Optical signal processing
Digital watermarking in the fractional Fourier transformation domain
Journal of Network and Computer Applications
Optical Information Processing
Optical Information Processing
Linear and radial canonical transforms of fractional order
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Enhancement of photolithography resolution by fractional Fourier domain filtering
Microelectronic Engineering
Time-frequency signal analysis based on the windowed fractional Fourier transform
Signal Processing - Special issue: Fractional signal processing and applications
Signal Processing - Special issue: Fractional signal processing and applications
Wigner distribution moments measured as intensity moments in separable first-order optical systems
EURASIP Journal on Applied Signal Processing
Perspectives in Optical Computing
Computer
Signal reconstruction from two close fractional Fourier power spectra
IEEE Transactions on Signal Processing
Eigenvalues and eigenvectors of generalized DFT, generalized DHT,DCT-IV and DST-IV matrices
IEEE Transactions on Signal Processing
A class of fractional integral transforms: a generalization of thefractional Fourier transform
IEEE Transactions on Signal Processing
Eigenfunctions of linear canonical transform
IEEE Transactions on Signal Processing
New properties of the Radon transform of the cross Wigner/ambiguitydistribution function
IEEE Transactions on Signal Processing
Fractional cosine, sine, and Hartley transforms
IEEE Transactions on Signal Processing
Beamforming using the fractional Fourier transform
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Watermarking in the space/spatial-frequency domain using two-dimensional Radon-Wigner distribution
IEEE Transactions on Image Processing
Fresnelets: new multiresolution wavelet bases for digital holography
IEEE Transactions on Image Processing
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We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant pattern recognition, adaptive filter design, encryption, watermarking, and so forth is discussed in detail. A general algorithm for the fractionalization of linear cyclic integral transforms is introduced and it is shown that they can be fractionalized in an infinite number of ways. Basic properties of fractional cyclic transforms are considered. The implementation of some fractional transforms in optics, such as fractional Hankel, sine, cosine, Hartley, and Hilbert transforms, is discussed. New horizons of the application of fractional transforms for optical information processing are underlined.