Reliability Analysis for Large MIMO Systems

In this letter, we investigate the asymptotic behaviour of error exponents of large multiple-input multiple-output system taking into account of spatial correlation at the transmit and receive antennas. Both the random coding error exponent and expurgated error exponent are studied using the replica method and saddle point approximation. Simulation results demonstrate that the derived expressions are very accurate. Also, compared with the prior expression which involves the hypergeometric function with matrix argument, our expression is much simpler and provides significant computational advantage.