Performance Analysis of Coordinate Interleaved Systems over Rayleigh Fading Channels

Abstract Diversity can play a very vital role in improving the performance of a communication system. The achievable performance with signal space diversity (SSD) is analyzed and a closed form expression for an upper bound of average probability of bit error (Pb) for M -ary phase shift keying (MPSK) in Rayleigh fading channels is presented. Previously in the literature, the problem of calculating Pb of coherent MPSK over an uncorrelated Rayleigh fading channel has been addressed. A solution based on the nearest neighbors was given. In this paper we show that the results with the nearest neighbor approximation represent an expurgated bound and are only valid for a small range of rotation angles. The exact pair-wise error probability (PEP) is calculated for correlated Rayleigh fading channels. It is shown that the derived bound is tight for the entire range of rotation angles at high signal-to-noise ratios (SNR).