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. The signal must be bandlimited in its reconstructing by using the Whittaker-Shannon series,the request is too high.The paper constructs a kind of new series instead of the Whittaker-Shannon series, for a given signal,using the new series and its samples to reconstruct the signal,through this method the request of the signal can be lowered, at the same time the aliasing error estimation is given.

A new kind info sample theorem and its aliasing error estimation