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    Orthogonal Hilbert Transform Filter Banks and Wavelets

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    Author
    van Spaendonck, Rutger; Blu, Thierry; Baraniuk, Richard G.; Vetterli, Martin
    Date
    2006-06-06
    Abstract
    Complex wavelet transforms offer the opportunity to perform directional and coherent processing based on the local magnitude and phase of signals and images. Although denoising, segmentation, and image enhancement are significantly improved using complex wavelets, the redundancy of most current transforms hinders their application in compression and related problems. In this paper we introduce a new orthonormal complex wavelet transform with no redundancy for both real- and complex-valued signals. The transform's filter bank features a real low pass filter and two complex high pass filters arranged in a critically sampled three-band structure. Placing symmetry and orthogonality constraints on these filters, we find that each high-pass filter can be factored into a real high pass filter followed by an approximate Hilbert transform filter.
    Description
    Conference Paper
    Citation
    R. van Spaendonck, T. Blu, R. G. Baraniuk and M. Vetterli, "Orthogonal Hilbert Transform Filter Banks and Wavelets," vol. 6, 2003.
    Published Version
    http://dx.doi.org/10.1109/ICASSP.2003.1201729
    Keyword
    DSP for Communications
    Type
    Conference paper
    Citable link to this page
    https://hdl.handle.net/1911/20402
    Metadata
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    • DSP Publications [508]
    • ECE Publications [1468]

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    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map