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:
Signal Processing, IEEE Transactions on
(Volume:52
,
Issue:
5
)
Date of Publication: May 2004