一种声矢量阵子空间拟合算法及其矩阵预滤波器设计

A subspace fitting algorithm of acoustic vector sensor array and corresponding matrix pre-filter design

为了减少矩阵预滤波器通带响应畸变程度,提出了一种基于阻带约束通带最大k个误差范数和(k为约束点的数目)最小化准则的矩阵预滤波器设计方法,通过使通带内最大的k个响应误差范数和最小化,减少了通带响应畸变程度。同时针对声矢量阵方位估计算法计算量过大的问题,提出了一种基于矩阵预滤波的声矢量阵子空间拟合算法,通过对声矢量阵声压、振速信号子空间进行联合处理,将预滤波矩阵和拟合子空间矩阵均减少为M×M维(M为阵元数),从而减少矩阵预滤波器设计和方位搜索所需时间。仿真结果和分析表明该算法性能和预滤波MUSIC算法相当,但在计算量上有较大优势,矩阵预滤波方法能抑制阻带干扰,提高后续算法的分辨和估计性能。

In order to ease the response distortion of the pass-band of the matrix pre-filter, a simple approach for designing matrix spatial filter is proposed, which complies with the criterion of minimizing the sum of the k maximal distortion norm （k is the number of the constraint points） within the pass-band, while constraining the filter response within the stop-band. The response distortion could be decreased by complying with the new criterion. In regard to the costly amount of calculation of the high-resolution methods, an algorithm based on matrix spatial pre-filtering and subspace fitting using acoustic vector array （MF-VSSF） is proposed. Through combined processing by using the signal subspace of the pressure and particle velocity~ the pre-filtering matrix and signal subspace of the proposed algorithm is decreased to M-dimensional （M is the number of array-elements）, which reduces the time-consumption of the matrix pre-filter design and DOA searching. Simulation results show that, the proposed method offers not only a clear advantage to lower quantity of calculation, but also an acceptable estimation and resolution performance, moreover, the designed pre-filter can efi3ciently attenuate the interference within the stop-band and improve the estimation and resolution performance of DOA estimators.