Chirp filtering in the fractional Fourier domain
Dorsch, R. G.
Lohmann, A. W.
Ozaktas, H. M.
Optical Society of America
7599 - 7602
Item Usage Stats
MetadataShow full item record
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.
Fractional fourier transform
Signal filtering and prediction
Fractional fourier transforms
Wigner distribution function
Published Version (Please cite this version)http://dx.doi.org/10.1364/AO.33.007599
Showing items related by title, author, creator and subject.
Fractional Fourier transform pre-processing for neural networks and its application to object recognition Barshan, B.; Ayrulu, B. (Pergamon Press, 2002)This study investigates fractional Fourier transform pre-processing of input signals to neural networks. The fractional Fourier transform is a generalization of the ordinary Fourier transform with an order parameter a. ...
Fundamental structure of Fresnel diffraction: Longitudinal uniformity with respect to fractional Fourier order Ozaktas, H. M.; Arik, S. O.; Coşkun, T. (Optical Society of America, 2011-12-24)Fresnel integrals corresponding to different distances can be interpreted as scaled fractional Fourier transformations observed on spherical reference surfaces. Transverse samples can be taken on these surfaces with ...
Durak, L.; Özdemir, A. K.; Arıkan, Orhan; Song, I. (IEEE, 2005-09)The 2-D signal representations of variables rather than time and frequency have been proposed based on either Hermitian or unitary operators. As an alternative to the theoretical derivations based on operators, we propose ...