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math.NA2019★ 40 cited
Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm
Nicki Holighaus, Günther Koliander, Zdenĕk Průša +1
We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new m…
math.NA2018★ 8 cited
Filtering with Wavelet Zeros and Gaussian Analytic Functions
Luis Daniel Abreu, Antti Haimi, Günther Koliander +1
We present the continuous wavelet transform (WT) of white Gaussian noise and establish a connection to the theory of Gaussian analytic functions. Based on this connection, we propo…