Fundamentals of digital image processing
Fundamentals of digital image processing
Discrete-time signal processing
Discrete-time signal processing
Digital watermarking in the fractional Fourier transformation domain
Journal of Network and Computer Applications
Fast Transforms: Algorithms, Analyses, Applications
Fast Transforms: Algorithms, Analyses, Applications
Optimal filtering in fractional Fourier domains
IEEE Transactions on Signal Processing
Eigenvalues and eigenvectors of generalized DFT, generalized DHT,DCT-IV and DST-IV matrices
IEEE Transactions on Signal Processing
The fractional discrete cosine transform
IEEE Transactions on Signal Processing
Integer fast Fourier transform
IEEE Transactions on Signal Processing
Discrete fractional Fourier transform based on orthogonalprojections
IEEE Transactions on Signal Processing
The discrete fractional Fourier transform
IEEE Transactions on Signal Processing
Closed-form discrete fractional and affine Fourier transforms
IEEE Transactions on Signal Processing
Beamforming using the fractional Fourier transform
IEEE Transactions on Signal Processing
A method for the discrete fractional Fourier transform computation
IEEE Transactions on Signal Processing
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing
The discrete fractional cosine and sine transforms
IEEE Transactions on Signal Processing
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This paper is concerned with the angular decomposition methods for the discrete fractional signal transforms. The proposed angular decomposition algorithm can be applied to many discrete fractional signal transforms, which are developed by eigen decomposition. By this angular decomposition, the discrete fractional signal transforms can be computed by a weighted summation of the transform evaluated at special angles. And the weighting coefficients are just equal to the inverse discrete Fourier transform of the eigenvalues of the fractional signal transform kernels.