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Applications of Wavelets to the Analysis of Transient Signals

  • Chapter
Wavelets and Subbands

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

In the first two parts of this book, we have described some of the mathematical tools that can be used to analyze a transient signal. In particular, we have focused to two aspects of signal analysis:

  • • Continuous wavelet transform and wavelet frames. In this case, the emphasis was on describing a signal in terms of time and frequency evolution, at a cost of creating a redundancy in the representation.

  • • Fast wavelet transform and subband transform. In this case, a minimal representation of the signal is obtained to fulfill requirements such as compression, multirate processing, and noise robustness.

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Author information

Authors and Affiliations

  1. Panametrics, Inc., 221 Crescent Street, Waltham, MA, 02453, USA

    Agostino Abbate

  2. Department of Electrical Computer Engineering, University of California, San Diego La Jolla, CA, 92093, USA

    Casimer M. DeCusatis

  3. Department HHLA, IBM Corporation, 522 South Road, Poughkeepsie, NY, 12601, USA

    Pankaj K. Das

Authors
  1. Agostino Abbate
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  2. Casimer M. DeCusatis
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  3. Pankaj K. Das
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Abbate, A., DeCusatis, C.M., Das, P.K. (2002). Applications of Wavelets to the Analysis of Transient Signals. In: Wavelets and Subbands. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0113-7_7

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  • DOI: https://doi.org/10.1007/978-1-4612-0113-7_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6618-1

  • Online ISBN: 978-1-4612-0113-7

  • eBook Packages: Springer Book Archive

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