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

Takafumi Shimizu, Seisuke Kyochi, Masaaki Ikehara

    研究成果: Conference contribution

    2 引用 (Scopus)

    抜粋

    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.

    元の言語English
    ホスト出版物のタイトル2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings
    ページ576-581
    ページ数6
    DOI
    出版物ステータスPublished - 2009 4 8
    イベント2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009 - Marco Island, FL, United States
    継続期間: 2009 1 42009 1 7

    出版物シリーズ

    名前2009 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
    United States
    Marco Island, FL
    期間09/1/409/1/7

    ASJC Scopus subject areas

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

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  • これを引用

    Shimizu, T., Kyochi, S., & Ikehara, M. (2009). A design of dual-tree complex wavelet transform based on least squares method. : 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