Dimensionality-Changing Transformations With Nonrectangular Sampling Strategies

Russell M. Mersereau

doi:10.1117/12.934531

27 February 1984 Dimensionality-Changing Transformations With Nonrectangular Sampling Strategies

Russell M. Mersereau

Author Affiliations +

Proceedings Volume 0373, Transformations in Optical Signal Processing; (1984) https://doi.org/10.1117/12.934531
Event: Transformations in Optical Signal Processing, 1981, Seattle, United States

Abstract

Abstract. This paper is concerned with the use of dimensionality changing transformations for the digital processing of signals that have been sampled on sampling lattices other than the familiar rectangular, or row-column one. After introducing the idea of nonrectangular sampling, the paper formally presents a particularly useful class of dimensionality-changing transformations and presents conditions under which they can be used for signal processing. It does this by means of a vector notation. The major result is that the use of such transformations with nonrectangularly sampled data is no less restrictive, no more difficult, nor substantially different than with rectangularly sampled data.

Citation Download Citation

Russell M. Mersereau, Russell M. Mersereau, } "Dimensionality-Changing Transformations With Nonrectangular Sampling Strategies", Proc. SPIE 0373, Transformations in Optical Signal Processing, (27 February 1984); doi: 10.1117/12.934531; https://doi.org/10.1117/12.934531

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