Performance analysis of efficient digital modulation schemes over various fading channels

Using a simple yet accurate two-term exponential based approximation of the Gaussian Q function, in this paper, we simplify the intractable yet significant integrals which are used in the symbol error probability (SEP) expressions of various efficient digital modulation schemes over various well known fading statistics like Rayleigh, Nakagami-m, Nakagami-q and Nakagami-n. Precisely, we express these integrals in terms of simple moment generating function (MGF) whose solution for the aforementioned fading channels can be easily obtained from the literature. This MGF based approach simplifies the cumbersome integrals and eventually makes the SEP expressions tractable. The analytical work is further validated with the help of Monte-Carlo simulations.

Automated summary

This paper simplifies the intractable integrals used in symbol error probability expressions of digital modulation schemes over various fading statistics by using a two-term exponential based approximation of the Gaussian Q function. The integrals are expressed in terms of simple moment generating function (MGF) for easy solution in literature regarding fading channels, making the SEP expressions tractable. The analytical work is validated through Monte-Carlo simulations.