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

Authors:

28 December 2012

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Communications Letters

Vol. 17 (2) , 245-248
DOI:10.1109/lcomm.2012.120612.122130

Abstract

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)=x^c-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.

Keywords

This publication has 12 references indexed in Scilit:

Very Simple Tight Bounds on the Q-Function
IEEE Transactions on Communications, 2012
Efficient Symbol Error Rate Analysis of Cooperative Non-Regenerative Relay Systems over Generalized Fading Channels
International Journal of Wireless & Mobile Networks, 2012
Quantifying Performance of Cooperative Diversity using the Sampling Property of a Delta Function
IEEE Transactions on Wireless Communications, 2011
An Accurate and Efficient Approximation to the Gaussian Q-Function and its Applications in Performance Analysis in Nakagami-m Fading
IEEE Communications Letters, 2011
A Simple Upper Bound of the Gaussian Q-Function with Closed-Form Error Bound
IEEE Communications Letters, 2011
An Analytically Tractable Approximation for the Gaussian Q-Function
IEEE Communications Letters, 2008
An Improved Approximation for the Gaussian Q-Function
IEEE Communications Letters, 2007
A General Method for Calculating Error Probabilities Over Fading Channels
IEEE Transactions on Communications, 2005
Symbol error probabilities for general Cooperative links
IEEE Transactions on Wireless Communications, 2005
Harmonic Mean and End-to-End Performance of Transmission Systems With Relays
IEEE Transactions on Communications, 2004