Synchrosqueezed curvelet transform for two-dimensional mode decomposition (Q2878992)
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scientific article; zbMATH DE number 6340704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Synchrosqueezed curvelet transform for two-dimensional mode decomposition |
scientific article; zbMATH DE number 6340704 |
Statements
5 September 2014
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curvelet transform
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synchrosqueezing
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banded wave-like components
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phase space representation
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mode decomposition
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well-separated wave-vectors
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Synchrosqueezed curvelet transform for two-dimensional mode decomposition (English)
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In some applications, a 2-dimensional signal is a superposition of several banded wave-like components, and it is required to separate these components. In this paper, the authors introduce the so-called synchrosqueezed curvelet transform (SSCT) as an optimal tool to estimate local, well-separated wave-vectors of banded wave-like components. The SSCT consists of a generalized curvelet transform with geometric scaling parameters, and a synchrosqueezing technique for a sharpened phase space representation. A discrete analogue of SSCT and a corresponding fast algorithm are presented too. Numerical examples with synthetic and real data demonstrate the performance of SSCT.
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