DocumentCode :
2475309
Title :
Probability density function of logarithmic ratio of arithmetic mean to geometric mean for Nakagami-m fading power
Author :
Cheng, Julian ; Wang, Ning ; Tellambura, Chintha
fYear :
2010
fDate :
12-14 May 2010
Firstpage :
348
Lastpage :
351
Abstract :
In this work, we study the statistical properties of a parameter Δ, which is defined as the logarithmic ratio of the arithmetic mean to the geometric mean for the Nakagami-m fading power. This parameter is useful in studying the maximum-likelihood (ML) based estimation of the Nakagami m fading parameter. Closed-form expressions are derived for the moment generating function and the probability density function (PDF) of the parameter Δ. For large sample size, it is found that the PDF of the parameter Δ can be well approximated by a two-parameter Gamma PDF. This approximation is validated by the Kolmogorov-Smirnov test.
Keywords :
Nakagami channels; statistical distributions; Kolmogorov-Smirnov test; ML parameter; Nakagami-m fading power; arithmetic mean; closed-form expressions; logarithmic ratio; maximum likelihood estimation; moment generating function; probability density function; statistical properties; two-parameter Gamma PDF; Arithmetic; Closed-form solution; Fading; Maximum likelihood estimation; Nakagami distribution; Parameter estimation; Performance analysis; Probability density function; Testing; Wireless communication;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Communications (QBSC), 2010 25th Biennial Symposium on
Conference_Location :
Kingston, ON
Print_ISBN :
978-1-4244-5709-0
Type :
conf
DOI :
10.1109/BSC.2010.5472954
Filename :
5472954
Link To Document :
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