A general framework for frequency domain multi-channel signal processing. Katsaggelos, A., Lay, K., & Galatsanos, N. IEEE Transactions on Image Processing, 2(3):417–420, IEEE, jul, 1993. Paper doi abstract bibtex 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. © 1993 IEEE
@article{katsaggelos1993general,
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. {\textcopyright} 1993 IEEE},
author = {Katsaggelos, A.K. and Lay, K.T. and Galatsanos, N.P.},
doi = {10.1109/83.236528},
issn = {10577149},
journal = {IEEE Transactions on Image Processing},
month = {jul},
number = {3},
pages = {417--420},
publisher = {IEEE},
title = {{A general framework for frequency domain multi-channel signal processing}},
url = {http://ieeexplore.ieee.org/document/236528/},
volume = {2},
year = {1993}
}
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