Abstract: A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.