On the nuclear norm approach to interference alignment

Huiqin Du*, Tharm Ratnarajah

*Corresponding author for this work

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

Abstract / Description of output

This paper considers a K-user multiple-input multiple-output (MIMO) interference channel in which un-coordinated interference appears. Due to the uncoordinated interference, perfect interference alignment (IA) may be not attained. In order to maximize the achievable degrees-of-freedom (DoF) per user, the interference alignment is formulated as a rank constrained rank minimization (RCRM) problem which maximizes the rank of the interference matrix while keeping a full-rank constraint on the direct signal space. Because of the non-convexity of the optimization problem, we propose a new approach to provide a tight convex approximation for the rank function, instead of using the standard nuclear norm approximation. The optimum precoders and receiver subspaces are obtained iteratively via alternating minimizing approach, with convergence guaranteed. Simulation results are presented to validate the effectiveness of the proposed algorithms.

Original languageEnglish
Title of host publicationConference Record - Asilomar Conference on Signals, Systems and Computers
Pages1571-1575
Number of pages5
DOIs
Publication statusPublished - 1 Dec 2012
Event46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012 - Pacific Grove, CA, United Kingdom
Duration: 4 Nov 20127 Nov 2012

Conference

Conference46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Country/TerritoryUnited Kingdom
CityPacific Grove, CA
Period4/11/127/11/12

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