A new view of performance analysis of transmit diversity schemes in correlated Rayleigh fading

Abstract

This article provides a new formulation for the pairwise error probability for any coherently demodulated system in arbitrarily correlated Rayleigh fading. The novelty of the result is that the error probability expression can be described as a function of the eigenvalues of a "signal"-only matrix. We also provide the relationship between the pole location of the characteristic function and the resulting error probability. This result allows us to approximate and bound the desired probability. A new simple bound on the pairwise error probability is derived that is better than the standard Chernoff bound and asymptotically tight with the signal-to-noise ratio (SNR) to the true probability.