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Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 153))

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Abstract

One of the main steps for designing digital filters is the problem for approximation of the amplitude-frequency characteristic of the filter. As a rule it is necessary to approximate a functions with jumps (step function) by means of polynomials or rational functions. There exist many approaches for solving that problem under different restrictions and the nature of the problem shows that the Hausdorff distance between the functions is a suitable metric as a criterion.

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References

  1. Bl. Sendov. Approximation of functions in Hausdorff metric by means of algebraic polynomials. Ann. de l’Univer. de Sofia, Fac. des Math., vol. 55, 1960/1961, 1–39 (Bulgarian).

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© 1987 Springer-Verlag Berlin Heidelberg

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Andreev, A. (1987). Hausdorff Distance and Digital Filters. In: Meyer-Ebrecht, D. (eds) ASST ’87 6. Aachener Symposium für Signaltheorie. Informatik-Fachberichte, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73015-3_72

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  • DOI: https://doi.org/10.1007/978-3-642-73015-3_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18401-0

  • Online ISBN: 978-3-642-73015-3

  • eBook Packages: Springer Book Archive

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