Space-time coding over fading channels with stable noise

This paper addresses the performance of space-time coding over fading channels with impulsive noise, which is known to accurately capture network interference. We use symmetric alpha stable noise distribution and adopt two models that assume dependent and independent noise components across receive antennas. We derive the pairwise error probability (PEP) of orthogonal space-time block codes (STBCs) with a benchmark genie-aided receiver (GAR) or the minimum distance receiver (MDR), which is optimal in the Gaussian case. For general space-time codes, we propose a maximum-likelihood (ML) receiver and its approximation at high signal-to-noise ratio (SNR). The resulting asymptotically optimal receiver (AOR) does not depend on noise parameters and is computationally simple. Monte Carlo simulations are used to supplement our analytical results and compare the performance of the receivers.