Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
Date
1994
Advisor
Instructor
Source Title
J of Optical Soc Am. A Optics
Print ISSN
Electronic ISSN
Publisher
Volume
11
Issue
2
Pages
547 - 559
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract
A concise introduction to the concept of fractional Fourier transforms is followed by a discussion of their relation to chirp and wavelet transforms. The notion of fractional Fourier domains is developed in conjunction with the Wigner distribution of a signal. Convolution, filtering, and multiplexing of signals in fractional domains are discussed, revealing that under certain conditions one can improve on 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.
Course
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Book Title
Keywords
Frequency Signal Analysis, Wigner Distribution, Time Signals, Tool