A Novel Series Expansion for Symbol Error Rates of Selected Modulation Schemes in Slow Fading Weibull Channels

摘要

In this paper, a comparative study of the simulated symbol error rate (SER) with the theoretical SER of uncoded communication systems is made for selected modulation schemes with and without fading. Slow fading Weibull and Rayleigh channels are considered in this paper. The modulation schemes considered are (1) Binary Phase Shift Keying, (2) Quadrature Phase Shift Keying, (3) Orthogonal Frequency Shift Keying and (4) M-ary Quadrature Amplitude Modulation. A novel series expansion for SER of selected modulation schemes in slow fading Weibull channels is considered. In addition, closed-form expressions for the upper and lower bounds of the SER for the aforementioned modulation schemes in the presence of AWGN and Weibull fading channels are derived and plotted. The simulated results are validated by comparing them with their theoretical results, upper and lower bounds.