By Topic

A spectral characterization of the ill-conditioning in numerical deconvolution

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Ekstrom, M.P. ; University of California, Livermore, CA, USA

An important class of applications in digital signal processing involves the numerical solution of the convolution integral. These so-called numerical deconvolution problems are notoriously difficult to solve because of their inherent ill-conditioning. In this paper we present a characterization of this ill-conditioning based on a classical spectral decomposition of the discrete convolution. Factors prominently influencing the conditioning are identified and some explicit sensitivity measures are introduced.

Published in:

Audio and Electroacoustics, IEEE Transactions on  (Volume:21 ,  Issue: 4 )