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Restoration of lost samples by oversampling near the Nyquist rate

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Abstract

A formula in matrix form for restoration is given and the matrix with the sampling rate near the Nyquist rate is investigated. Elements of this matrix can be expanded in Laurent series of the sampling rate parameter, which is defined by the quotient of the Nyquist rate and the sampling rate. The Nyquist rate corresponds to a pole. First terms of these Laurent series near the Nyquist rate are given.

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Authors and Affiliations

  1. Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, 582-8582, Osaka, Japan

    Ryuichi Ashino

  2. Department of Mathematics and Physics, Faculty of Science and Engineering, Ritsumeikan University, 525-8577, Kusatsu, Japan

    Masaharu Arai

  3. Department of Mathematics, Kyoto Institute of Technology, Matsugasaki, 606-8585, Kyoto, Japan

    Akira Nakaoka

Authors
  1. Ryuichi Ashino
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  2. Masaharu Arai
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  3. Akira Nakaoka
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Corresponding author

Correspondence to Ryuichi Ashino.

Additional information

The second author is partially supported by Grant-in-Aid for Science Research (No. 07640263), The Ministry of Education, Science and Culture, Japan. The third author is partially supported by the same Grant-in-Aid (No. 07640301).

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Ashino, R., Arai, M. & Nakaoka, A. Restoration of lost samples by oversampling near the Nyquist rate. Japan J. Indust. Appl. Math. 16, 123 (1999). https://doi.org/10.1007/BF03167527

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  • DOI: https://doi.org/10.1007/BF03167527

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