Repeated fractional Fourier domain filtering is equivalent to repeated time and frequency domain filtering
نویسندگان
چکیده
منابع مشابه
Repeated fractional Fourier domain filtering is equivalent to repeated time and frequency domain filtering
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 a...
متن کاملEvery Fourier optical system is equivalent to consecutive fractional-Fourier-domain filtering.
We consider optical systems composed of an arbitrary number of lenses and filters, separated by arbitrary distances, under the standard approximations of Fourier optics. We show that every such system is equivalent to (i) consecutive filtering operations in several fractional Fourier domains and (ii) consecutive filtering operations alternately in the space and the frequency domains.
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ژورنال
عنوان ژورنال: Signal Processing
سال: 1996
ISSN: 0165-1684
DOI: 10.1016/0165-1684(96)00095-3