Probality Density Function Analysis of Multipath Fading with Phase Error over Rayleigh and Rician Fading Channels in Equal Gain Diversity

The performance and capacity improvement of Wireless Communication (WC) are growing tremendously due to its global acceptability. However, it suffers from multipath fading, which is made worse as a result of the imperfect recovery of the carrier phase by the Phased Locked Loop (PLL) circuit, thereby, causing Phase Error (PE). The previous analyses over various channels resulted in very difficult and complex integrals. This work is an attempt to analyze the WC in Rayleigh and Rician channels corrupted by multipath fading with phase error, using PDF (Probability Density Function) in Equal Gain Combining (EGC) statistical analysis. Closed form expressions were derived over independent and identically distributed (i.i.d) channel for different schemes. BER for BPSK modulation was obtained. Numerical and simulation results for different degrees of phase error were obtained. The results show that the higher the degree of the PE, the higher the Bit Error Rate and the Outage Probability, indicating that the PE must be kept within the allowable values.