An optimal receiver for transmission diversity over uncertain channels

In this paper, a receiver for a dual transmit diversity system is designed that takes into account the channel estimation error, assuming the unknown channel to have a given complex bivariate Gaussian probability density function (pdf) (i.e., a Ricean pdf). This criterion of the receiver, which is based on the maximum a posteriori (MAP), is expressed in a quadratic form, and in extreme cases, represents either a linear detector or a noncoherent-nonlinear detector. Simulations of the symbol error probability (SEP) of the receiver and analysis of an upper bound (UB) and a lower bound (LB) confirm that the proposed detector achieves robust performance against channel imperfections.