Suitability of α-µ for Composite Fading Modeling

• Published in: IEEE transactions on antennas and propagation Vol. 72; no. 4; pp. 3670 - 3679
• Main Authors: Anjos, Andre A. dos, Tenkorang, Godfred K., Martins, Fabio C., Leonardo, Elvio J., Yacoub, Michel D.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channel estimation; composite fading models; Fading; Fading channels; Fitting; Mathematical models; Measurement; measurement campaign; Probability density function; Rayleigh channels; Shadow mapping; statistical analysis; wireless communication
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2024.3364765

This work compares the statistical fitting performance of the fading models <inline-formula> <tex-math notation="LaTeX">\alpha </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">\mu </tex-math></inline-formula>, Nakagami-Lognormal, Generalized-K, and Fisher-Snedecor, to field measurements conducted at 1.8 GHz in a composite fading environment. The aim is to investigate whether a substantially easily computable, simpler model, namely <inline-formula> <tex-math notation="LaTeX">\alpha </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">\mu </tex-math></inline-formula>, can be used instead of more intricate ones, namely, Nakagami-Lognormal, Generalized-K, and Fisher-Snedecor, the former first explicitly derived for that scenario and the latter three obtained as an approximation of it. The comparison uses metrics such as normalized mean square error (NMSE) and the modified Kolmogorov-Smirnov test (modified K-S). In overwhelmed cases, <inline-formula> <tex-math notation="LaTeX">\alpha </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">\mu </tex-math></inline-formula> outperformed all the other models or, otherwise, gave a comparable performance.