Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class
Date
1996-02
Authors
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
IEEE Signal Processing Letters
Print ISSN
1070-9908
Electronic ISSN
1558-2361
Publisher
Institute of Electrical and Electronics Engineers
Volume
3
Issue
2
Pages
40 - 41
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We consider the Cohen (1989) class of time-frequency distributions, which can be obtained from the Wigner distribution by convolving it with a kernel characterizing that distribution. We show that the time-frequency distribution of the fractional Fourier transform of a function is a rotated version of the distribution of the original function, if the kernel is rotationally symmetric. Thus, the fractional Fourier transform corresponds to rotation of a relatively large class of time-frequency representations (phase-space representations), confirming the important role this transform plays in the study of such representations.