Results 271 to 280 of about 13,447 (294)

Discrete and finite fractional Fourier transforms

Frontiers in Optics, 2003
Finite models for oscillator or waveguide systems provide corresponding fractional Fourier-type transforms between finite arrays of ‘sensor’ points. The kernel matrices are unitary and are well-known in group theory; they involve the discrete polynomials of Kravchuk, q-Kravchuk, Meixner and Hahn.
openaire   +1 more source

On bandlimited signals with fractional Fourier transform

IEEE Signal Processing Letters, 1996
We study bandlimited signals with fractional Fourier transform (FRFT). We show that if a nonzero signal f is bandlimited with FRFT F/sub /spl alpha// for a certain real /spl alpha/, then it is not bandlimited with FRFT F/sub /spl beta// for any /spl beta/ with /spl beta//spl ne//spl plusmn//spl alpha/+n/spl pi/ for any integer n.
openaire   +1 more source

The generalized discrete fractional fourier transforms

IEEE International Conference on Acoustics Speech and Signal Processing, 2002
In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT.
openaire   +1 more source

Fractional Fourier transform: Time-frequency representation and structural instantaneous frequency identification

Mechanical Systems and Signal Processing, 2022
Lian Lu
exaly  

Multidimensional fractional Fourier transform and generalized fractional convolution

Integral Transforms and Special Functions, 2020
R Roopkumar
exaly  

Optical encryption based on iterative fractional Fourier transform

Optics Communications, 2002
Yan Zhang, Naohiro Tanno
exaly  

The fractional Fourier transform: theory, implementation and error analysis

Microprocessors and Microsystems, 2003
K M M Prabhu
exaly  

Research progress on discretization of fractional Fourier transform

Science in China Series F: Information Sciences, 2008
Ran Tao, Tao Ran
exaly  

Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator

Journal of Pseudo-Differential Operators and Applications, 2012
R S Pathak, Akhilesh Prasad, Manish Kumar   +2 more
exaly  

Relationship of fractional Hilbert transform with Fourier and fractional Fourier Transforms

AIP Conference Proceedings
Akilahmad G. Sheikh, Nitin M. Bhondge, Alim S. Khan   +2 more
openaire   +1 more source