数学与系统科学研究院
计算数学所学术报告会
报告人: Prof. Zhiquan Luo
Department of Electrical and Computer Engineering, University of Minnesota, USA
报告题目:
Probabilistic Analysis of SDP Relaxation for Binary Quadratic Minimization with Application to Wireless Communication
报告摘要:
Abstract: Despite its optimal bit-error-rate (BER) performance, the maximum-likelihood (ML) detection is known to be NP-hard and suffers from high computational complexity. The currently popular suboptimal detectors either achieve a polynomial time complexity at the expense of BER performance degradation (e.g., MMSE Detector), or offer a near ML performance with a complexity that is exponential in the worst case. This work considers a highly efficient (polynomial worst case complexity) quasi-ML detection method based on Semi-Definite (SDP) relaxation. It is shown that, for a standard vector Rayleigh fading channel, this SDP-based quasi-ML detector achieves, in the high signal-to-noise ratio (SNR) region, a BER which is identical to that of the exact ML detector. In the low SNR region we use the random matrix theory to show that the SDP-based detector serves as a constant factor approximation to the ML detector for large systems.
报告时间: 2005年6月24日(周五) 上午10:30-11:30
报告地点:科技综合楼三层311报告厅
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