A new approach to the time-sequential sampling problem

N. Parker Willis, Yoram Bresler

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

Abstract

Sampling of signals that vary in time and have one or more spatial dimensions is studied for constrained sampling sets. The constraint imposed is that only one spatial sample can be taken at a given time, hence the name time-sequential sampling. Allebach has shown previously that the amount of aliasing error is not only a function of the sampling rates, but is also strongly dependent on the order in which spatial sample points are taken. A new design technique for finding optimal sampling patterns that minimize the sampling rates and produce zero aliasing error is developed by viewing time-sequential sampling as a specialized case of generalized two-dimensional sampling. New lower bounds for sampling rates required to produce zero aliasing error are given. These bounds are then used as a stopping criteria for the aforementioned design technique. Theorems are given which state conditions under which the design problem reduces to a general two-dimensional sampling problem.

Original languageEnglish (US)
Title of host publicationICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages277-280
Number of pages4
Volume3
ISBN (Electronic)0780305329
DOIs
StatePublished - 1992
Event1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States
Duration: Mar 23 1992Mar 26 1992

Other

Other1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
CountryUnited States
CitySan Francisco
Period3/23/923/26/92

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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    Parker Willis, N., & Bresler, Y. (1992). A new approach to the time-sequential sampling problem. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing (Vol. 3, pp. 277-280). [226197] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.1992.226197