An extended compound gamma model and application to composite fading channels

• Published in: Statistics, optimization & information computing Vol. 3; no. 1; p. 42
• Main Author: T, Princy
• Format: Journal Article
• Language: English
• Published: Hong Kong International Academic Press (Hong Kong) 2015
• Subjects: Channels; Communication channels; Density; Distribution functions; Fading; Maximum entropy; Statistical analysis; Statistical models; Wireless communication systems
• ISSN: 2311-004X; 2310-5070
• DOI: 10.19139/soic.v3i1.91

Wireless communication systems are subject to short and long-term fading channels. In this paper, an extended form of a statistical model for the composite fading channels is derived from the maximum entropy principle. Subsequently, the composite fading channel is derived by replacing the conditional density by entropy-maximizing distribution (Mathai's pathway model). This pathway model is versatile enough to represent short-term fading as well as the shadowing. The new wireless channel model generalizes the commonly used models for multipath fading and shadowing. In particular, using the G-function, we derive the density function, distribution function and moments of the new model in closed form. These derived results are a suitable device to analyze the performance of composite fading systems such as density function of the Signal Noise to Ratio (SNR), Amount of Fading (AF), and Outage Probability (OP) etc. The results will be shown graphically for different signal and fading parameter values.