Abstract

For multiple-input multiple-output (MIMO) communication systems, the zero-forcing (ZF) receiver has attracted great research interest in recent years. The purpose of this work is to analyze the effect of channel estimation error on the performance of the MIMO-ZF receiver over spatially correlated Rayleigh fading channels. Unlike previous works, where the channel is assumed with transmit correlation but without receiver correlation, we treat the fully correlated channel cases. Furthermore, we assume that the channel estimation error is a Gaussian and correlated matrix. The distribution of the post-processing signal-to-noise ratios is approximated. An approximation of the average bit error rate (BER) is derived and compared to Monte Carlo simulation results. The proposed BER expression takes into consideration that the post-processing noise in not Gaussian. Numerical results show an excellent agreement between the analytical approximation and Monte Carlo simulation curves.

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