For representations in the Cohen class, specific Cohen kernels depending only on one half of the variables are showed to produce two types of representations which can in a natural way be associated with time and frequency windows. This leads to the definition of representations with no interference for signals whose time-frequency content is confined in specific zones. We prove the main properties of these representations in the context of the Cohen class. We study then uncertainty principles at first in connection with support compactness and then in the framework of a general concept of duality among representations.

Windowed - Wigner representations in the Cohen class and uncertainty principles

BOGGIATTO, Paolo;CARYPIS, EVANTHIA;OLIARO, Alessandro
2013-01-01

Abstract

For representations in the Cohen class, specific Cohen kernels depending only on one half of the variables are showed to produce two types of representations which can in a natural way be associated with time and frequency windows. This leads to the definition of representations with no interference for signals whose time-frequency content is confined in specific zones. We prove the main properties of these representations in the context of the Cohen class. We study then uncertainty principles at first in connection with support compactness and then in the framework of a general concept of duality among representations.
2013
23
4
1753
1779
Time-Frequency representations; Wigner sesquilinear and quadratic form; interference; uncertainty principle
P. Boggiatto; E. Carypis; A. Oliaro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/98287
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