Spatial Precoder Design Using Fixed Parameters of MIMO Channels

Abstract

Abstract-New Results for the performance analysis of maximal ratio combining (MRC) using BPSK modulation in spatially correlated Rayleigh fading channels with imperfect channel knowledge are presented in terms of antenna array configuration and parameters of scatterer distributions. The utility of recently developed expressions for bit error probability is enhanced by application of a spatial correlation formulation for arbitrarily spaced antennas and general scatterer distributions. The results of performance analysis give valuable insight into the performance of MRC in realistic Rayleigh fading scenarios with imperfect channel state information for both isotropic and non-isotropic fading scenarios.

Spatial Precoder Design for Differential Space-Time Coded Systems: Based on Fixed Parameters of MIMO Channels

“…The optimization problem we have here is identical to the optimization problem derived in [15] for precoder design with coherent detection, except a different scalar for the equality constraint. For nR = 1, the optimal solution to (13) is given by the classical "water-filling" solution found in information theory [1].…”

“…Therefore we can view our optimization problem (13) as a generalized water-filling problem. In [15], closed form solution for the optimum qi is given for systems with up to three receive antennas and a generalized method is presented for more than three receive antennas. Following the results derived in [15] here we present optimum qi for (13) for nR = 1, 2 and 3 receive antennas.…”