Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class
Date
1996-02Source 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
ArticleItem Usage Stats
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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.
Keywords
Time frequency analysisFourier transforms
Kernel
Optical signal processing
Optical computing
Quantum mechanics
Wavelet transforms
Neural networks
Chirp
Signal processing algorithms