Feedback capacity of ISI MIMO channel with colored noise

Abhishek Rawat, Nicola Elia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the problem of power constrained noiseless feedback capacity of single user MIMO ISI channel with colored noise. We generalize the approach in [1] by allowing non-minimum phase zeros and delays in the channel. When we consider the noise process which is non-minimum phase, we run into internal stability issues when we use the state-space approach while it is implicit in the frequency-domain characterization. Considering this issue, we focus on the state-space characterization and formulate the problem as a convex optimization problem. Through a numerical example, we demonstrate that delays in the channel hampers the gain in feedback capacity and consequently for large delays it approaches feedforward capacity.

Original languageEnglish (US)
Title of host publication2020 IEEE Information Theory Workshop, ITW 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728159621
DOIs
StatePublished - Apr 11 2021
Event2020 IEEE Information Theory Workshop, ITW 2020 - Virtual, Riva del Garda, Italy
Duration: Apr 11 2021Apr 15 2021

Publication series

Name2020 IEEE Information Theory Workshop, ITW 2020

Conference

Conference2020 IEEE Information Theory Workshop, ITW 2020
Country/TerritoryItaly
CityVirtual, Riva del Garda
Period4/11/214/15/21

Bibliographical note

Funding Information:
*This work was supported by NSF grant CCF-1320643. 1Abhishek Rawat is with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455, USA rawat020@umn.edu 2Nicola Elia is with the faculty of Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455, USA nelia@umn.edu

Publisher Copyright:
©2021 IEEE

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