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Circuits, Systems, and Signal Processing

, Volume 36, Issue 11, pp 4441–4452 | Cite as

On the Design of Arbitrary Shape Two-Channel Filter Bank Using Eigenfilter Approach

  • Swati P. MadheEmail author
  • Bhushan D. Patil
  • Raghunath S. Holambe
Article

Abstract

In our paper, we have extended an eigenfilter-based approach for the design of arbitrary shape two-channel filter bank. The method is based on designing arbitrary shape analysis filter, followed by the design of complementary arbitrary shape synthesis filter. In eigenfilter designing, eigenvector is computed corresponding to the minimum eigenvalue of a real, symmetric and positive-definite matrix. In our case, this matrix is formulated using the combination of pass-band and stop-band errors between frequency response of desired and designed arbitrary shape filters. After designing the arbitrary shape analysis filter, same is used in perfect-reconstruction constraint, for the design of complementary arbitrary shape synthesis filter. The length of this arbitrary shape synthesis filter should satisfy certain condition depending on the length of the pre-designed arbitrary shape analysis filter. This ensures the existence of the solution for the complementary arbitrary shape synthesis filter. We have demonstrated the usefulness of this method in designing the arbitrary shapes such as, differentiator, integrator and comb shape.

Keywords

Arbitrary shape filter bank Eigenfilter Perfect reconstruction Pass-band error Stop-band error 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  • Swati P. Madhe
    • 1
    Email author
  • Bhushan D. Patil
    • 2
  • Raghunath S. Holambe
    • 3
  1. 1.Cummins College of EngineeringPuneIndia
  2. 2.BangaloreIndia
  3. 3.SGGS Institute of Engineering and TechnologyNandedIndia

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