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math.FA2021
Existence of Uncertainty Minimizers for the Continuous Wavelet Transform
Simon Halvdansson, Jan-Fredrik Olsen, Nir Sochen +1
Continuous wavelet design is the endeavor to construct mother wavelets with desirable properties for the continuous wavelet transform (CWT). One class of methods for choosing a mot…
math.FA2021
Wavelet Design with Optimally Localized Ambiguity Function: a Variational Approach
Ron Levie, Efrat Krimer Avraham, Nir Sochen
In this paper, we design mother wavelets for the 1D continuous wavelet transform with some optimality properties. An optimal mother wavelet here is one that has an ambiguity functi…