Generalized spectrograms and Ï„-Wigner transforms

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DOI:

https://doi.org/10.4067/S0719-06462010000300011

Abstract

We consider in this paper Wigner type representations WigÏ„ depending on a parameter Ï„ ∈ [0,1] as defined in [2]. We prove that the Cohen class can be characterized in terms of the convolution of such WigÏ„ with a tempered distribution. We introduce furthermore a class of “quadratic representations” SpÏ„ based on the Ï„-Wigner, as an extension of the two window Spectrogram (see [2]). We give basic properties of SpÏ„ as subclasses of the general Cohen class.

Keywords

Time-Frequency representation , Ï„-Wigner distribution , Generalized spectrogram
  • Boggiatto Paolo Department of Mathematics, University of Turin, Via Carlo Alberto, 10, 10123 Torino, Italy.
  • De Donno Giuseppe Department of Mathematics, University of Turin, Via Carlo Alberto, 10, 10123 Torino, Italy.
  • Oliaro Alessandro Department of Mathematics, University of Turin, Via Carlo Alberto, 10, 10123 Torino, Italy.
  • Bui Kien Cuong Higher Education Department, Hanoi Pedagogical University 2, Building G7-144 Xuan Thuy Rd – Hanoi, Vietnam.
  • Pages: 171–185
  • Date Published: 2010-10-01
  • Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

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Published

2010-10-01

How to Cite

[1]
B. Paolo, D. D. Giuseppe, O. Alessandro, and B. Kien Cuong, “Generalized spectrograms and Ï„-Wigner transforms”, CUBO, vol. 12, no. 3, pp. 171–185, Oct. 2010.

Issue

Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

Section

Articles

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