Achieving Antenna and Multipath Diversities in GLRT-Based Burst Packet Detection

Robust detection of the arrival of a packet is challenging in burst wireless communications, because the detection performance is vulnerable to channel fading. In this paper, we study strategies to achieve diversity to combat with channel fading in the detection regime. The contributions of this paper are twofold. (i) The cyclic-delay diversity (CDD) combined with multiple-antenna generalized-likelihood-ratio-test (GLRT) detection is proposed to achieve both antenna and multipath diversities in the detection regime, in both time domain (TD) and frequency domain (FD), where the multipath diversity is obtained by CDD. (ii) GLRT detectors with multiple antennas under frequency-selective multipath fading channel in TD and FD, i.e., TD-GLRT and FD-GLRT, are derived. Miss-detection probability (MDP) and false-alarm probability (FAP) of TD-GLRT and FD-GLRT are analyzed, based on which, the diversity gains of both detectors are obtained. Results show that full diversity, offered by both independent antennas and multipath components, is achieved with the proposed approach for both TD-GLRT and FD-GLRT, no matter whether the assisted sequence has a perfect autocorrelation property or not. In addition, for TD-GLRT, assisted sequences with a non-perfect autocorrelation property may lead to a significant SNR loss due to multipath, while for FD-GLRT, the SNR loss is insignificant.