A new form of the moment generating function of Weibull distribution

Author

Xiang Hou ; Rongxi He ; Xudong Wang ; Zheng Yang

Author_Institution

Coll. of Inf. Sci. & Technol., Dalian Maritime Univ., Dalian, China

fYear

2013

fDate

23-25 July 2013

Firstpage

1229

Lastpage

1233

Abstract

A generic analysis approach referred to as the moment generating function (MGF) method has been introduced for the purpose of simplifying the evaluation of the performance of digital communication over fading channels. Based on the definition of the MGF, the Meijer´s G function and the generalized hypergeometric function, a new closed-form expression has been derived for the MGF of the Weibull distribution. This new form can be expressed as the sum of the single variable, which can be easily evaluated with the common software such as Matlab.

Keywords

Weibull distribution; fading channels; linear differential equations; Matlab; Meijer G function; Weibull distribution; closed-form expression; digital communication; fading channels; generalized hypergeometric function; moment generating function method; performance evaluation; statistical model; wireless indoor channels; wireless outdoor channels; Digital communication; Equations; Mathematical model; Probability density function; Weibull distribution; Weibull fading channels; Meijer´s G funcition; Weibull distribution; moment generating function; the generalized hypergeometric function;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation (ICNC), 2013 Ninth International Conference on

Conference_Location

Shenyang

Type

conf

DOI

10.1109/ICNC.2013.6818166

Filename

6818166