interval is the reciprocal of the basic pulse&#39;s duration. A relative coding pulse compression method is employed to generate the basic LA-CDMA code, with modulation performed using binary phase-shift keying (“BPSK”), and with a pulse compression code of a 13-bit Barker sequence, which is 1 1 1 1 1 −1 −1 1 1 −1 1 −1 1. 
     Users are permitted to transmit using random access, and to receive by a matched filter. The figure depicts a receiver&#39;s block diagram for a certain orthogonal frequency. An analog signal from an intermediate frequency amplifier is converted to a digital signal by an analog to digital converter  11 . The system  10  detects a 13-bit Barker sequence using a pulse shape matched filter  12  that includes a 13-bit digital tap delay line  14 , multipliers  16  with a 13-bit stage shift register  15 , a low pass filter  18  and a weak signal rejector or small signal depressor  20 . An 808-bit digital tap delay line  22  and an additional logic circuit  24 , which is another part of the receiver, form a pulse position matched filter  26 . 
     The pulse shape matched filter  26  forms pulses of the basic LA-CDMA code, while the pulse position matched filter implements a match operation on the LA-CDMA code. A pulse position matched filter can implement match operations on 16 orthogonal LA-CDMA code simultaneously. 
     While the present invention has been described with respect to a limited number of embodiments, those skilled in the art will appreciate numerous modifications and variations therefrom. It is intended that the appended claims cover all such modifications and variations as fall within the true spirit and scope of this present invention.