Abstract
A traditional assumption underlying most data converters is that the signal should be sampled at a rate exceeding twice the highest frequency. In this paper, we employ a method for low-rate sampling of multi- band signals via applying periodic nonuniform sampling in shift-invariant spaces generated by m kernels with period T. So, the sampling and reconstruction of signals were transformed into matrix and vector operations, the generalized inverse can be use to find the answer and an interpolator is used to insure that complete reconstruction will be achieved. Finally, we validate the method in MATLAB; the conclusion of simulation shows the frame-work presented here is feasible.
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