Robust semi-definite relaxation MIMO detection in a non-gaussian channel

Abstract

Semi-definite relaxation (SDR) is a popular technique for Multi-Input Multi-Output (MIMO) detection. For Binary Phase-Shift Keying (BPSK) and Quadratic Phase-Shift Keying (QPSK), it has been found that SDR can provide a near-optimal Bit Error rate (BER) performance in a Gaussian channel. However if the noise in the channel deviates from the Gaussian model, as it does in many real wireless channels, BER performance drops considerably. In this paper we show that SDR can be applied for detection in a non-Gaussian channel using Huber's M-estimation method for robust regression.