On the Exact and Asymptotic Analysis of Wireless Transmission over α−μ/Inverse Gamma Composite Fading Channels

• Published in: 2020 International Conference on Wireless Communications and Signal Processing (WCSP) pp. 789 - 794
• Main Authors: Wang, Xiaoting, Cheng, Weijun, Xu, Xianmeng
• Format: Conference Proceeding
• Language: English
• Published: IEEE 21.10.2020
• Subjects: composite fading channel; Fading channels; inverse gamma distribution; Modulation; Numerical models; performance analysis; Rayleigh channels; Shadow mapping; Signal to noise ratio; Wireless communication; α-μ fading model
• ISSN: 2472-7628
• DOI: 10.1109/WCSP49889.2020.9299764

More recently, it has attracted wide attention to model shadow fading by applying the inverse gamma distribution in wireless transmission. In this paper, we present a composite α-μ/inverse gamma fading model, which is a generalized version of the well-known Fisher-Snedecor ℱ composite fading model. The Fisher-Snedecor ℱ model has been introduced in the emerging 5G applications, such as massive MIMO and D2D (device-to-device). For this novel α-μ/inverse gamma model, we first derive its theoretical expressions of the statistical characteristics by using the definition of univariate Fox's H-function in terms of Mellin-Barnes type contour integral. Then, capitalizing on the above statistical expressions, some novel and exact closed-form and asymptotic expressions of performance criteria, such as the outage probability, the amount of fading, the average bit/symbol error probability (ABEP/ASEP), and the average channel capacity, for wireless communication system are derived, respectively. Especially, the exact expressions of the ASEP of several M-ary modulation schemes are obtained in terms of the multivariate Fox's Hfunction. Finally, numerical analysis and Monte-Carlo simulations are performed to demonstrate the accuracy of the theoretical expressions.