THE CONTINUOUS WAVELET TRANSFORM: MOVING BEYOND UNI- AND BIVARIATE ANALYSIS
THE CONTINUOUS WAVELET TRANSFORM: MOVING BEYOND UNI- AND BIVARIATE ANALYSIS
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DOI：
10.1111/joes.12012
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发表时间：
2014-04-01
影响因子：
5.3
通讯作者：
Soares, Maria Joana
中科院分区：
文献类型：
--
作者：
Aguiar-Conraria, Luis;Soares, Maria Joana
使用连续小波变换的大量工作一直在增加。我们提供了一个自包含的总结，其最相关的理论成果，描述如何在实践中可以实现这样的变换，并概括了简单的相干性的概念，部分小波相干性和多小波相干性，超越双变量分析。我们还描述了一个家庭的小波，它出现作为一种替代流行的Morlet小波，广义莫尔斯小波。本文件附有一个方便用户的工具箱，并附有实例。
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 family of wavelets, which emerges as an alternative to the popular Morlet wavelet, the generalized Morse wavelets. A user-friendly toolbox, with examples, is attached to this paper.