INVESTIGATION PERFORMANCE MINIMUM MSE RELAY DESIGN FOR MIMO MULTI-RELAY NETWORKS
Abstract
This paper aims to investigate the structure of the source-precoding matrix and also study the optimal
configuration of the relay amplifying matrices for non-regenerative multiple-input multiple-output (MIMO)
multi-relay communication systems. In this point that one type of receiver is considered at the destination node,
there is a minimum mean-square-error (MMSE) receiver criterion. We show that for a receiver scheme, the scheme
design is simplified as a problem with relay amplifying matrix variables, which is deduced with the maximum power
constraint at the relay station based on the minimum MSE criterion of the signal waveform estimation at the
destination. In this case also, we designed relays as all pass amplify-and-forward (AF) units, which are simpler to
implement. Compared with existing algorithms for MIMO multi-relay networks such as zero-forcing algorithm [8], the
proposed relay design for MIMO multi-relay algorithm as an MMSE receiver has significant improvement in the
system bit-error-rate (BER) performance.

