DoF Region of the MISO BC with Partial CSIT: Proof by Inductive Fourier-Motzkin Elimination

Hamdi Joudeh, Bruno Clerckx

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

We provide a fresh perspective on the problem of characterizing the DoF region of the K-user MISO BC with arbitrary levels of partial CSIT. In a previous achievability proof, Piovano and Clerckx characterized all faces describing a polyhedral outer bound region, and then with the aid of mathematical induction, prescribed a scheme based on rate-splitting with flexible assignment of common DoF and power levels to achieve each such face. We propose an alternative approach in which we deal directly with the region achievable through rate-splitting and employ a Fourier-Motzkin procedure to eliminate all auxiliary variables, hence reducing the achievable region to the known outer bound. A key insight emerging from our proof is that tuning only one power variable, as well as assigning the common DoF, is sufficient to achieve the entire DoF region, as opposed to K power variables previously employed.

Original languageEnglish
Title of host publication2019 IEEE 20th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2019
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Electronic)9781538665282
DOIs
Publication statusPublished - Jul 2019
Externally publishedYes
Event20th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2019 - Cannes, France
Duration: 2 Jul 20195 Jul 2019

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC
Volume2019-July

Conference

Conference20th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2019
CountryFrance
CityCannes
Period2/07/195/07/19

Keywords

  • channel state information
  • Degrees of freedom
  • Fourier-Motzkin elimination
  • power allocation
  • rate-splitting

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