Filtering in fractional Fourier domains and their relation to chirp transforms

Date
1994-04
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Source Title
Mediterranean Electrotechnical Conference - MELECON'94
Print ISSN
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Publisher
IEEE
Volume
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Pages
77 - 79
Language
English
Type
Conference Paper
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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.

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Keywords
Fourier transforms, Frequency domain analysis, Harmonic generation, Optical data processing, Spurious signal noise, Chirp transforms, Fractional Fourier domains, Wavelet transforms, Signal filtering and prediction
Citation
Published Version (Please cite this version)