解析恒模算法性能分析

    Performance Analysis of Analytical Constant Modulus Algorithm

    • 摘要: 从盲信号分离角度简要介绍了解析恒模算法,该算法以解析的方法一次计算出整个波束形成器的集合,而不是靠迭代法搜索定义的恒模代价函数的极值点来逐一恢复其中的恒模信号,这是它与迭代型恒模算法最大的不同。其特点给该算法带来很多优点,最重要的一点是能在强干扰下恢复小功率信号,受信号功率差异影响极小。文中的理论推导通过计算机仿真验证了在高斯白噪声环境下,当样本数趋于无穷时,该算法收敛至维纳解;最后用实际外场采集的数据对该算法进行了测试分析,验证了其突出的信号分离能力。

       

      Abstract: From the point of view of blind signal separation,this paper introduces briefly analytical constant modulus algorithm(ACMA).By means of analytical method,it computes the complete set of beamformers all at once,which is its significant difference from other iterative CMAs that search for the extremum of cost function and by means of iterative methods,to recover the constant modulus signals one by one.This feature presents many other advantages.What's important is that it can recover all CM signals without the influence of signal power difference.In this paper,with theoretical demonstration and computer simulation,we validate the asymptotic properties of ACMA.In Gaussian noise,it converges to the Wiener beamformer when the number of samples increases to infinity.Meanwhile,we utilize practical field data to test and analyse its performance of signal separation,and validate its perfect ability of signal separation.

       

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