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Perfect reconstruction two-channel linear phase quadrature-mirror filter (QMF) bank using Kekre's transform matrix

Published: 25 February 2011 Publication History
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  • Abstract

    This paper describes a two channel linear phase quadrature mirror filter bank using Kekre's matrix. It has been derived mathematically that the rows of the Kekre's second order matrix satisfies the conditions for perfect reconstruction. The filters obtained from the Kekre's matrix satisfies the aliasing cancellation conditions and the distortion transfer function is a all pass filter with linear phase response. It is shown that when a sampled speech signal is passed through the filter the signal experiences a one sample delay without any change in amplitude.

    References

    [1]
    D. Esteban and C. Galand, "Application of quadrature mirror filters to splitband voice coding scheme"' IEEE ICASSP 77, May 1977.
    [2]
    Ju-Hong Lee, Tz-Chou Jung, "Linear-phase quadrature mirror filters with coefficients -1, 0 and +1", Elsevier, Signal Processing, 1997
    [3]
    P. P. Vaidyanathan, "On power-complementary FIR filters", IEEETrans. On Circuits and Systems, December 1985.
    [4]
    S. K. Mitra, "Digital signal processing: A computer based approach," Tata McGraw Hill Edition, 2006.
    [5]
    H. B. Kekre, Archan Athawale, Dipali Sadavarti, Algorithm to Generate Kekre's Wavelet Transform from Kekre's Transform, IJSET, June 2010
    [6]
    Smith, Julius O. Spectral Audio Signal Processing, October 2008 Draft, http://ccrma.stanford.edu/~jos/sasp/, online book, accessed 30<sup>th</sup>, October 2010.
    [7]
    }S. C. Chan, C. K. S. Pun and K. L. Ho, "New design and realization techniques for a class of perfect reconstruction
    [8]
    two-channel FIR filter banks and wavelet bases," IEEE Transactions Signal Processing, vol. 52, No. 7, pp. 2135--2141, 2004.

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    1. Perfect reconstruction two-channel linear phase quadrature-mirror filter (QMF) bank using Kekre's transform matrix

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      cover image ACM Other conferences
      ICWET '11: Proceedings of the International Conference & Workshop on Emerging Trends in Technology
      February 2011
      1385 pages
      ISBN:9781450304498
      DOI:10.1145/1980022
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      • Thakur College Of Engg. & Tech: Thakur College Of Engineering & Technology

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      New York, NY, United States

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      Published: 25 February 2011

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      Author Tags

      1. QMF
      2. kekre's transform
      3. reconstruction

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