A general framework for joint transceiver design for multiuser MIMO channel shortening equalization

In this work, the issue of joint transmitter receiver filter optimization for channel shortening is addressed for a frequency selective multiuser multiple input multiple output system. The channel impulse response is shortened according to the minimum mean square error criterion and under a maximum transmit power limit. Channel duality is used to solve the problem due to the simplicity of the uplink, and then the solution is transformed to the downlink channel if required. The proposed method covers the equalization and shortening of both the broadcast, multiple access, interference, and MIMO frequency selective channels as special cases.