Comments on "Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2"

Barry, D. A., Li, L. and Jeng, D.-S. (2004) Comments on "Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2". IEEE Transactions on Signal Processing, 52 5: 1456-1458. doi:10.1109/TSP.2004.826154


Author Barry, D. A.
Li, L.
Jeng, D.-S.
Title Comments on "Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2"
Formatted title
Comments on “Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2”
Journal name IEEE Transactions on Signal Processing   Check publisher's open access policy
ISSN 1053-587X
1941-0476
Publication date 2004-05
Year available 2004
Sub-type Letter to editor, brief commentary or brief communication
DOI 10.1109/TSP.2004.826154
Volume 52
Issue 5
Start page 1456
End page 1458
Total pages 3
Editor A. H. Sayed
Place of publication New York, NY, U.S.A.
Publisher Institute for Electrical and Electronic Engineers (IEEE)
Collection year 2004
Language eng
Subject C1
260501 Groundwater Hydrology
770402 Land and water management
0906 Electrical and Electronic Engineering
1005 Communications Technologies
Formatted abstract
The Lambert W function appears in a wide variety of circumstances, including the recent application to signal processing referred to in the paper under discussion. Besides applications, a sizable body of mathematical analysis has been reported. The original paper presented a numerical algorithm for computation of W−1. An existing, similar algorithm is presented. Iterative improvement of the W−1 estimates is also discussed, and issues concerning computational efficiency and possible sources of rounding error in fixed precision computational environments are identified. Existing, public-domain software takes into account all the identified numerical issues and produces estimates of W to near the precision available on the host machine.
© 2004 IEEE
Keyword Engineering, Electrical & Electronic
Algorithms
Approximation methods
Error estimation
Finite word length effects
Iterative methods
Round-off errors
Real values
Equation
Q-Index Code C1

Document type: Journal Article
Sub-type: Letter to editor, brief commentary or brief communication
Collections: Excellence in Research Australia (ERA) - Collection
School of Civil Engineering Publications
2005 Higher Education Research Data Collection
 
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Created: Wed, 15 Aug 2007, 05:02:37 EST