Chirp filtering in the fractional Fourier domain
Date
1994-11-10Source Title
Applied Optics
Print ISSN
1559-128X
Electronic ISSN
2155-3165
Publisher
Optical Society of America
Volume
33
Issue
32
Pages
7599 - 7602
Language
English
Type
ArticleItem Usage Stats
163
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122
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Abstract
In the Wigner domain of a one-dimensional function, a certain chirp term represents a rotated line delta
function. On the other hand, a fractional Fourier transform (FRT) can be associated with a rotation of
the Wigner-distribution function by an angle connected with the FRT order. Thus with the FRT tool a chirp and a delta function can be transformed one into the other. Taking the chirp as additive noise, the
FRT is used for filtering the line delta function in the appropriate fractional Fourier domain.
Experimental filtering results for a Gaussian input function, which is modulated by an additive chirp noise, are shown. Excellent agreement between experiments and computer simulations is achieved.
Keywords
FilteringFourier optics
Fractional fourier transform
Computer simulation
Fourier transforms
Signal filtering and prediction
Chirp filtering
Delta function
Fractional fourier transforms
Wigner distribution function
Fourier optics
Permalink
http://hdl.handle.net/11693/13633Published Version (Please cite this version)
http://dx.doi.org/10.1364/AO.33.007599Collections
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