Improved discrete fractional Fourier transform | Zendy

SooChang Pei | Zendy; Min-Hung Yeh | Zendy

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Improved discrete fractional Fourier transform

Author(s) -

SooChang Pei,

Min-Hung Yeh

Publication year - 1997

Publication title -

optics letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.524

H-Index - 272

eISSN - 1071-2763

pISSN - 0146-9592

DOI - 10.1364/ol.22.001047

Subject(s) - fractional fourier transform , fourier transform , non uniform discrete fourier transform , discrete fourier transform (general) , discrete time fourier transform , short time fourier transform , hartley transform , harmonic wavelet transform , fourier transform on finite groups , fourier analysis , discrete sine transform , mathematical analysis , mathematics , physics , computer science , wavelet transform , computer vision , discrete wavelet transform , wavelet

The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT's) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT. This improved DFRFT provides transforms similar to those of the continuous fractional Fourier transform and also retains the rotation properties.

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