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Chebyshev Functions-Based New Designs of Halfband Low/Highpass Quasi-Equiripple FIR Digital Filters

Abstract

Chebyshev functions, which are equiripple in a certain domain, are used to generate equiripple halfband lowpass frequency responses. Inverse Fourier transformation is then used to obtain explicit formulas for the corresponding impulse responses. The halfband lowpass FIR digital filters designed in this way are quasi-equiripple, having performances very close to those of true equiripple filters, and are comparatively much simpler to design.

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Correspondence to Ishtiaq Rasool Khan.

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Khan, I.R., Ohba, R. Chebyshev Functions-Based New Designs of Halfband Low/Highpass Quasi-Equiripple FIR Digital Filters. EURASIP J. Adv. Signal Process. 2003, 573241 (2003). https://doi.org/10.1155/S1110865703211148

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Keywords

  • digital filters
  • FIR
  • halfband
  • equiripple
  • Chebyshev functions