New sampling formulae related to linear canonical transform
Signal Processing
On Nonuniform Sampling of Bandlimited Signals Associated with the Fractional Fourier Transform
ICICIC '08 Proceedings of the 2008 3rd International Conference on Innovative Computing Information and Control
Optimal filtering in fractional Fourier domains
IEEE Transactions on Signal Processing
Optimal free parameters in orthonormal approximations
IEEE Transactions on Signal Processing
Improved method for optimum choice of free parameter in orthogonalapproximations
IEEE Transactions on Signal Processing
Eigenfunctions of linear canonical transform
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing - Part I
Generalized prolate spheroidal wave functions associated with linear canonical transform
IEEE Transactions on Signal Processing
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Approximate signal reconstruction formulas for the class of L2 (R) signals in the fractional Fourier and linear canonical transform (LCT) domains are presented. The results make use of the finite number of nonuniform samples of the signal in fractional Fourier or LCT domains taken at the positions determined by the zeros of the Hermite polynomials. The results provide exact representation for the class of signals that can be expressed in the form of polynomials of some finite order. The truncation error bounds in the presented results are also discussed. Simulation results for some of the proposed theorems are also presented.