球谐域传播算子快速声定向算法

doi:10.3969/j.issn.1000-1093.2018.10.008

兵工学报 ›› 2018, Vol. 39 ›› Issue (10): 1936-1944.doi: 10.3969/j.issn.1000-1093.2018.10.008

球谐域传播算子快速声定向算法

潘曦¹，佟颖¹，王华阳²

(1.北京理工大学机电学院，北京 100081； 2.上海无线电设备研究所，上海 200090)

收稿日期:2018-03-21 修回日期:2018-03-21 上线日期:2018-11-19
作者简介:潘曦（1976—），女，副教授。E-mail：panxi@bit.edu.cn；
佟颖(1996—)，女，硕士研究生。E-mail：2657581945@qq.com；
王华阳（1993—），男，助理工程师。E-mail:wanghuayang@bit.edu.cn
基金资助:
国家自然科学基金项目（61401027）

Acoustic Sources Localization Using Propagator Method in Spherical Harmonic Domain

PAN Xi¹, TONG Ying¹， WANG Hua-yang²

(1.School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China; 2.Shanghai Institute of Radio Equipment, Shanghai 200090, China)

Received:2018-03-21 Revised:2018-03-21 Online:2018-11-19

摘要/Abstract

摘要： 为了在低信噪比情况下宽带声源可以获得较好的波达方向（DOA)估计并且降低运算量，将正交传播算子算法推广应用于球谐域。在建立球阵列声场模型基础上，提出两种基于球谐传播算子定向算法，即使用球傅里叶变换成分获得传播算子的算法和使用球傅里叶变换成分的交叉谱矩阵获得传播算子的算法。分析了不同半径的球阵列频率适应范围，解决了宽带声源频率适应性问题；比较分析了上述两种算法和球谐域多重信号分类算法在不同信噪比下的DOA估计性能，进行声源定向实验并测试3种算法的DOA估计用时。实验结果表明，两种算法均具有运算量小、花费时间少且定向准确的特点。

关键词: 波达方向估计, 宽带声源, 正交传播算子算法, 球谐函数, 球阵列

Abstract: In order to obtain the better direction of arrival (DOA) estimation and reduce the amount of computation for the wideband acoustic source under the condition of low signal-to-noise ratio, the ortho- gonal propagator algorithm is now applied to the spherical harmonic domain. Based on the establishment of a spherical array acoustic field model, two spherical harmonic propagator orientation algorithms are proposed, including the algorithm in which the spherical Fourier transform component is used to obtain the propagator and the algorithm in which the cross spectrum matrix with the spherical Fourier transform component is used to obtain the propagator. The frequency adaptation range of spherical arrays with different radii is analyzed, and the problem of multi-bandwidth acoustic source frequency adaptability is solved. The DOA estimation performances of the two algorithms and the spherical harmonic domain multiple signal classification algorithm under different SNRs are compared and analyzed. Acoustic source orientation experiments were performed, and the DOA estimation time of the three algorithms was test. Experiments show that both algorithms have the characteristics of small computation, less time and accurate orientation. Key

Key words: directionofarrival, multiplewidebandacousticsource, orthonormalpropagatoralgorithm, sphericalharmonicsfunction, sphericalarray

中图分类号:

TJ43⁺4.5

潘曦，佟颖，王华阳. 球谐域传播算子快速声定向算法[J]. 兵工学报, 2018, 39(10): 1936-1944.

PAN Xi, TONG Ying， WANG Hua-yang. Acoustic Sources Localization Using Propagator Method in Spherical Harmonic Domain[J]. Acta Armamentarii, 2018, 39(10): 1936-1944.

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第10期2018 年10月兵工学报ACTA
ARMAMENTARIIVol.39No.10Oct.2018

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球谐域传播算子快速声定向算法

Acoustic Sources Localization Using Propagator Method in Spherical Harmonic Domain

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