Asymptotically equivalent sequences of matrices and capacity of a discrete-time gaussian MIMO channel with memory
Keywords: 
Asymptotically equivalent sequences of matrices.
Channel capacity.
Channel with memory.
Gaussian channel.
Multiple-input-multiple-output (MIMO) channel.
Issue Date: 
Sep-2017
Publisher: 
IEEE
ISSN: 
0018-9448
Citation: 
Gutiérrez-Gutiérrez, J., Crespo, P. M., Zárraga-Rodríguez, M., & Hogstad, B. O. (2017). Asymptotically equivalent sequences of matrices and capacity of a discrete-time Gaussian MIMO channel with memory. IEEE Transactions on Information Theory, 63(9), 6000-6003.
Abstract
Using some recent results on asymptotically equivalent sequences of matrices, we present in this paper, a new derivation of the capacity formula given by Brandenburg and Wyner for a discrete-time Gaussian multiple-input-multiple-output channel with memory. In this paper, we tackle not only the case considered by them, where the number of channel inputs and the number of channel outputs are the same, but also when both numbers are different.

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