A relationship between the SINR of MMSE and ALS receivers

Abstract

We consider a large system analysis of the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver for a class of random matrix channels. We give a relationship between the transient/steady-state SINR of the ALS and the MMSE receivers. We demonstrate that for a particular ratio of receive to transmit dimensions and window shape, all channels which have the same MMSE SINR, would have an identical transient ALS SINR response