Repeated fractional Fourier domain filtering is equivalent to repeated time and frequency domain filtering

Date
1996-10
Editor(s)
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Source Title
Signal Processing
Print ISSN
0165-1684
Electronic ISSN
1872-7557
Publisher
Elsevier BV
Volume
54
Issue
1
Pages
81 - 84
Language
English
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Abstract

Any system consisting of a sequence of multiplicative filters inserted between several fractional Fourier transform stages, is equivalent to a system composed of an appropriately chosen sequence of multiplicative filters inserted between appropriately scaled ordinary Fourier transform stages. Thus every operation that can be accomplished by repeated filtering in fractional Fourier domains can also be accomplished by repeated filtering alternately in the ordinary time and frequency domains.

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Published Version (Please cite this version)