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

Content Provider	IEEE Xplore Digital Library
Author	Barry, D.A. Li, L. Jeng, D.-S.
Copyright Year	1991
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/sub -1/. An existing, similar algorithm is presented. Iterative improvement of the W/sub -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.
Sponsorship	IEEE Signal Processing Society
Starting Page	1456
Ending Page	1457
Page Count	2
File Size	115568
File Format	PDF
ISSN	1053587X
Volume Number	52
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Gaussian noise Signal processing algorithms Roundoff errors Software algorithms Iterative algorithms Application software Mathematical analysis Computational efficiency Approximation methods Error analysis
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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