基于循环平稳特性的时频分析法欠定盲源分离

doi:10.3969/j.issn.1000-1093.2015.04.019

兵工学报 ›› 2015, Vol. 36 ›› Issue (4): 703-709.doi: 10.3969/j.issn.1000-1093.2015.04.019

基于循环平稳特性的时频分析法欠定盲源分离

张良俊¹，杨杰¹，卢开旺²，孙亚东¹

(1.武汉理工大学光纤传感技术与信息处理教育部重点实验室，湖北武汉 430070；

收稿日期:2014-05-07 修回日期:2014-05-07 上线日期:2015-06-02
作者简介:张良俊(1987—)，男，博士研究生
基金资助:
国家自然科学基金项目（51479159）

Underdetermined Blind Source Separation Based on Time-frequency Method Using Cyclostationary Characteristic

ZHANG Liang-jun¹, YANG Jie¹, LU Kai-wang², SUN Ya-dong¹

(1.Key Laboratory of Fiber Optic Sensing Technology and Information Processing, Ministry of Education,Wuhan University of Technology, Wuhan 430070, Hubei, China; 2.Military Representative Bureau of Air Force for Ordnance and General Equipment,Beijing 100071, China)

Received:2014-05-07 Revised:2014-05-07 Online:2015-06-02

摘要/Abstract

摘要： 基于二次时频分布的算法是解决欠定盲源分离问题的一种有效方法。不同于传统算法，针对循环平稳信号，借助分段平均的周期图法求解谱相关密度函数，并利用其实现Wigner-Ville时频分布的重构。计算信号时频分布矩阵并找出自源时频点，利用自源时频点对应的时频分布矩阵构建新的3阶张量模型。利用平行因子分解，直接实现源信号的分离。该算法不需要假设任意时频点的源数目，不大于混合信号数目。仿真实验结果表明，所提出的方法可以有效地抑制噪声，并且只需要一步即可实现源信号的恢复，避免“两步法”造成的误差叠加，提高了盲源分离的效率和性能。

关键词: 信息处理技术, 欠定盲源分离, 循环平稳, 二次时频分布, WignerVille分布, 平行因子分解

Abstract: Quadratic time-frequency distribution (TFD) is an effective method to solve the underdetermined blind source separation problems. In the proposed method, the cyclic spectrum density (CSD) is calculated using the piecewise average periodogram method, which is used to reconstruct the Wigner-Ville distribution (WVD). The auto-term TF points are detected after computing the matrixes of TFDs, and a new three-order tensor is folded by the chosen TFD matrixes. At last, PARAFAC decomposition is applied to separate the sources directly, which does not assume that the number of active sources at any TF point is not larger than the sensor number. Simulation results demonstrate that the proposed method can suppress the noise effectively and separate the sources directly with only one step, avoiding the superposition of error of “two-step” methods, which improves the performance and efficiency of separation.

Key words: information processing technology, underdetermined blind source separation, cyclostation, quadratic time-frequency distribution, Wigner-Ville distribution, PARAFAC decomposition

张良俊，杨杰，卢开旺，孙亚东. 基于循环平稳特性的时频分析法欠定盲源分离[J]. 兵工学报, 2015, 36(4): 703-709.

ZHANG Liang-jun, YANG Jie, LU Kai-wang, SUN Ya-dong. Underdetermined Blind Source Separation Based on Time-frequency Method Using Cyclostationary Characteristic[J]. Acta Armamentarii, 2015, 36(4): 703-709.

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基于循环平稳特性的时频分析法欠定盲源分离

Underdetermined Blind Source Separation Based on Time-frequency Method Using Cyclostationary Characteristic

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