基于联合稀疏矩阵恢复的DOA估计算法

    DOA Estimation Method Based on Jointly Sparse Matrix Recovering

    • 摘要: 基于联合稀疏矩阵恢复的思想,提出一种新的窄带信号DOA 估计算法。算法通过对计算得到的各帧阵列协方差矩阵进行矢量化操作,构造伪数据矩阵;然后构建过完备的阵列方向矩阵字典,形成联合稀疏信号模型;接着利用联合l2,0 逼近法求出联合稀疏矩阵的优化解,由此得到信号DOA 的估计值。由于二阶统计量的矢量化操作扩展了阵列孔径,算法能够分辨多于阵元数的信号,同时适用于窄带短时平稳或平稳信号,且不需要预先估计信号源数。计算机仿真结果证明了算法的有效性。

       

      Abstract: Based on the idea of jointly sparse matrix recovering, a new DOA estimation method for narrowband signals is proposed in this paper. By applying vectorization on the computed array covariance matrix in each frame, a pseudo data matrix is formed. Then, the jointly sparse signal model is generated by constructing the over determinate dictionary of array direction matrix. Afterwards, the optimal solution to the jointly sparse matrix is solved by using joint l2,0 approximation approach, and the DOA estimation is obtained accordingly. Since the vecorization operation extends the array aperture, the proposed method can resolve more signals than the number of arrays, be suitable to the short stationary or stationary narrow band signals, and need not estimate the number of signals in advance. Simulation results validate the effectiveness of the proposed method.

       

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