BER Analysis of Quasi-Orthogonal Codes in Quasi-Synchronous CDMA Communication

S. Jos, P. Kumar, S. Chakrabarti
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Abstract

Code division multiple access (CDMA) schemes and combination of CDMA with OFDM have been considered as attractive multiple access schemes in the second-generation (2G), third-generation (3G) and future broadband wireless systems. In this paper, we studied the performance of DS-CDMA signals with quasi-orthogonal codes namely balanced gold codes and m-sequences in presence of timing synchronization error. The synchronization error considered is smaller than the chip duration. We evaluate the maximum synchronization error that can be tolerated so that complete error-free despreading is guaranteed for the two quasi-orthogonal codes in the absence of additive white Gaussian noise and channel impairments. This provides insight in the synchronization demands for QS-CDMA systems. Also system capacity (the total bit rate which can be transmitted) subject to this synchronization error has been calculated for the two codes. It has been found that m-sequence provide maximum tolerable synchronization error and system capacity as compared to balanced gold code. We have also presented the BER analysis for QS-CDMA. The BER performance of the two quasi-orthogonal sequences at different values of synchronization error is also studied. Monte-Carlo simulations have been carried out to verify analysis with the simulation results.
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准同步CDMA通信中准正交码的误码率分析
码分多址(CDMA)方案和码分多址与OFDM的结合已被认为是第二代(2G)、第三代(3G)和未来宽带无线系统中具有吸引力的多址方案。本文研究了含准正交码即平衡金码和m序列的DS-CDMA信号在存在定时同步误差时的性能。考虑的同步误差小于芯片持续时间。我们评估了在没有加性高斯白噪声和信道损伤的情况下,两个准正交码可以容忍的最大同步误差,从而保证完全无差错扩频。这为QS-CDMA系统的同步需求提供了见解。此外,还计算了受此同步错误影响的系统容量(可传输的总比特率)。与平衡金码相比,m序列提供了最大的可容忍同步误差和系统容量。我们还介绍了QS-CDMA的误码率分析。研究了两种拟正交序列在不同同步误差值下的误码率性能。通过蒙特卡罗仿真验证了分析结果。
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