Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms
Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms
The offset Fourier transform (offset FT), offset fractional Fourier transform (offset FRFT), and offset linear canonical transform (offset LCT) are the space-shifted and frequency-modulated versions of the original transforms. They are more general and flexible than the original ones. We derive the eigenfunctions and the eigenvalues of the offset FT, …