Theory of the optimum discrete running approximation of multi-dimensional approximately band-limited signals

  • Authors:

  • Yuichi Kida;Takuro Kida

  • Affiliations:

  • The School of Pharmaceutical Sciences, Ohu University and Tokyo Institute of Technology and Nihon University;The School of Pharmaceutical Sciences, Ohu University and Tokyo Institute of Technology and Nihon University

  • Venue:
  • DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
  • Year:
  • 2009

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Abstract

In this paper, we present an n-dimensional running discrete approximation that minimizes various worst-case measures of error, simultaneously. We derive continuous space-limited n-dimensional interpolation-functions satisfying condition that is called discrete orthogonality. Then, we present a set of signals that satisfies two conditions of the optimum approximation.