利用FastICA和三阶相关函数的多天线辅助NPLC-DS-CDMA扩频码盲估计

Blind estimation of spreading codes for multi-antenna NPLC-DS-CDMA signals based on FastICA and third order correlation function

  • 摘要: 针对非周期长码直扩CDMA信号(NPLC-DS-CDMA)扩频码盲估计问题,首先利用多天线接收信号,并将接收信号构建成矩阵形式;其次对接收信号矩阵进行奇异值分解,对左奇异值向量利用FastICA方法估计每个用户扩频信号矩阵;然后将每个用户的扩频信号移位相乘,去除信息码,得到移位序列,计算该序列三阶相关函数(TCF),通过比较在理论TCF峰值坐标点及其共轭系坐标点上的TCF估计值和理论值的距离排除大量伪峰值点,筛选得到正确的TCF峰值点;最后利用矩阵斜消法得到扩频码本原多项式。仿真结果验证了本文算法对NPLC-DS-CDMA扩频码盲估计的有效性。

     

    Abstract: Aiming at the problem of the spreading codes blind estimation of the non-periodic long code direct-spreading CDMA signals(NPLC-DS-CDMA), firstly, the signals were received by the multi-antennas and the signals were constructed to matrix. Secondly, the singular value decomposition was performed on the received signal matrix, and the spread spectrum signal matrix of each user was estimated by FastICA algorithm from the extended singular value vector. Thirdly, the spread spectrum signal of each user was shifted and multiplied in order to remove the information codes, and then the shift sequences were obtained. Fourthly, the third order correlation function (TCF) of the sequence was calculated, and the correct TCF peaks were obtained by comparing the distance between the TCF’s estimate and the theoretical value at the coordinate point and its conjugate coordinate points. Finally, the primitive polynomial of the spreading code was obtained by using the matrix oblique elimination method. The simulation results verify the effectiveness of the proposed algorithm for the blind estimation of NPLC-DS-CDMA spread spectrum code.

     

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