By Topic

An efficient frequency-domain algorithm for discrete orthogonal basis restoration

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
$33 $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)
E. B. Moody ; Div. of Nucl. Med., Kentucky Univ., Lexington, KY, USA

Discrete orthogonal basis restoration (DOBR) is a robust method for the inverse solution of linear systems of the type [A][o]=(i), where [A] may be either shift variant or invariant. Presented in this work is the derivation of a frequency-domain DOBR algorithm that significantly improves computational efficiency. Substantial reductions in the number of arithmetic operations are possible when system stationarity allows the use of precalculated DOBR characteristic vector sets, and sampling of the signal is rapid relative to the highest frequency of interest. More modest improvements in computational efficiency (10%-40%) are obtained when the entire DOBR algorithm must be executed. In addition to reducing the number of floating-point operations and storage requirements, the frequency-domain DOBR algorithm lessens the deleterious effects of perturbations in [A] on the inverse solution

Published in:

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing  (Volume:45 ,  Issue: 4 )