Determination of the Number of Source Signals in Blind Source Separation
The determination of the number of unknown source signals when there are fewer sources than mixtures in blind source separation (BSS) has always been an unsolved problem. In the current paper, it is demonstrated that the source number can be estimated by computing the rank of the data matrix of the mixed signals. However, in the presence of noise, this simple conclusion will no longer hold, In order to solve this problem, we further prove that die number of sources can also be estimated reliably by computing the effective rank of correlation matrix of the signal mixtures by means of singular value decomposition, and present a simple algorithm. It paves the way to wider applications of BSS methods to real world signal processing.
Blind source separation correlation matrix effective rank singular value decomposition.
ZHANG Hong-yuan JIA Peng SHI Xi-zhi
State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiao Tong Univ.Shanghai 200030, China
国际会议
8th International Conference on Neural Information Processing(ICONIP 2001)(第八届国际神经信息处理大会)
上海
英文
833-838
2001-11-14（万方平台首次上网日期，不代表论文的发表时间）