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Iterative Reconstructions in Irregular Sampling With Derivatives

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Abstract

Finite energy band-limited functions are reconstructed iteratively from nonuniform sample values of the functions and its derivatives. It is shown that the maximum gap allowed between the sampling points increases linearly with the number of derivatives considered. Moreover, a more precise result is presented for the first derivative case and another reconstruction of the functions using the frame algorithm is deduced.

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Authors and Affiliations

  1. University of Connecticut, Department of Mathematics, U-9, Storrs, Connecticut 06269, USA

    Haja N. Razafinjatovo

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  1. Haja N. Razafinjatovo
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Razafinjatovo, H. Iterative Reconstructions in Irregular Sampling With Derivatives. J Fourier Anal Appl 1, 281–295 (1994). https://doi.org/10.1007/s00041-001-4013-8

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  • DOI: https://doi.org/10.1007/s00041-001-4013-8

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