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

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3 Author(s)
D. A. Barry ; Univ. of Edinburgh, UK ; L. Li ; D. -S. Jeng

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.

Published in:

IEEE Transactions on Signal Processing  (Volume:52 ,  Issue: 5 )