Title :
On underdetermined source separation
Author :
Taleb, Anisse ; Jutten, Christian
Author_Institution :
LIS-INPG, Grenoble, France
Abstract :
This paper discusses some theoretical results on underdetermined source separation, i.e. when the mixing matrix is degenerate, especially when there is more sources than observations. In this case, we show that the sources can be restored up to an arbitrary additive random vector. In the particular case of discrete sources, very relevant for digital communications, we show that this vector is certain
Keywords :
array signal processing; digital communication; matrix algebra; additive random vector; continuous sources; degenerate mixing matrix; digital communications; discrete sources; nonGaussian sources; observations; sensor array; underdetermined source separation; Additive noise; Covariance matrix; Digital communication; Equations; Expectation-maximization algorithms; Sensor arrays; Source separation; Statistics; Transfer functions; Vectors;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.756254