A Single-Letter Capacity Formula for MIMO Gauss-Markov Rayleigh Fading Channels
Abstract
Over the past decades, the problem of communication over finite-state Markov channels (FSMCs) has been investigated in many researches and the capacity of FSMCs has been studied in closed form under the assumption of the availability of partial/complete channel state information at the sender and/or the receiver. In our work, we focus on infinite-state Markov channels by investigating the problem of message transmission over time-varying single-user multiple-input multiple-output (MIMO) Gauss-Markov Rayleigh fading channels with average power constraint and with complete channel state information available at the receiver side (CSIR). We completely solve the problem by giving a single-letter characterization of the channel capacity in closed form and by providing a proof of it.
Keywords
Cite
@article{arxiv.2207.13357,
title = {A Single-Letter Capacity Formula for MIMO Gauss-Markov Rayleigh Fading Channels},
author = {Rami Ezzine and Moritz Wiese and Christian Deppe and Holger Boche},
journal= {arXiv preprint arXiv:2207.13357},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2201.03400