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Liu, W.; Chan, S.C.; Ho, K.L. (2000)
Publisher: IEEE
Languages: English
Types: Other
In this paper, a new family of multiplier-less two-channel low-delay wavelet filter banks using the PR structure in [3] and the SOPOT(sum-of-powers-of-two) representation is proposed. In particular, the functions α(z) and β(z) in the structure are chosen as nonlinear-phase FIR and IIR filters, and the design of such multiplier-less filter banks is performed using the genetic algorithm. The proposed design method is very simple to use, and is sufficiently general to construct low-delay wavelet bases with flexible length, delay, and number of zero at π (or 0) in their analysis filters. Several design examples are given to demonstrate the usefulness of the proposed method.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] P. P. Vaidyanathan, Multirate systems and filter banks. Englewood Cliffs, NJ: Prentice Hall, 1992.
    • [2] C.Sidney Burrus, Ramesh A.Gopinath, and Haitao Guo. “Introduction to wavelets and wavelet transforms”. Prentice Hall, 1998.
    • [3] S. M. Phoong, C. W. Kim and P. P. Vaidyanathan, “A new class of two-channel biothogonal filter banks and wavelet bases”, IEEE Trans. SP, Vol.43, No. 3, pp.649-664, March 1995.
    • [4] I. Daubechies, “ Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math., Nov. 1988, Vol. 41, pp. 909-996 6 x 10-5 -2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Scaling Function 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 W avelet Function 1 -6 0 0 1 0 0 -1 0 -2 0 -3 0 -4 0 -5 0 -6 0 -7 0 -8 0 -9 0 0 Fig. 5. . Frequency responses(dB) of analysis filters in Example 4.3.
    • Fig. 3. Frequency responses(dB) of analysis filters in Example 4.1.
    • Fig. 6. Wavelet filter banks in Example 4.4. (a) Frequency responses(dB) ~ of analysis filters, (b) scaling and wavelet functions (K=3, K =1).
  • No related research data.
  • Discovered through pilot similarity algorithms. Send us your feedback.

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