A design of dual-tree complex wavelet transform based on least squares method

Takafumi Shimizu, Seisuke Kyochi, Masaaki Ikehara

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 Citations (Scopus)

    Abstract

    In this paper, a novel design of dual-tree complex wavelet transform based on least squares method is proposed. An effective design method based on allpass filter with FIR has proposed by Selesnick. However, this method holds two problems. First, optimal frequency characteristic cannot be realized due to the restriction of design parameters. Second, approximation of the half sample delay condition is restricted on low frequency. The proposed method can achieve the high design degrees of freedom by using least squares method. It is shown that the method can design more effective dual-tree complex wavelet transform than conventional one, in terms of sharpness of frequency characteristic and accuracy of half sample delay condition, directionality and shift-invariance, by simulations. In the end of this paper, the performance of DTCWT designed by the proposed method for practical application, image denoising, is demonstrated. The proposed method outperforms the conventional method.

    Original languageEnglish
    Title of host publication2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings
    Pages576-581
    Number of pages6
    DOIs
    Publication statusPublished - 2009 Apr 8
    Event2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009 - Marco Island, FL, United States
    Duration: 2009 Jan 42009 Jan 7

    Publication series

    Name2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings

    Other

    Other2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009
    CountryUnited States
    CityMarco Island, FL
    Period09/1/409/1/7

    Keywords

    • Directionality
    • Dual-tree complex wavelet transform
    • Half sample delay condition
    • Least squares method
    • Shift invariance

    ASJC Scopus subject areas

    • Computer Networks and Communications
    • Signal Processing
    • Electrical and Electronic Engineering

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  • Cite this

    Shimizu, T., Kyochi, S., & Ikehara, M. (2009). A design of dual-tree complex wavelet transform based on least squares method. In 2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings (pp. 576-581). [4785989] (2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings). https://doi.org/10.1109/DSP.2009.4785989