Title
On the TT-Transform and Its Diagonal Elements
Abstract
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
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.120.47
Martin Schimmel2384.62
J. J. Dañobeitia3121.65