This paper investigates the interpolation formulae and the sampling theorem for bandpass signals\r\nin the linear canonical transform LCT domain. Firstly, one of the important relationships between\r\nthe bandpass signals in the Fourier domain and the bandpass signals in the LCT domain is derived.\r\nSecondly, two interpolation formulae from uniformly sampled points at half of the sampling rate\r\nassociated with the bandpass signals and their generalized Hilbert transform or the derivatives\r\nin the LCT domain are obtained. Thirdly, the interpolation formulae from nonuniform samples\r\nare investigated. The simulation results are also proposed to verify the correctness of the derived\r\nresults.
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