The $S$-Transform From a Wavelet Point of View
| Autor: | J.J. Danobeitia, Martin Schimmel, Carine Simon, Sergi Ventosa, Antoni Mànuel |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Discrete wavelet transform
Mathematical optimization Second-generation wavelet transform Stationary wavelet transform Wavelet transform S-transform Wavelet packet decomposition Time-frequency analysis Wavelet Signal Processing Electrical and Electronic Engineering Harmonic wavelet transform S transform Algorithm Mathematics |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| ISSN: | 1053-587X |
| DOI: | 10.1109/tsp.2008.917029 |
| Popis: | —The -transform is becoming popular for time-frequency analysis and data-adaptive filtering thanks to its simplicity. While this transform works well in the continuous domain, its discrete version may fail to achieve accurate results. This paper compares and contrasts this transform with the better known continuous wavelet transform, and defines a relation between both. This connection allows a better understanding of the -transform, and makes it possible to employ the wavelet reconstruction formula as a new inverse -transform and to propose several methods to solve some of the main limitations of the discrete -transform, such as its restriction to linear frequency sampling. This work was supported by the projects SigSensual ref. CTM2004-04510-C03-02 and NEAREST CE-037110. The work of M. Schimmel was supported through the Ramon y Cajal and the Consolider-Ingenio 2010 Nr. CSD2006-00041 program. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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