Approximate Solution to SEP Integral over Fluctuating Beckmann Fading

Abstract

In this letter we derive a generalized approximate closed-form solution for the symbol error probability (SEP) of modulation schemes over recently introduced Fluctuating Beckmann (FB) fading model. The noticeable fact about FB fading is that it covers all the important fading models like Gaussian, Rayleigh, Rician, Nakagami-m, $$\eta -\mu$$, $$\kappa -\mu$$, shadowed Rician and $$\kappa -\mu$$ distributions as special cases. The exponential-based approximations to the Gaussian-Q function are used to derive approximate yet accurate solution to the SEP integral. This solution is expressed only in terms of power functions and is therefore mathematically simple.