Optimal Relay Design of Zero Forcing Equalization for MIMO Multi Wireless Relaying Networks

In  this  paper,  we develop  the  optimal  relay design  for  multiple-input multiple-output (MIMO)  multi wireless relaying networks,  when we consider  the problem of zero-forcing  processing  is studied  for multi-input multi- output  multi-relay  communication system in which MIMO source-destination  pairs   communicate   simultaneously.   It is assumed that due to severe shadowing effects which communication links can be established  only with the aid of relay node. The aim is to design the relay amplification matrix  to  maximize  the  achievable  communication sum- rate  through the  relay, which  in general  amplifying-and- forward  relaying  mechanisms   are  considered.   The  zero forcing (ZF) algorithm has studied for a MIMO multi relay network  by  comparing   its  performance in  terms  of bit- error-rate (BER)  at  destination  algorithm.  In  particular, we investigate  its performance with and without  using the ZF at  the relay. Our  results demonstrate that  the system performance can  be  significantly  improved  by  using  the ZF algorithm at relay (optimal  relay ZF algorithm)