Sampling and series expansion theorems for fractional Fourier and other transforms
Signal Processing - Special issue: Fractional signal processing and applications
IEEE Transactions on Signal Processing
Eigenfunctions of linear canonical transform
IEEE Transactions on Signal Processing
Relations between fractional operations and time-frequencydistributions, and their applications
IEEE Transactions on Signal Processing
New sampling formulae related to linear canonical transform
Signal Processing
Sampling rate conversion for linear canonical transform
Signal Processing
Sampling and discretization of the linear canonical transform
Signal Processing
Generalized prolate spheroidal wave functions associated with linear canonical transform
IEEE Transactions on Signal Processing
On uncertainty principle for the linear canonical transform of complex signals
IEEE Transactions on Signal Processing
A fast algorithm for the linear canonical transform
Signal Processing
Windowed linear canonical transform and its applications
Signal Processing
Multi-channel filter banks associated with linear canonical transform
Signal Processing
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Linear canonical transforms play an important role in many fields of optics and signal processing. Well-known transforms such as the Fourier transform, the fractional Fourier transform, and the Fresnel transform can be seen as special cases of the linear canonical transform. In this paper we develop a sampling theorem for linear canonical transformed signals. The well-known Shannon sampling theorem and previously developed sampling criteria for Fresnel and fractional Fourier transformed signals are shown to be a special cases of the theorem developed here.