一种声矢量阵子空间拟合算法及其矩阵预滤波器设计 |
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引用本文: | 王燕,吴文峰,范展,梁国龙.一种声矢量阵子空间拟合算法及其矩阵预滤波器设计[J].声学学报,2014,39(3):324-330. |
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作者姓名: | 王燕 吴文峰 范展 梁国龙 |
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作者单位: | 哈尔滨工程大学水声技术重点实验室 哈尔滨 150001 |
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基金项目: | 国家自然科学基金(61201411,51279043,51209059,51009042);水声技术重点实验室基金(9140C200203110C2003)资助 |
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摘 要: | 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。
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关 键 词: | 矩阵范数 滤波器设计 拟合算法 子空间 通带 矢量信息 阻带 预滤波 方位估计 空域滤波 |
收稿时间: | 2012-10-26 |
A subspace fitting algorithm of acoustic vector sensor array and corresponding matrix pre-filter design |
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Institution: | Science and Technology on Underwater Acoustic Laboratory, Harbin Engineering University Harbin 150001 |
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Abstract: | 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 efficiently attenuate the interference within the stop-band and improve the estimation and resolution performance of DOA estimators. |
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