Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 32 (1) , 53-67
- https://doi.org/10.1080/00036818908839838
Abstract
The major aim is to establish a nonuniform sampling theorem for two-dimensional functions bandlimited to a parallelogram centered at the origin by an iterative application of one-dimensional expansion formulae. For this purpose results on bandlimited square integrable functions are given, and an inequality of S.M. Nikol'skii for samples taken at equally spaced nodes is generalized to the nonuniform case. A first version of the desired sampling theorem is derived here; the main ones follow in Part IIKeywords
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