Approximate Solution to SEP Integral over Fluctuating Beckmann Fading
- 19 Downloads
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.
KeywordsAWGN Symbol error probability Digital modulation Gaussian Q function Fading
- 1.Simon, M. K., & Alouini, M.-S. (2005). Digital communication over fading channels (2nd ed.). New York: Wiley.Google Scholar
- 8.Aggarwal, S. (2019). A survey-cum-tutorial on approximations to Gaussian Q function for symbol error probability analysis over Nakagami- fading channels. IEEE Communications: Surveys and Tutorials, 21(3), 2195–2223.Google Scholar
- 9.Craig, J. W. (1991). A new simple and exact result for calculating the probability of error for two-dimensional signal constellations. In Proceedings of IEEE Military communications conference, pp. 25.5.1–25.5.5.Google Scholar