Abstract | ||
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The TT-transform stands for time-time transform and has been derived as an inverse Fourier transform of the time-frequency S-transform. Up to date, only the diagonal of the TT-transform has been used for signal characterization. We show here an alternative and simplified derivation of the TT-transform which enables a better understanding of this transform. In particular, we demonstrate that the diagonal elements of the TT-transform represent a simple frequency filtered version of the original signal and, thus, that little additional information is gained through the TT-transform. |
Year | DOI | Venue |
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2008 | 10.1109/TSP.2008.929670 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
Fourier transforms,filtering theory,TT-transform,inverse Fourier transform,signal characterization,time-frequency S-transform,time-time transform,$S$-transform,Local Spectra,Local spectra,S-transform,TT-transform,Time-Frequency Localization,Time-Time Analysis,Time-Varying Filters,time–time analysis,time-frequency localization,time-varying filters | Diagonal,Signal processing,Short-time Fourier transform,Algorithm,Fourier transform,Time–frequency analysis,S transform,Fractional Fourier transform,Filtering theory,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 11 | 1053-587X |
Citations | PageRank | References |
2 | 0.47 | 4 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Simon, C. | 1 | 2 | 0.47 |
Martin Schimmel | 2 | 38 | 4.62 |
J. J. Dañobeitia | 3 | 12 | 1.65 |