Wavelet transforms for non-stationary signal processing

Research output: Contribution to journalConference article

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Abstract

Signal processing and imaging of biomedical phenomena pose significant challenges, with one dominant issue being that biological processes are usually time varying and non-stationary. Many traditional processing approaches are derived on assumptions of statistical stationarity and linear time-invariant propagation channels, which are not valid assumptions for many biomedical problems. In this paper, continuous wavelet transforms are shown to be appropriate tools for characterizing linear time-varying systems and propagation channels and for processing wideband signals in non-stationary Gaussian noise. Wideband processing of signals allows for the processing to be limited by the scattering object's acceleration versus the more common techniques where the processing is limited by the scattering object's velocity. It is shown that the continuous wavelet transform of the output signal with respect to the input signal provides a correct system characterization for time-varying channels and non-stationary signals. Finally, an approach to removing even the wideband limitation of acceleration is presented. Possible biomedical applications of this approach include bloodflow velocimetry and heart motion monitoring.

Original languageEnglish (US)
Pages (from-to)540-550
Number of pages11
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume3813
Publication statusPublished - Dec 1 1999
EventProceedings of the 1999 Wavelet Applications in Signal and Image Processing VII - Denver, CO, USA
Duration: Jul 19 1999Jul 23 1999

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All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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