Abstract
We present a general method for calculating relevant moments of the wavelet transform.Explicit results are given for the time, frequency, and scale moments.Using the results obtained, we show that the wavelet transform has unique characteristics that are not possessed by other methods.We discuss whether these unusual characteristics are physically or mathematically important.Exactly solvable examples are given, and the results are contrasted to those of the standard methods such as the spectrogram and the Wigner distribution.
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Cohen, L. (2003). The Wavelet Transform and Time-Frequency Analysis. In: Debnath, L. (eds) Wavelets and Signal Processing. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0025-3_1
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DOI: https://doi.org/10.1007/978-1-4612-0025-3_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6578-8
Online ISBN: 978-1-4612-0025-3
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