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A Novel Approach to the Design of Oversampling Low-Delay Complex-Modulated Filter Bank Pairs

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.

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Correspondence to Thomas Kurbiel.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kurbiel, T., Göckler, H.G. & Alfsmann, D. A Novel Approach to the Design of Oversampling Low-Delay Complex-Modulated Filter Bank Pairs. EURASIP J. Adv. Signal Process. 2009, 692861 (2009). https://doi.org/10.1155/2009/692861

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Keywords

  • Information Technology
  • Frequency Response
  • Quantum Information
  • Design Approach
  • Group Delay