一种新的基于EEF准则的空间声源个数估计算法

doi:10.3969/j.issn.0372-2112.2016.03.029

电子学报 ›› 2016, Vol. 44 ›› Issue (3): 687-692.DOI: 10.3969/j.issn.0372-2112.2016.03.029

一种新的基于EEF准则的空间声源个数估计算法

黄青华, 张翼飞, 刘凯

上海大学通信与信息工程学院, 上海 200072

收稿日期:2014-04-29 修回日期:2014-09-05 出版日期:2016-03-25
- 作者简介:
- 黄青华 女,1978年生,山东人,获得上海交通大学图像处理与模式识别研究所博士学位.现为上海大学通信与信息工程学院副教授.研究领域包括信号处理,3D音频,贝叶斯算法. E-mail:qinghua@shu.edu.cn;张翼飞 女,1991年生,河南人,获得河南大学工科学士学位.现为上海大学通信与信息工程学院硕士研究生.研究方向为阵列信号处理;刘凯男,1981年生,湖北人,获得中国科学技术大学博士学位.现为上海大学通信与信息工程学院副教授.研究领域包括无线定位,雷达信号处理.
- 基金资助:
- 国家自然科学基金 (No.61001160); 上海市教委创新基金 (No.12YZ023); 上海市自然科学基金 (No.14ZR141500)

A Novel Spatial Acoustic Source Enumeration Algorithm Based on EEF Criterion

HUANG Qing-hua, ZHANG Yi-fei, LIU Kai

School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China

Received:2014-04-29 Revised:2014-09-05 Online:2016-03-25 Published:2016-03-25

摘要/Abstract

摘要：

针对指数嵌入族(Exponentially Embedded Families,EEF)准则在快拍数小于阵元数情况下无法估计声源个数的问题,本文提出一种新的空间声源个数估计算法.首先通过球麦克风阵列采集空间声场高阶信息,建立球阵列信号模型,将声源个数估计扩展到三维空间.继而将观测信号空间分解为信号子空间和噪声子空间,利用最小均方差(Minimum Mean-Squared Error,MMSE)方法估计观测信号空间及噪声子空间的协方差矩阵,确保矩阵估计的一致性和准确性.在此基础上改进似然比函数,同时引入新的自由度计算,使得算法在快拍数小于阵元数的情况下能有效估计声源个数.仿真结果表明,在进行空间声源个数估计时,相对于EEF准则,新的算法不仅适用于快拍数小于阵元数情况,同时提高了估计准确率.

关键词: 空间声源个数估计, 球麦克风阵列, 指数嵌入族准则, 最小均方差

Abstract:

The exponentially embedded families (EEF) criterion fails to enumerate sources when the number of snapshots is smaller than that of array sensors.To solve this problem,a novel estimation algorithm is proposed based on the EEF criterion in this paper.First a spherical microphone array is used to sample high-order sound field information in 3D space and the array signal model is constructed to estimate the number of spatial acoustic sources.Then the observation space is divided into a signal subspace and a noise subspace.The covariance matrices of the observation space and the noise subspace are estimated by minimum mean-squared error (MMSE) method.Based on the consistent and more accurate estimates,we calculate a new likelihood ratio function and a parameter freedom to modify the conventional EEF criterion.The proposed method can enumerate sources effectively in the case of the deficient number of snapshots.Compared with the conventional EEF criterion,simulation results demonstrate that the proposed algorithm has better performance for source enumeration.

Key words: spatial acoustic source enumeration, spherical microphone array, exponentially embedded families criterion, minimum mean-squared error

中图分类号:

TN912.3

黄青华, 张翼飞, 刘凯. 一种新的基于EEF准则的空间声源个数估计算法[J]. 电子学报, 2016, 44(3): 687-692.

HUANG Qing-hua, ZHANG Yi-fei, LIU Kai. A Novel Spatial Acoustic Source Enumeration Algorithm Based on EEF Criterion[J]. Acta Electronica Sinica, 2016, 44(3): 687-692.

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一种新的基于EEF准则的空间声源个数估计算法

A Novel Spatial Acoustic Source Enumeration Algorithm Based on EEF Criterion

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