A General Framework for Frequency Domain Multi-Channel Signal Processing

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

doi:10.1109/83.236528

A General Framework for Frequency Domain Multi-Channel Signal Processing

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

MRC - Materials Research Center

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59 Scopus citations

Abstract

In this paper, we provide a general framework for performing linear shift-invariant within channel and shift varying across channels processing of stationary multi-channel (MC) signals. Emphasis is given on the restoration of degraded signals. We show that, by utilizing the special structure of semi-block 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. We show that in MC signal processing each frequency component of a signal and system is respectively represented 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.

Original language	English (US)
Pages (from-to)	417-420
Number of pages	4
Journal	IEEE Transactions on Image Processing
Volume	2
Issue number	3
DOIs	https://doi.org/10.1109/83.236528
State	Published - Jul 1993

ASJC Scopus subject areas

Software
Computer Graphics and Computer-Aided Design

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AB - In this paper, we provide a general framework for performing linear shift-invariant within channel and shift varying across channels processing of stationary multi-channel (MC) signals. Emphasis is given on the restoration of degraded signals. We show that, by utilizing the special structure of semi-block 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. We show that in MC signal processing each frequency component of a signal and system is respectively represented 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.

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A General Framework for Frequency Domain Multi-Channel Signal Processing

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