EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Sampling Periodic Polynomials


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

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

A Sampling Theorem for Periodic Piecewise Polynomial Signals

M. Vetterli, P. Marziliano, T. Blu

Proceedings of the Twenty-Sixth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'01), Salt Lake City UT, USA, May 7-11, 2001, vol. 6, pp. 3893-3896.



We consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomials. We demonstrate that by using an adequate sampling kernel and a sampling rate greater or equal to the number of degrees of freedom per unit of time, one can uniquely reconstruct such signals. This proves a sampling theorem for a wide class of signals beyond bandlimited signals. Applications of this sampling theorem can be found in signal processing, communication systems and biological systems.


@INPROCEEDINGS(http://bigwww.epfl.ch/publications/vetterli0102.html,
AUTHOR="Vetterli, M. and Marziliano, P. and Blu, T.",
TITLE="A Sampling Theorem for Periodic Piecewise Polynomial Signals",
BOOKTITLE="Proceedings of the Twenty-Sixth {IEEE} International
        Conference on Acoustics, Speech, and Signal Processing
        ({ICASSP'01})",
YEAR="2001",
editor="",
volume="6",
series="",
pages="3893--3896",
address="Salt Lake City UT, USA",
month="May 7-11,",
organization="",
publisher="",
note="")

© 2001 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.