Capacity-achieving multiple coding for MIMO Rayleigh fading systems

This paper presents the study of transmit power adaption and capacity-approaching coding/decoding in multiple-input-multiple-output (MIMO) Rayleigh fading channels under the assumption that perfect channel state information (CSI) is known at both the transmitter and the receiver. We propose three different simple, but powerful, methods for transforming the MIMO fading channel into a set of additive white noise Gaussian (AWGN) channels. We show that the channel capacity can be closely approached by using only a small number of different codes designed for the Gaussian channel.