Periodic Non Uniform Sampling of Non Bandlimited Signals

We consider the periodic non uniform sampling of a class of continuous time non bandlimited signals. Unlike previous work, the periodic non uniform sequence is obtained by retaining a select group of samples from a larger set generated by oversampling the continuous time signal. The oversampled sequence is modeled as the output of a discrete time multirate interpolation filter. Using this model, we propose a number of ways to retrieve the signal and derive necessary and sufficient conditions for signal reconstruction with FIR digital filters. The use of FIR filtering insures the stability of the reconstruction process