Computation of Feedback Capacity of Single User Multi-Antenna Stationary Gaussian Channel

Abhishek Rawat, Nicola Elia, Chong Li

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

Abstract

In this paper, we consider the single user communications through multiple transmitting and receiving antennas over the additive stationary Gaussian channel under input power constraints. We consider the problem of finding the feedback capacity of the aforementioned channel by utilizing the control theoretic interpretation of feedback communications. We connect the problem of finding the strictly causal filter to achieve the feedback capacity with the problem of finding stabilizing feedback controllers with maximum reliable transmission rate over Youla parameters. We then evaluate the asymptotic capacity achieving upper bounds by solving finite dimensional dual optimization problem. Optimal filter obtained from dual problem is then used to derive the sequence of lower bounds. Numerical example shows that the sequence of lower bounds and upper bounds are capacity achieving.

Original languageEnglish (US)
Title of host publication2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1128-1135
Number of pages8
ISBN (Electronic)9781538665961
DOIs
StatePublished - Feb 5 2019
Externally publishedYes
Event56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018 - Monticello, United States
Duration: Oct 2 2018Oct 5 2018

Publication series

Name2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018

Conference

Conference56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018
Country/TerritoryUnited States
CityMonticello
Period10/2/1810/5/18

Bibliographical note

Funding Information:
*This work was supported by NSF grants CNS-1239319 and CCF-1320643.

Publisher Copyright:
© 2018 IEEE.

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