Multirate systems and filter banks
Multirate systems and filter banks
Sampling of linear canonical transformed signals
Signal Processing
New sampling formulae related to linear canonical transform
Signal Processing
Efficient arbitrary sampling rate conversion with recursivecalculation of coefficients
IEEE Transactions on Signal Processing
Eigenfunctions of linear canonical transform
IEEE Transactions on Signal Processing
Closed-form discrete fractional and affine Fourier transforms
IEEE Transactions on Signal Processing
The fractional Fourier transform and time-frequency representations
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Sampling and discretization of the linear canonical transform
Signal Processing
Multi-channel filter banks associated with linear canonical transform
Signal Processing
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The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates the sampling rate conversion problem in the LCT domain. Firstly, the discrete-time LCT is introduced and the formulas of interpolation and decimation in the LCT domain are derived. Then, based on the sampling theorem expansion in the LCT domain, the formulas of sampling rate conversion by real factors for the LCT in time domain are proposed. The spectral analysis of sampling rate conversion by real factors in the LCT domain is also illustrated. The sampling rate conversion theories in the Fourier domain and the fractional Fourier domain are shown to be special cases of the achieved results. The simulations verify the effectiveness of the obtained results.