Performance analysis of multiple antenna diversity in transmitter and receiver known channels

In this paper, we consider the situation that two antenna arrays with M and N elements are connected via a scattering medium giving uncorrelated antenna signal. The multiple antenna arrays in transmission and reception are used to combat fading and improve the data transferred rate in bandwidth limited wireless channel. It assumed that the channel status is known at the transmitter and receiver. Using the singular value decomposition (SVD) of the channel transfer matrix, the optimum transmitter and receiver antenna array weights are determined. The bound of signal noise rate (SNR) is presented based on the singular values of the channel transfer matrix. Finally, the expressions for bit error rate (BER) for non-fading as well as Rayleigh fading channel is derived when the optimal methods are used for transmission and reception.