The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical and Computer Engineering University of Southern California

Technical Report USC-SIPI-224

“Connection Between Continuous-Time and Discrete-Time Signal Extrapolation Problems in Wavelet Subspaces”

by Xiang-Gen Xia, C.-C. Jay Kuo, and Zhen Zhang

October 1992

Signal extrapolation in wavelet subspaces for both continuous-time and discrete-time signals was considered in our previous work, where an algorithm obtained from the generalization of the Papoulis-Gerchberg algorithm for band-limited signal extrapolation was proposed. The relationship between the continuous-time and discrete-time extrapolation problems is investigated in this paper. We provide sufficient conditions on signals and wavelet bases so that the discrete-time problem converges to the continuous-time problem when the sampling rate in a given interval goes to infinite.

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