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针对工程应用中存在阵列模型误差的任意形状天线阵列的宽带波达方向(DOA)估计问题,提出一种基于信号分离的相关域宽带松弛(RELAX)算法。此算法利用具有记忆与遗忘特征的矩阵算子的投影机理对入射信号进行有效的分离,因此对一定范围内的阵列模型误差较之基于子空间理论的传统宽带测向算法具有较好的鲁棒性与良好的工程应用前景。分析并证明了此算法的信号分离机理及此算法对阵列模型误差稳健的原理。理论分析与仿真结果均表明存在阵列模型误差时此算法宽带DOA估计的有效性和稳健性。
In order to solve the problem of wideband DOA (DOA) estimation of antenna arrays of arbitrary shape with array model errors in engineering applications, a correlation domain wideband relaxation (RELAX) algorithm based on signal separation is proposed. This algorithm uses the projection operator of the matrix operator with memory and forgetting features to effectively separate the incident signals. Therefore, the error of the array model within a certain range is better than the traditional broadband DF algorithm based on subspace theory Sex and good engineering application prospects. The signal separation mechanism of the algorithm and the principle that the algorithm is robust to array model errors are analyzed and proved. Both theoretical analysis and simulation results show the validity and robustness of the proposed DOA estimation algorithm in the presence of array model errors.