Title :
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
fDate :
7/1/1993 12:00:00 AM
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;
Journal_Title :
Image Processing, IEEE Transactions on
