Representation of Composite Fading and Shadowing Distributions by Using Mixtures of Gamma Distributions

Abstract—The Nakagami-lognormal distribution is the commonly used composite distribution for modeling multipath fading and shadowing. In this paper1 , simple and new form of distribution which can accurately represent both the mutlipath fading and shadowing effects is introduced. The signal-to-noise ratio (SNR) of the Nakagami-lognormal distribution follows the gamma-lognormal distribution, which is accurately approximated by a weighted mixture of gamma distributions. We show how the weights and other parameters of the summands are obtained. Further, accuracy of the mixture distribution is compared with the KG distribution – a popular approximation of the Nakagamilognormal distribution.

• Type: Conference
• Year: 2010
• Where: WCNC
• Authors: Saman Atapattu, Chintha Tellambura, Hai Jiang
• Keywords: Composite Distribution, Computer Networks, Multipath Fading, Nakagami-lognormal Distribution, WCNC 2010