Filtering in fractional Fourier domains and their relation to chirp transforms
Author
Özaktaş, Haldun M.
Barshan, Billur
Onural, Levent
Mendlovic, D.
Date
1994-04Source Title
Mediterranean Electrotechnical Conference - MELECON'94
Publisher
IEEE
Pages
77 - 79
Language
English
Type
Conference PaperItem Usage Stats
152
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Abstract
Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that under certain conditions one can improve upon the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.
Keywords
Fourier transformsFrequency domain analysis
Harmonic generation
Optical data processing
Spurious signal noise
Chirp transforms
Fractional Fourier domains
Wavelet transforms
Signal filtering and prediction