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Contraction, Smoothness, and Low-Pass Filtering

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Title: Contraction, Smoothness, and Low-Pass Filtering
Author: Khojastepour, Mohammad; Aazhang, Behnaam; Baraniuk, Richard G.
Type: Conference Paper
Citation: M. Khojastepour, B. Aazhang and R. G. Baraniuk,"Contraction, Smoothness, and Low-Pass Filtering," in IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),, pp. 897-900.
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.
Date Published: 2004-05-01

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  • ECE Publications [1043 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.