关键词: 矩阵滤波器, 距离深度域, 拷贝向量, 最小二乘原理, 二阶锥规划, 宽带匹配场处理

Abstract: This paper introduces the matrix filter based on replica vectors processing which can be used to filter the broadband signals in range-depth domain. The least square principle will simplify the design of the matrix filter as a pseudo inverse problem, and the filter will turn out to be the product of the expected replica vectors matrix and the right pseudo inverse of real replica vectors matrix. This filter can be applied to broadband signal processing by signal spectrum analysis, and filtering the signal frequencies with high energy. This paper can filter the narrowband and broadband signals received by the vertical linear array respectively. The results show that the broadband matrix filter in range-depth domain can guarantee the hydrophone array works efficiently in much worse conditions than the narrowband one. Compared with the matrix filter designed by second-order cone programming, the matrix filter designed by least square principle is more expedient, and the power ratio between target and interference is greater after filtering, which is helpful for target detection.

Key words: matrix filter, range-depth domain, replica vector, least square principle, second-order cone programming, broadband Matched Field Processing（MFP）