The Generalized Degrees-of-Freedom Region of the Two-User MIMO Broadcast Channel With Delayed CSIT

Tong Zhang, Shuai Wang, Yinfei Xu, Rui Wang, P. C. Ching, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we characterize the generalized degrees-of-freedom (GDoF) region of the two-user (M,N_{1},N_{2}) multiple-input multiple-output (MIMO) broadcast channel with delayed channel state information at the transmitter (CSIT), where there are one transmitter with M antennas and two receivers with N_{1} and N_{2} antennas, respectively. Under delayed CSIT, different from the existing converse approaches in the multiple-input single-output (MISO) GDoF and MIMO degrees-of-freedom (DoF) models, we incorporate new components into traditional approaches for this MIMO GDoF converse. For the achievability, we generalize the existing MISO achievable scheme. Our result reveals how the channel strength and antenna configuration impact the GDoF region of the two-user MIMO broadcast channel with delayed CSIT. Furthermore, the extension of our converse to a GDoF outer region of the K-user MIMO broadcast channel with delayed CSIT is also provided.

Original languageEnglish (US)
Pages (from-to)1167-1177
Number of pages11
JournalIEEE Transactions on Information Theory
Volume70
Issue number2
DOIs
StatePublished - Feb 1 2024
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Keywords

  • Delayed CSIT
  • GDoF region
  • MIMO broadcast channel

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