A new approach to weighted sum-rate maximization for the K-user Gaussian interference channel

Liang Liu, Rui Zhang, Kee Chaing Chua

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

3 Citations (Scopus)

Abstract

Characterizing the global maximum of weighted sum-rate (WSR) for the K-user Gaussian interference channel (GIC), with the interference treated as Gaussian noise, is a key problem in wireless communication. However, due to users' mutual interference, this problem is in general non-convex and thus cannot be solved directly by conventional convex optimization techniques. In this paper, by jointly utilizing the monotonic optimization and rate profile techniques, we develop a new approach to obtain the globally optimal power control solution to the WSR maximization problem for the GIC with single-antenna transmitters and receivers. Different from prior work, this paper proposes to maximize the WSR in the achievable rate region of the GIC directly by exploiting the facts that the achievable rate region is a normal set and the users' WSR is a strictly increasing function over the rate region. Consequently, the WSR maximization problem belongs to the class of monotonic optimization over a normal set and thus can be solved globally optimally by the outer polyblock approximation algorithm. However, an essential step in this algorithm hinges on how to efficiently characterize the intersection point on the Pareto boundary of the achievable rate region with any prescribed rate profile vector. This paper shows that such a problem can be transformed into a sequence of signal-to- interference-plus-noise ratio (SINR) feasibility problems, which can be solved efficiently by existing techniques. Furthermore, this paper sheds some lights on how the proposed algorithm can be applied to solve WSR maximization problems for the multi-antenna GICs.

Original languageEnglish
Title of host publication2011 International Conference on Wireless Communications and Signal Processing, WCSP 2011
DOIs
Publication statusPublished - 1 Dec 2011
Externally publishedYes
Event2011 International Conference on Wireless Communications and Signal Processing, WCSP 2011 - Nanjing, China
Duration: 9 Nov 201111 Nov 2011

Publication series

Name2011 International Conference on Wireless Communications and Signal Processing, WCSP 2011

Conference

Conference2011 International Conference on Wireless Communications and Signal Processing, WCSP 2011
CountryChina
CityNanjing
Period9/11/1111/11/11

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Signal Processing

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