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    Contraction, Smoothness, and Low-Pass Filtering

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    Author
    Khojastepour, Mohammad; Aazhang, Behnaam; Baraniuk, Richard G.
    Date
    2006-06-06
    Abstract
    We introduce a generalized definition for "low-pass" filters that covers time-varying and nonlinear systems under the same umbrella. We show that the qualitative concept of signal smoothing can be made precise through the concept of contractions in probabilistic metric spaces. For illustration, we consider classical linear time-invariant low-pass filters, nonlinear median filters, and time-varying guaranteed maximum delay schedulers employed in communication systems.
    Description
    Conference Paper
    Citation
    M. Khojastepour, B. Aazhang and R. G. Baraniuk, "Contraction, Smoothness, and Low-Pass Filtering," vol. 2, 2004.
    Published Version
    http://dx.doi.org/10.1109/ICASSP.2004.1326403
    Keyword
    DSP for Communications
    Type
    Conference paper
    Citable link to this page
    https://hdl.handle.net/1911/20020
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    • DSP Publications [508]
    • ECE Publications [1443]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
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    Site Map