似P范数特征值分解高分辨率声源定位识别方法研究

刘月婵;何元安;商德江;孙 超

振动与冲击 ›› 2014, Vol. 33 ›› Issue (11) : 26-32.

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PDF(2882 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (11) : 26-32.
论文

似P范数特征值分解高分辨率声源定位识别方法研究

  • 刘月婵1,何元安2,商德江1,孙 超1
作者信息 +

High-resolution localization and identification method of sound sources based on Lp norm eigenvalue decomposition

  • LIU Yue-chan 1 HE Yuan-an 2 SHANG De-jiang 1 SUN Chao 1
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摘要

提出一种基于似P范数特征分解的高分辨率声源定位识别方法,该方法在子空间类算法原理基础上,利用特征分解得到子空间响应函数向量,通过预设声源类型建立各子空间声源向量重构模型,进而利用似P范数稀疏性约束条件求解最优解,获取高分辨率声源定位识别效果。理论及仿真研究表明,与其它常规算法相比,该方法不仅能真实反映声源位置信息,而且能反映不同声源能量分布的绝对大小,对多种类型声源具有高精度,高分辨率定位识别效果,适用性强。通过对影响定位性能参数的仿真分析,给出了合理的选取范围。水池试验进一步验证了该方法具有良好的工程应用前景。

Abstract

A high-resolution method for sound sources localization and identification based on LP norm eigenvalue decomposition is proposed in this paper. According to the principle of signal subspace method, the response function of subspace is obtained by making eigen decomposition of cross spectral matrix. The signal reconstruction model in each feature subspace is established via pre-defined sound source types for the reference solutions, and then by utilizing the sparse constraint condition of LP norm to calculate the optimal solution, the high-resolution localization and identification of sound sources can be achieved. By the theory derivation and numerical simulation, the method proposed not only can obtain the localization results but also can reflect the absolute contribution of each coherent source comparing with several existing beamforming algorithms. The parameters affecting the performance of sources identification are also reasonably chosen by numerical simulations. The method is capable of locating and identifying sources with high-precision and high-resolution which has good prospect in engineering applications.


关键词

声源定位识别 / 似P范数 / 特征子空间

Key words

sound source localization and identification / Lp norm / feature subspace

引用本文

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刘月婵;何元安;商德江;孙 超. 似P范数特征值分解高分辨率声源定位识别方法研究[J]. 振动与冲击, 2014, 33(11): 26-32
LIU Yue-chan HE Yuan-an SHANG De-jiang SUN Chao . High-resolution localization and identification method of sound sources based on Lp norm eigenvalue decomposition[J]. Journal of Vibration and Shock, 2014, 33(11): 26-32

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