Cart (Loading....) | Create Account
Close category search window
 

Reconstruction and Approximation of Multidimensional Signals Described by Proper Orthogonal Decompositions

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

2 Author(s)
van Belzen, F. ; Eindhoven Univ. of Technol., Eindhoven ; Weiland, S.

This paper considers the problem to reconstruct and approximate multidimensional signals from nonuniformly distributed samples. Using multivariable spectral decompositions of functions in terms of empirical orthonormal basis functions we establish the exact recovery of a signal from its samples provided that the signal is band-limited in a well defined generic sense. The relation to sampling and approximate reconstruction of tensors is indicated. For non-band-limited signals expressions for the alias error are derived. An operator is introduced that reflects the alias sensitivity. The maximum alias sensitivity is characterized as the maximum eigenvalue of a suitably defined tensor operator. Results are illustrated by an example of signal reconstructions from partial measurements of a heat diffusion process.

Published in:

Signal Processing, IEEE Transactions on  (Volume:56 ,  Issue: 2 )

Date of Publication:

Feb. 2008

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.