Feedback capacity of ISI MIMO channel with colored noise

Abhishek Rawat; Nicola Elia

doi:10.1109/ITW46852.2021.9457644

Feedback capacity of ISI MIMO channel with colored noise

Abhishek Rawat, Nicola Elia

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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 language	English (US)
Title of host publication	2020 IEEE Information Theory Workshop, ITW 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728159621
DOIs	https://doi.org/10.1109/ITW46852.2021.9457644
State	Published - Apr 11 2021
Event	2020 IEEE Information Theory Workshop, ITW 2020 - Virtual, Riva del Garda, Italy Duration: Apr 11 2021 → Apr 15 2021

Publication series

Name	2020 IEEE Information Theory Workshop, ITW 2020

Conference

Conference	2020 IEEE Information Theory Workshop, ITW 2020
Country/Territory	Italy
City	Virtual, Riva del Garda
Period	4/11/21 → 4/15/21

Bibliographical note

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©2021 IEEE

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Rawat, A & Elia, N 2021, Feedback capacity of ISI MIMO channel with colored noise. in 2020 IEEE Information Theory Workshop, ITW 2020., 9457644, 2020 IEEE Information Theory Workshop, ITW 2020, Institute of Electrical and Electronics Engineers Inc., 2020 IEEE Information Theory Workshop, ITW 2020, Virtual, Riva del Garda, Italy, 4/11/21. https://doi.org/10.1109/ITW46852.2021.9457644

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AB - 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.

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Feedback capacity of ISI MIMO channel with colored noise

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