Paper Info
Title
Comments on "numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2"
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.
Year
DOI
Venue
2004
10.1109/TSP.2004.826154
IEEE Transactions on Signal Processing
Keywords
Field
DocType
lambert w function,iteration method,equation,signal processing,indexing terms,public domain,approximation theory,gaussian noise,application software,mathematical analysis,public domain software,iterative methods,algorithms
Signal processing,Round-off error,Iterative method,Lambert W function,Approximation theory,Algorithm,Numerical analysis,Gaussian noise,Mathematics,Computation
Journal
Volume
Issue
ISSN
52
5
1053-587X
Citations 
PageRank 
References 
3
0.58
4
Authors
3
Name
Order
Citations
PageRank
D.A Barry1235.92
L. Li2237.77
D.-S. Jeng3141.62