Analytical error rate performance evaluation of a multi-keyhole wireless MIMO channel based on largest eigenvalue distribution

An analytical approach is presented to evaluate the symbol error rate (SER) of a multiple-input multiple-output wireless channel over keyhole Nakagami-m channel using the probability density function of the largest eigenvalue of the channel matrix. The results are evaluated numerically in terms of SER for 8-PSK coherent multiple-input multiple-output (MIMO) system. The results show that compared to independent and identically distributed channel, system with keyhole channel suffers power penalty in receiver sensitivity to achieve a given SER. Further, there is improvement in receiver sensitivity at a given SER as the number of keyhole is increased. The improvement is about 13.5 dB for n_T=n_R=4 when number of keyhole is 4 compared to mono-keyhole channel, at SER=10^-6.