Abstract
The short-time Fourier transform has an easily defined time-domain counterpart: a set of windowed time series, each one corresponding to a specific window position. Considered collectively, these constitute a time-time distribution, since the window position gives a second time variable. Multiresolution time-time distributions can also be defined. The only such distribution that has been investigated thus far, the TT-transform, is the time-domain counterpart of a continuous wavelet transform. In this short paper, we describe a new method of calculating time-time distributions for discrete wavelet transforms, and present two examples.
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Pinnegar, C.R., Khosravani, H., Federico, P. (2009). Time-Time Distributions for Discrete Wavelet Transforms. In: Schulze, BW., Wong, M.W. (eds) Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations. Operator Theory: Advances and Applications, vol 205. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0198-6_16
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DOI: https://doi.org/10.1007/978-3-0346-0198-6_16
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0197-9
Online ISBN: 978-3-0346-0198-6
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