Title :
On the indeterminacies of convolutive blind signal separation based on second order statistics
Author :
Schobben, Daniël W E ; Sommen, Piet C W
Author_Institution :
Eindhoven Univ. of Technol., Netherlands
Abstract :
Several blind signal separation algorithms have been developed which are based on second order statistics. Little has been published however on whether second order statistics are sufficient to obtain a unique solution. Especially for applications that involve convolutive mixing and unmixing of signals that are correlated in time, there is a lack of knowledge on why and in what cases second order statistics suffice. This paper investigates the indeterminacies that are introduced when second order statistics are used and presents a theorem for the unmixing system to be uniquely found using second order statistics
Keywords :
convolution; correlation methods; filtering theory; matrix algebra; statistical analysis; blind signal separation algorithms; convolutive blind signal separation; convolutive signals mixing; convolutive signals unmixing; indeterminacies; mixing filters; second order statistics; source correlation matrix rank; time correlated signals; unmixing filters; unmixing system; Australia; Blind source separation; Higher order statistics; Maximum likelihood estimation; Mutual information; Sensor systems; Signal processing algorithms; Source separation; Uniform resource locators;
Conference_Titel :
Signal Processing and Its Applications, 1999. ISSPA '99. Proceedings of the Fifth International Symposium on
Conference_Location :
Brisbane, Qld.
Print_ISBN :
1-86435-451-8
DOI :
10.1109/ISSPA.1999.818151
