On the performance of semidefinite relaxation MIMO detectors for QAM constellations

Authors:
Anthony Man-Cho So
Affiliations:
Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong
Venue:
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Year:
2009

Citing 0
Cited 2

Probabilistic analysis of the semidefinite relaxation detector in digital communications

SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
On the scale effects oriented MIMO detector: Diversity order, worst-case unit complexity and scale effects

Signal Processing

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Abstract

Due to their computational efficiency and strong empirical performance, semidefinite relaxation (SDR)-based algorithms have gained much attention in multiple-input multiple-output (MIMO) detection. In the case of a binary phase-shift keying (BPSK) constellation, the theoretical performance of the SDR approach is relatively well-understood. However, little is known about the case of quadrature amplitude modulation (QAM) constellations, although simulation results suggest that the SDR approach should work well in the low signal-to-noise ratio (SNR) region. In this paper we make a first step towards explaining such phenomenon by showing that in the case of QAM constellations, several commonly used SDR-based algorithms will provide a constant factor approximation to the optimal log-likelihood value in the low SNR region with exponentially high probability. Our result gives some theoretical justification for using SDR-based algorithms for the MIMO detection of QAM signals, at least in the low SNR region.