Uncertainty principle, positivity and L p -boundedness for generalized spectrograms

In this paper we are concerned with the properties of positivity, uncertainty principle and continuity in L p spaces of a generalized spectrogram. In particular we study the connections of a generalized spectrogram, as a subclass of the Cohen class, with the Rihaczek and the Wigner representations....

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 335; no. 1; pp. 93 - 112
Main Authors Boggiatto, P., De Donno, G., Oliaro, A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.11.2007
Subjects
Quadratic representations
Rihaczek representation
Short-time Fourier transform
Spectrogram
Wigner representation
Wigner representation
Quadratic representations
Rihaczek representation
Spectrogram
Short-time Fourier transform
Online AccessGet full text

Cover

More Information
Summary:In this paper we are concerned with the properties of positivity, uncertainty principle and continuity in L p spaces of a generalized spectrogram. In particular we study the connections of a generalized spectrogram, as a subclass of the Cohen class, with the Rihaczek and the Wigner representations. We also consider the behavior of the generalized spectrogram with respect to the positivity and the L p boundedness of the corresponding localization operators.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2007.01.019