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A Direct Interpolation Method for Irregular Sampling

✍ Scribed by Kristin M. Flornes; Yurii Lyubarskii; Kristian Seip

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
104 KB
Volume
7
Category
Article
ISSN
1063-5203

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✦ Synopsis

In this paper, band-limited functions are reconstructed from their values taken at a sequence of irregularly spaced sample points. We use a modified Lagrange formula, which is attributed to Boas and Bernstein. The formula used in this paper differs from the classical Boas-Bernstein formula in the following way. Instead of using infinite canonical products with respect to the whole sequence of sample points, we use canonical products with respect to sequences of sample points which are irregularly spaced only on finite intervals. Estimates for the truncation error of this reconstruction method are given.

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