BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Sampling Discrete-Time Piecewise Bandlimited Signals

M. Vetterli, P. Marziliano, T. Blu

Proceedings of the Fourth International Conference on Sampling Theory and Applications (SampTA'01), Orlando FL, USA, May 13-17, 2001, pp. 97–102.

We consider sampling discrete-time periodic signals which are piecewise bandlimited, that is, a signal that is the sum of a bandlimited signal with a piecewise polynomial signal containing a finite number of transitions. These signals are not bandlimited and thus the Shannon—also due to Kotelnikov, Whittaker—sampling theorem for bandlimited signals can not be applied. In this paper, we derive sampling and reconstruction schemes based on those developed in [1, 2, 3] for piecewise polynomial signals which take into account the extra degrees of freedom due to the bandlimitedness.

References

  1. P. Marziliano, Sampling Innovations, PhD. Thesis, Swiss Federal Institute of Technology Lausanne, Audio-Visual Communications Laboratory DSC, CH-1015 Lausanne EPFL, Switzerland, April 2001.

  2. M. Vetterli, P. Marziliano, T. Blu, "A Sampling Theorem for Periodic Piecewise Polynomial Signals," 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.

  3. M. Vetterli, P. Marziliano, T. Blu, "Sampling Signals with Finite Rate of Innovation," IEEE Transactions on Signal Processing, vol. 50, no. 6, pp. 1417-1428, June 2002. 

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/vetterli0101.html,
AUTHOR="Vetterli, M. and Marziliano, P. and Blu, T.",
TITLE="Sampling Discrete-Time Piecewise Bandlimited Signals",
BOOKTITLE="Proceedings of the Fourth International Conference on
	Sampling Theory and Applications ({SampTA'01})",
YEAR="2001",
editor="",
volume="",
series="",
pages="97--102",
address="Orlando FL, USA",
month="May 13-17,",
organization="",
publisher="",
note="")
© 2001 SampTA. 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 SampTA. 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.