Sampling and series expansion theorems for fractional Fourier and other transforms
Signal Processing - Special issue: Fractional signal processing and applications
Angular decompositions for the discrete fractional signal transforms
Signal Processing
DFT-commuting matrix with arbitrary or infinite order second derivative approximation
IEEE Transactions on Signal Processing
Signal recovery with cost-constrained measurements
IEEE Transactions on Signal Processing
Linear summation of fractional-order matrices
IEEE Transactions on Signal Processing
The discrete fractional Fourier transform based on the DFT matrix
Signal Processing
Eigenvectors of the discrete Fourier transform based on the bilinear transform
EURASIP Journal on Advances in Signal Processing - Special issue on applications of time-frequency signal processing in wireless communications and bioengineering
A new robust reference logo watermarking scheme
Multimedia Tools and Applications
The fractional Fourier transform over finite fields
Signal Processing
A New Formulation of the Fast Fractional Fourier Transform
SIAM Journal on Scientific Computing
Fractional Fourier transform: a survey
Proceedings of the International Conference on Advances in Computing, Communications and Informatics
Synthetic aperture radar imaging with fractional Fourier transform and channel equalization
Digital Signal Processing
Fractional Fourier transform based features for speaker recognition using support vector machine
Computers and Electrical Engineering
Rotation Invariance in 2D-FRFT with Application to Digital Image Watermarking
Journal of Signal Processing Systems
Hi-index | 35.69 |
We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform. This definition is based on a particular set of eigenvectors of the DFT matrix, which constitutes the discrete counterpart of the set of Hermite-Gaussian functions. The definition is exactly unitary, index additive, and reduces to the DFT for unit order. The fact that this definition satisfies all the desirable properties expected of the discrete fractional Fourier transform supports our confidence that it will be accepted as the definitive definition of this transform