Rational Gauss-Chebyshev Quadratures for Wireless Performance Analysis

Author

Dhungana, Yamuna ; Tellambura, C.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada

Volume

2

Issue

2

fYear

2013

fDate

Apr-13

Firstpage

215

Lastpage

218

Abstract

The convergence rate of the classical Gauss-Chebyshev quadrature (GCQ) rule for wireless performance as a function of the signal-to-noise ratio (SNR) is analyzed. The convergence rate is found to decline as the SNR varies from high to low. Thus, at low SNR, the number of nodes needed to achieve the desired accuracy is extremely high. A generalized rational GCQ rule is thus adopted. The nodes and weights are then computed from a system of orthogonal rational functions. The rational GCQ is much more accurate than the classical GCQ over the entire SNR range. Especially at low SNR, the accuracy is extremely high.

Keywords

Chebyshev approximation; Gaussian processes; radio networks; SNR; generalized rational GCQ rule; orthogonal rational functions; rational Gauss-Chebyshev quadrature; signal-to-noise ratio; wireless performance analysis; Accuracy; Chebyshev approximation; Convergence; Rayleigh channels; Signal to noise ratio; Wireless communication; Error probability; Gauss-Chebyshev quadrature; moment generating function; outage probability; signal-to-noise ratio;

fLanguage

English

Journal_Title

Wireless Communications Letters, IEEE

Publisher

ieee

ISSN

2162-2337

Type

jour

DOI

10.1109/WCL.2013.012513.120837

Filename

6450162