The continuous wavelet transform : moving beyond uni and bivariate analysis

A body of work using the continuous wavelet transform has been growing. We provide a self- contained summary on its most relevant theoretical results, describe how such transforms can be implemented in practice, and generalize the concept of simple coherency to partial wavelet coherency and multiple...

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Bibliographic Details
Main Author: Conraria, Luís Aguiar (author)
Other Authors: Soares, M. J. (author)
Format: article
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/1822/22788
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/22788
Description
Summary:A body of work using the continuous wavelet transform has been growing. We provide a self- contained summary on its most relevant theoretical results, describe how such transforms can be implemented in practice, and generalize the concept of simple coherency to partial wavelet coherency and multiple wavelet coherency, moving beyond bivariate analysis. We also describe a new family of wavelets, the generalized Morse wavelets, which have some desirable properties. A user-friendly toolbox, with examples, is attached to this paper.