In this paper we consider a version of the uncertainty principle concerning limitations on the supports of time-frequency representations in the Cohen class. In particular we obtain various classes of kernels with the property that the corresponding representations of non trivial signals cannot be compactly supported. As an application of our results we show that a linear partial differential operator applied to the Wigner distribution of a function f≠0 in the Schwartz class cannot produce a compactly supported function

Supports of Representations in the Cohen Class

BOGGIATTO, Paolo;
2011-01-01

Abstract

In this paper we consider a version of the uncertainty principle concerning limitations on the supports of time-frequency representations in the Cohen class. In particular we obtain various classes of kernels with the property that the corresponding representations of non trivial signals cannot be compactly supported. As an application of our results we show that a linear partial differential operator applied to the Wigner distribution of a function f≠0 in the Schwartz class cannot produce a compactly supported function
2011
Volume 17, Number 6
1180
1197
P. Boggiatto; C. Fernandez; A. Galbis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/94800
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