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A Hybrid system for the reconstruction of a smooth function from its samples

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Abstract

The long-standing problem of reconstructing a function from its samples is considered again. Assuming a sequence of oversampled values, a set of appropriate idealized reconstruction filters can be defined, which do not suffer from instability or slow convergence. The realization — a cascade of a nonrecursive digital filter, D/A-converter, and a fixed/analog smoothing filter — demands the design of the digital filter for the increase of the sampling rate. The design of this nonrecursive filter is the purpose of this paper. Approximations in the frequency as well as in the time domain are presented.

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Authors and Affiliations

  1. Institut fur Nachrichtentechnik, Universität Erlangen-Nürnberg, Cauerstrasse 7, D-852, Erlangen, Germany

    H. W. Schüssler & P. Steffen

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  1. H. W. Schüssler
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  2. P. Steffen
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Schüssler, H.W., Steffen, P. A Hybrid system for the reconstruction of a smooth function from its samples. Circuits Systems and Signal Process 3, 295–314 (1984). https://doi.org/10.1007/BF01599078

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  • DOI: https://doi.org/10.1007/BF01599078

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