A Theoretical Study on Suboptimal Joint Transmit-Receive Diversity In Correlated Rayleigh Fading Channels

Abstract

In optimal joint transmit-receive diversity (JTRD), transmitter and receiver jointly optimize their diversity weight vectors so as to maximize the transmission performance. In this paper, suboptimal JTRD is considered, in which the receiver determines its diversity weight vector first and then, transmitter optimizes its diversity weight vector to maximize the resultant composite channel gain for the given receiver diversity weight vector. Closed-form expressions are derived for the distribution of received signal-to-noise ratio (SNR) in correlated Rayleigh fading channels. It is shown by Monte-Carlo numerical evaluation using the derived closed-form SNR distribution that the fading correlation does not necessarily degrade the transmission performance and can improve it compared to the case of uncorrelated Rayleigh fading channels.