Upper bounds on aliasing error energy for multidimensional sampling of nonbandlimited signals

Behzad Sharif, Yoram Bresler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present upper bounds on the 2-norm of the aliasing error in multidimensional Shannon sampling. Our bounds complement the previously known 1-norm upper bounds for the peak aliasing error. The proposed bounds provide a good estimate of the total error energy for any signal, rather than just for certain pathological extremals, as is the case with the 1-norm bounds which, as a result, tend to be too conservative for practical applications. The sampling representation is general, possibly multiband, and not restricted to bandlimited signals. Error bounds are phrased in terms of the energy of signal components that lie outside the assumed band-region. Therefore, they are easy to interpret and compute as is demonstrated for two practical signal classes, namely signals with exponential or polynomial out-of-band decay.

Original languageEnglish (US)
Title of host publication2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
Pages3717-3720
Number of pages4
DOIs
StatePublished - Sep 16 2008
Event2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP - Las Vegas, NV, United States
Duration: Mar 31 2008Apr 4 2008

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Other

Other2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
CountryUnited States
CityLas Vegas, NV
Period3/31/084/4/08

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Keywords

  • Aliasing error
  • Error energy
  • Multidimensional
  • Nonbandlimited
  • Shannon sampling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

Sharif, B., & Bresler, Y. (2008). Upper bounds on aliasing error energy for multidimensional sampling of nonbandlimited signals. In 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP (pp. 3717-3720). [4518460] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2008.4518460