We analyze in this paper some basic properties of two-window spectrograms, introduced in a previous work. This is achieved by the analysis of their kernel, in view of their immersion in the Cohen class of time-frequency representations. Further we introduce weighted averages of two-window spectrograms depending on varying window functions. We show that these new integrated representations improve some features of both the classical Rihaczek representation and the two-window spectrogram which in turns can be viewed as limit cases of them.

Two-window Spectrograms and their Integrals

BOGGIATTO, Paolo;DE DONNO, Giuseppe;OLIARO, Alessandro
2009-01-01

Abstract

We analyze in this paper some basic properties of two-window spectrograms, introduced in a previous work. This is achieved by the analysis of their kernel, in view of their immersion in the Cohen class of time-frequency representations. Further we introduce weighted averages of two-window spectrograms depending on varying window functions. We show that these new integrated representations improve some features of both the classical Rihaczek representation and the two-window spectrogram which in turns can be viewed as limit cases of them.
2009
International Workshop on Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Toronto, Canada, York University
August 4–8, 2008
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Birkäuser
205
251
268
9783034601979
Time-Frequency representation; two-window Spectrogram; Rihaczek representation.
P. Boggiatto; G. De Donno; A. Oliaro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/64311
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