DocumentCode :
3155577
Title :
The α — κ — μ/gamma distribution: A generalized non-linear multipath/shadowing fading model
Author :
Sofotasios, Paschalis C. ; Freear, Steven
Author_Institution :
Sch. of Electron. & Electr. Eng., Univ. of Leeds, Leeds, UK
fYear :
2011
fDate :
16-18 Dec. 2011
Firstpage :
1
Lastpage :
6
Abstract :
This work is devoted to the formulation and derivation of the α - κ - μ/gamma distribution which corresponds to a physical fading model. The proposed distribution is composite and is constituted by the α - κ - μ non-linear generalized multi-path model and the gamma shadowing model. It also constitute the basis for deriving the α - κ - μ Extreme /gamma model which accounts for non-linear severe multipath and shadowing effects and also includes the more widely known α - μ and k - μ models which includes as special cases the Rice, Weibull, Nakagami-m and Rayleigh distributions. The derived models provide accurate characterisation of the simultaneous occurrence of multipath fading and shadowing effects. This is achieved thanks to the remarkable flexibility of their named parameters which have been shown to render them capable of providing good fittings to experimental data associated with realistic communication scenarios. This is also evident by the fact that they include as special cases the widely known composite fading models such as the recently reported k - μ/gamma model and the novel α - μ/gamma model. Novel analytic expressions are derived for the corresponding probability density function of these distributions which are expressed in a convenient algebraic form and can be efficiently utilized in the derivation of numerous vital measures in investigations related to the analytic performance evaluation of digital communications over composite multipath/shadowing fading channels.
Keywords :
algebra; digital communication; fading channels; gamma distribution; performance evaluation; α - κ - μ gamma distribution; α - κ - μ nonlinear generalized multi-path model; algebraic form; composite fading models; digital communications; multipath-shadowing fading channels; nonlinear multipath-shadowing fading model; performance evaluation; physical fading model; Mathematical model; Numerical models; Probability density function; Rayleigh channels; Shadow mapping; Wireless communication; α — μ Distribution; composite fading channels; k — μ Distribution; k — μ Extreme/gamma distribution; non-linear fading; performance analysis; probability; shadowing;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
India Conference (INDICON), 2011 Annual IEEE
Conference_Location :
Hyderabad
Print_ISBN :
978-1-4577-1110-7
Type :
conf
DOI :
10.1109/INDCON.2011.6139442
Filename :
6139442
Link To Document :
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