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On the Dirac Delta Approximation and the MGF Method for ASER Analyses of Digital Communications over Fading Channels

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3 Author(s)
Adebola, E. ; Dept. of Electr. & Comput. Eng., Prairie View A&M Univ., Prairie View, TX, USA ; Olabiyi, O. ; Annamalai, A.

Two distinct methods are applied to derive tighter closed-form approximations for the average symbol error rate (ASER) of a multitude of coherent and differentially coherent digital modulations (with/without diversity) in different fading environments. The first approach relies on the Dirac delta function approximation of a generalized function g(x)=xc-1 exp(-ax) to eliminate the need for integration, while the second method exploits a tight exponential-type approximation for the Gaussian probability integral to express the ASER in terms of only the moment generating function (MGF) of received signal-to-noise ratio (SNR) random variable.

Published in:

Communications Letters, IEEE  (Volume:17 ,  Issue: 2 )

Date of Publication:

February 2013

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