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Generalized Chebyshev Filters for the Design of IIR Filters and Filter Banks

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Abstract

This paper introduces the generalized IIR Chebyshev filters. The proposed filters are obtained by applying bilinear transformation to the corresponding analog filters. The novelty of the method is the introduction of a new rational Chebyshev function, which includes Chebyshev Type I and Chebyshev Type II IIR filters as special cases. The application of the proposed digital filters to design perfect reconstruction two-channel filter banks is described. The proposed filters can be applied in orthogonal discrete wavelet transform.

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Author information

Authors and Affiliations

  1. School of Computer Engineering, National Polytechnic Institute, ESCOM-IPN, 07738 , Mexico City, Mexico

    Alfonso Fernandez-Vazquez

  2. Electronics Department, National Institute of Astrophysics, Optics and Electronics (INAOE), 72840 , Tonantzintla, Puebla, Mexico

    Gordana Jovanovic Dolecek

Authors
  1. Alfonso Fernandez-Vazquez
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  2. Gordana Jovanovic Dolecek
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Corresponding author

Correspondence to Alfonso Fernandez-Vazquez.

Additional information

The work of Alfonso Fernandez-Vazquez was supported by CONACyT Mexico under Project 157858 and SIP-IPN Project 20130958. The work of Gordana Jovanovic Dolecek was supported by CONACyT Project 179587.

A Matlab Implementation of the Proposed Design Method

A Matlab Implementation of the Proposed Design Method

This appendix shows the Matlab function to compute the filter coefficients of the proposed generalized IIR Chebyshev filters. The function chebyg.m is shown in Table 3.

Table 3 Matlab function to design generalized IIR Chebyshev filters
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Fernandez-Vazquez, A., Dolecek, G.J. Generalized Chebyshev Filters for the Design of IIR Filters and Filter Banks. Circuits Syst Signal Process 33, 2237–2250 (2014). https://doi.org/10.1007/s00034-014-9742-4

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  • DOI: https://doi.org/10.1007/s00034-014-9742-4

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