EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Interpolation and Resampling


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

On Interpolation and Resampling of Discrete Data

P.D. Tafti, S. Shirani, X. Wu

IEEE Signal Processing Letters, vol. 13, no. 12, pp. 733-736, December 2006.



This letter introduces a new representation of discrete signals based on the mathematical notions of functionals and continuous dual spaces. A new and more general sampling theorem is also suggested. Next, the problems of interpolating and resampling discrete signals are addressed; and a general solution using functional interpolation—which is applicable to many different settings—is proposed. Families of resampling filters dubbed de Boor-Ron filters that use de Boor-Ron interpolation are introduced, and their numerical realization is discussed. Some applications of this research are suggested.


@ARTICLE(http://bigwww.epfl.ch/publications/tafti0601.html,
AUTHOR="Tafti, P.D. and Shirani, S. and Wu, X.",
TITLE="On Interpolation and Resampling of Discrete Data",
JOURNAL="{IEEE} Signal Processing Letters",
YEAR="2006",
volume="13",
number="12",
pages="733--736",
month="December",
note="")

© 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.