基于方向幅值比的欠定盲源分离算法

doi:10.12068/j.issn.1005-3026.2019.07.002

东北大学学报:自然科学版 ›› 2019, Vol. 40 ›› Issue (7): 920-924.DOI: 10.12068/j.issn.1005-3026.2019.07.002

基于方向幅值比的欠定盲源分离算法

季策，姜雨田

(东北大学计算机科学与工程学院，辽宁沈阳110169)

收稿日期:2018-06-13 修回日期:2018-06-13 出版日期:2019-07-15 发布日期:2019-07-16
通讯作者: 季策
作者简介:季策( 1969-)，女，辽宁沈阳人，东北大学副教授.
基金资助:
国家自然科学基金资助项目(61671141，61501038).

Underdetermined Blind Source Separation Algorithm Based on Directional Amplitude Ratio

JI Ce， JIANG Yu-tian

School of Computer Science & Engineering， Northeastern University， Shenyang 110169， China.

Received:2018-06-13 Revised:2018-06-13 Online:2019-07-15 Published:2019-07-16
Contact: JIANG Yu-tian
About author:-
Supported by:
-

摘要/Abstract

摘要： 为了提高欠定盲源分离问题中混合矩阵的估计精度，提出了基于时频域混合信号数据点的方向幅值比的欠定盲源分离算法.为了充分利用复混合信号数据点的相位信息，引入复信号的方向幅值比，通过复混合信号的方向幅值比的方差、均值、分布密度实现单源点的精确提取.将分布在直线方向上的单源点进行单位投影化处理，通过聚类分析获得混合矩阵的列元素之比，从而实现混合矩阵的估计.利用匹配追踪算法将源信号进行重构.经仿真验证，提出的算法相较于对比算法，可以获得更高精度的混合矩阵与分离信号.

关键词: 欠定盲源分离, 方向幅值比, 单源点, 聚类分析, 匹配追踪算法

Abstract: In order to improve the estimation accuracy of mixed matrix in underdetermined blind source separation， an underdetermined blind source separation algorithm based on directional amplitude ratio of mixed signal data in frequency domain was proposed. In order to make full use of the phase information of data points of complex mixed signals， the directional amplitude ratio of complex signals was introduced， and the screening of single source points was accurately implemented by the variance， mean and distribution density of directional amplitude ratio of the complex mixed signals. The single source points was disposed with unitization and projection， the ratio of column elements of a mixed matrix was obtained through clustering analysis to estimate the mixed matrix. Finally， the matching pursuit algorithm was used to reconstruct the source signal. The simulation results show that the algorithm proposed can obtain more precise mixed matrix and separated signals compared with the comparison algorithms.

Key words: underdetermined blind source separation, directional amplitude ratio, single source points, clustering analysis, matching pursuit algorithm

中图分类号:

TN911.7

季策，姜雨田. 基于方向幅值比的欠定盲源分离算法[J]. 东北大学学报:自然科学版, 2019, 40(7): 920-924.

JI Ce， JIANG Yu-tian. Underdetermined Blind Source Separation Algorithm Based on Directional Amplitude Ratio[J]. Journal of Northeastern University Natural Science, 2019, 40(7): 920-924.

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基于方向幅值比的欠定盲源分离算法

Underdetermined Blind Source Separation Algorithm Based on Directional Amplitude Ratio

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