Title :
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
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;
Journal_Title :
Wireless Communications Letters, IEEE
DOI :
10.1109/WCL.2013.012513.120837
