On the Performance Analysis of Wireless Transmission over α - μ/Inverse Gamma Composite Fading Channels

摘要

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 systems 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 H-function. Finally, numerical analysis and Monte-Carlo simulations are performed to demonstrate the accuracy of the theoretical expressions.