Performance analysis of Nakagami-m MIMO channel in the presence of multiple keyhole

In this contribution, we analyze the average symbol error rate (SER) of space-time block coded (STBC) multiple-input multiple-output (MIMO) system over Nakagami-m fading channel with M-PSK constellation in the presence of multiple keyholes. We derived the expression of channel transmission matrix which was further statistically analyzed to find the probability density function (PDF) of instantaneous signal to noise ratio (SNR) for the channel containing multiple keyholes between it´s source and destination end. By performing (p-1)-fold convolution of the individual PDFs of instantaneous SNRs we derived the overall PDF of the multiple keyhole channel, which was used to derive the expression for average SER of the system. Furthermore, we examined the effect of multiple keyholes on the system performance. Result shows that with the increase of number of keyholes, a significant improvement in the system performance takes place. For a given number of keyholes, by increasing the number of receive antennas further improvement in the system performance is observed.