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“On the Limiting Processing of Sampled Signal Extrapolation Using Wavelets”
by Xiang-Gen Xia, Li-Chien Lin and C.-C. Jay Kuo
January 1994
The extrapolation of sampled signals from a given interval using a wavelet model with various sampling rates is examined in this research. We present sufficient conditions on signals and wavelet bases so that the discrete-time extrapolated signal converges to its continuous-time counterpart when the sampling rate goes to infinity. Thus, this work provides a practical procedure to implement continuous-time signal extrapolation with a discrete one via carefully choosing the sampling rate and the wavelet basis. A numerical example is given to illustrate our theoretical result.