DocumentCode
1116659
Title
On the Generation of Gaussian Noise
Author
Nadarajah, Saralees ; Kotz, Samuel
Author_Institution
Sch. of Math., Manchester Univ.
Volume
55
Issue
3
fYear
2007
fDate
3/1/2007 12:00:00 AM
Firstpage
1172
Lastpage
1172
Abstract
The paper by Chapeau-Blondeau and Monir [IEEE Trans. Signal Process., vol.50, no.9, p.2160-5, 2002 September] addresses the problem of synthesizing a generalized Gaussian noise with exponent 1/2 by means of a nonlinear memoryless transformation applied to a uniform noise. The transformation involves the Lambert W function and the computation of this function required development of a rational approximation as well as a C program. Here, we show that same could be performed more easily for a generalized Gaussian noise with any exponent
Keywords
Gaussian noise; gamma function; generalized Gaussian noise; Data analysis; Distribution functions; Gaussian noise; Mathematics; Packaging; Probability density function; Signal processing; Software packages; Generalized Gaussian noise; incomplete gamma function; inverse of the regularized incomplete gamma function; regularized incomplete gamma function;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/TSP.2006.888061
Filename
4099564
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