On the Sum of α-F and Double α-F VariatesWith Application to MRC and RIS
In this letter, a statistical framework is presented for the sum of <inline-formula> <tex-math notation="LaTeX">\alpha </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">{\mathcal{F}} </tex-math></inline-formula&g...
Saved in:
Published in | IEEE communications letters Vol. 26; no. 12; pp. 2894 - 2898 |
---|---|
Main Authors | , , , , , , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.12.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | In this letter, a statistical framework is presented for the sum of <inline-formula> <tex-math notation="LaTeX">\alpha </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">{\mathcal{F}} </tex-math></inline-formula> and double <inline-formula> <tex-math notation="LaTeX">\alpha </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">{\mathcal{F}} </tex-math></inline-formula> random variates. The statistical results are applied in two scenarios: i) communication systems with maximum ratio combiner (MRC)-based receivers, in which new expressions are derived for the bit error probability (BEP), the outage probability (OP), and the area under the receiver operating characteristics (AUC) curve; and ii) reconfigurable intelligent surfaces (RIS)-aided wireless systems, in which novel expressions for the BEP and OP are deduced. In some cases, an asymptotic analysis is provided. Curves are presented and the theoretical results are corroborated by Monte-Carlo simulations. |
---|---|
ISSN: | 1089-7798 1558-2558 |
DOI: | 10.1109/LCOMM.2022.3205861 |