Filter functions with exponential convergence order

Denk, Robert

Filter functions with exponential convergence order

Files

Filter_functions_with_exponential_convergence_order.pdf(160.89 KB)

Date

1994

Publication type

Journal article

Published in

Mathematische Nachrichten ; 169 (1994), 1. - pp. 107-115

Abstract

Oversampled functions can be evaluated using generalized sinc-series and filter functions connected with these series. First we consider a standard filter defined by terms of the exponential function . We show that the Fourier transform of this filter posseses exponential convergence order where in the exponent the square root of the independent variable appears. This improves an estimate given in a paper of F. Natterer. Moreover, we define a more general family of filter functions with exponential convergence order where now in the exponent the power of the independent variable is arbitrary close to 1.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

DENK, Robert, 1994. Filter functions with exponential convergence order. In: Mathematische Nachrichten. 169(1), pp. 107-115

BibTex

@article{Denk1994Filte-643,
  year={1994},
  title={Filter functions with exponential convergence order},
  number={1},
  volume={169},
  journal={Mathematische Nachrichten},
  pages={107--115},
  author={Denk, Robert}
}

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