Study on sampling theory for wavelet space

Tan Xue-qin · Journal of Circuits and Systems · 2007

The application of wavelet theory in non-band limited sampling is studied in this paper.It analyzes Walter’s sampling theorem and the theory base beyond the Nyquist rate.Then it introduces periodical nonuniform sampling and derivatives sampling theorem,which uses FIR filter,rather than IIR filter,during the reconstruction.Simulation results are given for the sampling and reconstruction of compactly supported signals.

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