A novel approach to the design of oversampling low-delay complex-modulated filter bank pairs

  • Authors:
  • Thomas Kurbiel;Heinz G. Göckler;Daniel Alfsmann

  • Affiliations:
  • Digital Signal Processing Group, Ruhr-Universität Bochum, Bochum, Germany;Digital Signal Processing Group, Ruhr-Universität Bochum, Bochum, Germany;Digital Signal Processing Group, Ruhr-Universität Bochum, Bochum, Germany

  • Venue:
  • EURASIP Journal on Advances in Signal Processing - Special issue on digital signal processing for hearing instruments
  • Year:
  • 2009

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Abstract

In this contribution we present a method to design prototype filters of oversampling uniform complex-modulated FIR filter bank pairs. Especially, we present a noniterative two-step procedure: (i) design of analysis prototype filter with minimum group delay and approximately linear-phase frequency response in the passband and the transition band and (ii) Design of synthesis prototype filter such that the filter bank pairs distortion function approximates a linear-phase allpass function. Both aliasing and imaging are controlled by introducing sophisticated stopband constraints in both steps. Moreover, we investigate the delay properties of oversampling uniform complex-modulated FIR filter bank pairs in order to achieve the lowest possible filter bank delay. An illustrative design example demonstrates the potential of the design approach.