Title
Tightness of a New and Enhanced Semidefinite Relaxation for MIMO Detection
Abstract
In this paper, we consider a fundamental problem in modern digital communications known as multiple-input multiple-output (MIMO) detection, which can be formulated as a complex quadratic programming problem subject to unit-modulus and discrete argument constraints. Various semidefinite-relaxation-based (SDR-based) algorithms have been proposed to solve the problem in the literature. In this paper, we first show that conventional SDR is generally not tight for the problem. Then, we propose a new and enhanced SDR and show its tightness under an easily checkable condition, which essentially requires the level of the noise to be below a certain threshold. The above results have answered an open question posed by So in [Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms (SODA'10), SIAM, Philadelphia, PA, 2011, pp. 698-711]. Numerical simulation results show that our proposed SDR significantly outperforms the conventional SDR in terms of the relaxation gap.
Year
DOI
Venue
2017
10.1137/17M115075X
SIAM JOURNAL ON OPTIMIZATION
Keywords
Field
DocType
complex quadratic programming,semidefinite relaxation,MIMO detection,tight relaxation
Mathematical optimization,MIMO,Quadratic equation,Mathematics
Journal
Volume
Issue
ISSN
29
1
1052-6234
Citations 
PageRank 
References 
4
0.42
15
Authors
4
Name
Order
Citations
PageRank
Cheng Lu1405.14
Y. F. Liu245430.59
Wei-Qiang Zhang313631.22
Shuzhong Zhang42808181.66