Title :
Identifiability of multichannel linear systems driven by colored inputs and its application to blind signal separation
Author :
Inouye, Yujiro ; Sako, Boubacar
Author_Institution :
Dept. of Syst. Eng., Osaka Univ., Japan
fDate :
30 May-2 Jun 1994
Abstract :
This paper deals with the problem of identification of multichannel linear systems driven by unobservable colored inputs based on higher-order statistics of the outputs. Let S be the set of scalar stable transfer functions. We define the notion of a generalized permutation matrix (g-matrix) over S and that of a shift matrix (s-matrix). It is shown that the transfer function matrix of an unknown system is identified up to post-multiplication of the product of a g-matrix and a s-matrix. This result is applied to identifying FIR systems for blind signal separation
Keywords :
MIMO systems; higher order statistics; identification; linear systems; signal resolution; transfer function matrices; FIR systems; MIMO systems; blind signal separation; generalized permutation matrix; higher-order statistics; multichannel linear systems; scalar stable transfer functions; shift matrix; transfer function matrix; unobservable colored inputs; Application software; Biological system modeling; Blind source separation; Finite impulse response filter; Higher order statistics; Linear systems; MIMO; Signal processing; Transfer functions; Vectors;
Conference_Titel :
Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on
Conference_Location :
London
Print_ISBN :
0-7803-1915-X
DOI :
10.1109/ISCAS.1994.409299