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Circuits, Systems and Signal Processing

, Volume 13, Issue 1, pp 65–75 | Cite as

Design of 2D FIR digital filters with flatness constraints for the error function

  • Rudolf Rabenstein
Article

Abstract

A method will be presented for the approximation of a desired two-dimensional frequency response by the frequency response of a two-dimensional finite-impulse-response digital filter. It is possible to match the functional values and an arbitrary number of derivatives of both responses for zero frequency, thus making the error flat up to a desired degree. Remaining degrees of freedom are used for anL2-approximation. Closed form design formulae will be given.

Keywords

Frequency Response Closed Form Error Function Arbitrary Number Digital Filter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    P. Steffen, On digital smoothing filters: a brief review of closed form solutions and two new filter approaches,Circuits Systems Signal Proc., vol. 5, no. 2, pp. 187–210, 1986.Google Scholar
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    H. W. Schuessler and P. Steffen, Some topics in advanced filter design, J. S. Lim and A. V. Oppenheim (eds.):Advanced Topics in Signal Processing, Englewood Cliffs: Prentice Hall, 1988.Google Scholar
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    R. Rabenstein, Design of FIR digital filters with flatness constraints for the error function, to be published.Google Scholar
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Copyright information

© Birkhäuser 1994

Authors and Affiliations

  • Rudolf Rabenstein
    • 1
  1. 1.Lehrstuhl für NachrichtentechnikUniversität Erlangen-NürnbergErlangenGermany

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