基于特征值能量的压缩采样信号检测方法

Detection Algorithm for Compressive Sampling Signal Using Eigenvalues Energy

  • 摘要: 压缩采样能够较好地保持稀疏信号的结构和信息,可以在不重构原信号的条件下,直接处理采样数据完成信号检测。本文针对压缩采样信号的盲检测问题,提出一种基于特征值能量的检测算法。该算法对循环频率等于零时的循环自相关矩阵进行分析并实现重构,进而利用分解得到的特征值构造检测统计量,通过研究检测统计量的分布情况确定检测门限,最终实现检测判决。实验结果表明,在相同条件下,该算法具有更好的检测性能和相对低的复杂度。

     

    Abstract: According to the Nyquist sampling theorem, sampling rate should not be less than twice the Nyquist sampling rate in order to avoid signal distortion. However, with the increasing use of bandwidth, highspeed sampling rate is beyond the current technology level. Since compressive sampling can effectively maintain the structures and information of sparse signal, detection can be accomplished by directly processing samples without reconstructing the original signal. For the blind detection of compressive sampled signal, an algorithm based on eigenvalues energy was proposed. In this paper, cyclic autocorrelation matrix was firstly analyzed and reconstructed on the condition that cyclic frequency equals zero. After that, detection statistics was structured on the basis of eigenvalue decomposition. With the threshold acquired by analyzing the distribution of detection statistics, detection was finally implemented. Simulation results show that the proposed algorithm has the advantage of better detection performance and lower complexity over current algorithms in same cases.

     

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