DocumentCode :
1780544
Title :
Scrutinizing the average error probability for Nakagami fading channels
Author :
Alirezaei, Gholamreza ; Mathar, Rudolf
Author_Institution :
Inst. for Theor. Inf. Technol., RWTH Aachen Univ., Aachen, Germany
fYear :
2014
fDate :
June 29 2014-July 4 2014
Firstpage :
2884
Lastpage :
2888
Abstract :
The ultimate goal of the present paper is to provide mathematical tools for dealing with the complicated average error probability (AEP) in Nakagami fading channels. This is useful for analytical investigations as well as alleviating computational effort in simulations or on-line computations. We hence thoroughly analyze the mathematical structure of the AEP over Nakagami fading channels. First, the AEP is re-parameterized to obtain a mathematically concise form. The main contributions are then as follows. An ordinary differential equation is set up, which has the AEP as a solution. By this approach, a new representation of the AEP is found, which merely needs integration over a broken rational function. This paves the way to numerous amazing relations of the AEP, e.g., to the Gaussian hypergeometric and the incomplete beta function. Moreover, monotonicity and log-convexity are demonstrated. Finally, asymptotic expansions of the AEP are given.
Keywords :
Nakagami channels; differential equations; error statistics; AEP asymptotic expansions; Gaussian hypergeometric; Nakagami fading channels; average error probability; broken rational function; differential equation; incomplete beta function; log-convexity; mathematical tools; monotonicity; Equations; Error probability; Fading; Information theory; Mathematical model; Nakagami distribution; Random variables;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
Type :
conf
DOI :
10.1109/ISIT.2014.6875361
Filename :
6875361
Link To Document :
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