A general framework for frequency domain multi-channel signal processing

Author

Katsaggelos, A.K. ; Lay, K.T. ; Galatsanos, N.P.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA

Volume

2

Issue

3

fYear

1993

fDate

7/1/1993 12:00:00 AM

Firstpage

417

Lastpage

420

Abstract

The authors provide a general framework for performing processing of stationary multichannel (MC) signals that is linear shift-invariant within channel and shift varying across channels. Emphasis is given to the restoration of degraded signals. It is shown that, by utilizing the special structure of semiblock circulant and block diagonal matrices, MC signal processing can be easily carried out in the frequency domain. The generalization of many frequency-domain single-channel (SC) signal processing techniques to the MC case is presented. It is shown that in MC signal processing each frequency component of a signal and system is presented, respectively, by a small vector and a matrix (of size equal to the number of channels), while in SC signal processing each frequency component in both cases is a scalar

Keywords

frequency-domain analysis; signal processing; telecommunication channels; block diagonal matrices; frequency component; frequency domain; multichannel signal processing; multichannel stationary signals; scalar; vector; Computer science; Degradation; Frequency domain analysis; Image restoration; Matrix decomposition; Nonlinear filters; Signal processing; Signal processing algorithms; Signal restoration; Wiener filter;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.236528

Filename

236528