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-254

“Robust Scale/Time-Limited Extrapolation with Denoising”

by Li-Chien Lin and C.-C. Jay Kuo

March 1994

We examine a new signal modeling technique using wavelets, and propose an iterative scale/time-limited extrapolation algorithm. The ill-posedness of the problem is discussed. To obtain a robust extrapolation scheme for handling noisy data, we incorporate the extrapolation algorithm with a denoising procedure which exploits the time-localization property of the wavelet transform. A numerical experiment is given to compare the proposed algorithm with the regularized extrapolation method.

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