Discretising and filtering with the S-transform and its inverses

Authors:
C. Simon;S. Ventosa;M. Schimmel;J. J. Dañobeitia;A. Mànuel
Affiliations:
Marine Technology Unit, CSIC, Barcelona, Spain;Marine Technology Unit, CSIC, Barcelona, Spain;Institute Jaume Almera, CSIC, Barcelona, Spain;Marine Technology Unit, CSIC, Barcelona, Spain;CTVG, UPC, Vilanova i la Geltrú, Spian
Venue:
SPPR'07 Proceedings of the Fourth conference on IASTED International Conference: Signal Processing, Pattern Recognition, and Applications
Year:
2007

Citing 2
Cited 0

Localization of the complex spectrum: the S transform

IEEE Transactions on Signal Processing
The inverse S-transform in filters with time-frequency localization

IEEE Transactions on Signal Processing

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Abstract

The S-transform is a powerful tool for non stationary signals which allows the visualisation of local spectra. In this communication, we modify the definition of an inverse of the S-transform to make it exact. Then, we study the influence of discretising the S-transform and its inverses. Finally, one of the main interests of the S-transform is the possibility to filter in frequency and time at the same time. We show the different side effects generated by the two existing inverse S-transforms when filtering.