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针对宽带信号的波达方向(DOA)估计问题,在稀疏框架下提出一种近似l_0范数约束的宽带信号DOA估计新算法。首先对宽带信号进行预处理,得到同一参考频率点下的接收数据,然后对其协方差矩阵元素进行加和平均运算,得到一个低维的观测向量,并在稀疏框架下进行稀疏表示,最后利用截断l_1函数设定权值,构造逼近l_0范数约束的稀疏重构方法,进而重构信号,获得宽带信号的DOA估计。仿真结果表明,相比于传统的宽带信号DOA估计算法,所提算法具有更高的分辨率和估计精度。
Aiming at the DOA estimation problem of wideband signal, a new DOA estimation algorithm for wideband signals with approximate l_0 norm constraints is proposed in sparse framework. Firstly, the wideband signal is preprocessed to obtain the received data at the same reference frequency point, and then the covariance matrix elements are summed and averaged to obtain a low-dimensional observation vector which is sparsely expressed in a sparse framework. Finally, Truncate l_1 function to set the weights and construct a sparse reconstruction method approximating the l_0 norm constraint, and then reconstruct the signal to get the DOA estimation of the wideband signal. The simulation results show that compared with the traditional DOA estimation algorithm for wideband signal, the proposed algorithm has higher resolution and accuracy.