Paper Info
Title
New series representations for generalized Nuttall Q-function with applications
Abstract
In this article, we derive six distinct series representations of the generalized Nuttall Q-function. Interestingly, some of these expressions generalise some of the recent results on series representation of the Marcum Q-function since the Marcum Q-function is a special case of the Nuttall Q-function. To the best of our knowledge, five of these representations are novel and the other one is included for the completeness of the article. The performances of these representations are compared using the magnitude of the truncation error which gives a measure of the accuracy and rate of convergence and allow us to show the strength of each representation. We then discussed the area of applications of our result. We showed that our Nuttall Q-function representations and their corresponding special case (Marcum Q-function) (though not limited to only these), can be used in (i) the computation of outage probability of wireless communication system with co-channel interferers, (ii) the evaluation of detection probability of energy detector over generalized fading channels in cognitive radio system, and (iii) the computation of cumulative distribution of selection diversity combining in correlated Nakagami-m fading channel. In all these areas of application, our solution has no restriction on any parameter of interest.
Year
DOI
Venue
2012
10.1109/CCNC.2012.6181164
CCNC
Keywords
Field
DocType
generalized nuttall q-function,cognitive radio system,correlated nakagami-m fading channel,diversity reception,nakagami channels,series representation,wireless communication system,generalized fading channel,correlated fading channels,truncation error magnitude,energy detection,cognitive radio,marcum g-function,nuttall q-function,selection diversity combining,series (mathematics),cochannel interference,outage probability,cumulative distribution computation,cumulative distribution,probability detection evaluation,interference suppression,outage probability computation,marcum q-function,energy detector,probability,co channel interference,fading,diversity combining,convergence,fading channel,series mathematics,function representation,accuracy,detectors,truncation error,rate of convergence,polynomials,signal to noise ratio,wireless communication
Truncation error,Series (mathematics),Fading,Computer science,Algorithm,Nakagami distribution,Cumulative distribution function,Rate of convergence,Q-function,Statistics,Marcum Q-function,Distributed computing
Conference
ISSN
ISBN
Citations 
2331-9852
978-1-4577-2070-3
3
PageRank 
References 
Authors
0.45
3
2
Name
Order
Citations
PageRank
Oluwatobi Olabiyi15511.20
Annamalai Annamalai228841.69