On the Distribution of the Sum of M\'{a}laga-$\mathcal{M}$ Random Variables and Applications

Autor:	Illi, Elmehdi, Bouanani, Faissal El, Ayoub, Fouad
Rok vydání:	2020
Předmět:	Computer Science - Information Theory
Druh dokumentu:	Working Paper
Popis:	In this paper, a very accurate approximation method for the statistics of the sum of M\'{a}laga-$\mathcal{M}$ random variates with pointing error (MRVs) is proposed. In particular, the probability density function of MRV is approximated by a Fox's $H$-function through the moment-based approach. Then, the respective moment-generating function of the sum of $N$ MRVs is provided, based on which the average symbol error rate is evaluated for an $N $-branch maximal-ratio combining (MRC) receiver. The retrieved results show that the proposed approximate results match accurately with the exact simulated ones. Additionally, the results show that the achievable diversity order increases as a function of the number of MRC diversity branches. Comment: 6 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.03108 Zobrazit plný text záznamu View this record from Arxiv