张量切片稀疏表示在宽带信号波达方向估计中的应用

The Application of SliceSparse Representation of Tensor in DirectionofArrival Estimation for Wideband Sources

  • 摘要: 本文提出了一种新颖的宽带信号波达方向(DirectionofArrival, DOA)估计方法。首先,本文利用窄带滤波器将阵元接收到的宽带信号分解成了若干窄带分量。接着,利用这些分离出来的窄带分量,计算出任意两个相邻阵元间的一系列频率互相关函数(Frequency Crosscorrelations, FCCS)并用于构造一个Toeplitz矩阵。在所有相邻阵元间进行相同的处理,将构造出的所有Toeplitz矩阵堆叠成一个张量。最后,本文利用切片稀疏表示(Slicesparse Representation, SSR)的思想实现该张量的稀疏表示并提出了相应的恢复算法实现其稀疏重构,宽带信号DOA估计也随之实现。在仿真中,本文将所提算法与现有代表性算法进行了对比,仿真结果展现了本文算法的有效性。

     

    Abstract: In this paper, a novel directionofarrival (DOA) method for wideband sources is proposed. First, the received wideband sources are decomposed into several narrowband components by using the narrowband filter. Second, a series of frequency crosscorrelations (FCCS) between adjacent sensors can be calculated by exploiting the decomposed narrowband components. A Toeplitz matrix can be constructed by these FCCS. Perform the same step on all adjacent sensors. A tensor can then be obtained by stacking all constructed Toeplitz matrices. At last, we use the ideal of slicesparse representation (SSR) to sparsely represent this tensor. The corresponding method is also proposed to achieve the sparse reconstitution of this tensor. The DOA estimation of wideband sources is then achieved. In simulation, the proposed method is compared with the conditional methods, and the results show the effectiveness of the proposed method.

     

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