Signal extrapolation based on wavelet representation

Xiang-Gen Xia; C.-C. Jay Kuo; Zhen Zhang

doi:10.1117/12.162086

1 November 1993 Signal extrapolation based on wavelet representation

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

Proceedings Volume 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing; (1993) https://doi.org/10.1117/12.162086
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The Papoulis-Gerchberg (PG) algorithm is well known for band-limited signal extrapolation. We consider the generalization of the PG algorithm to signals in the wavelet subspaces in this research. The uniqueness of the extrapolation for continuous-time signals is examined, and sufficient conditions on signals and wavelet bases for the generalized PG (GPG) algorithm to converge are given. We also propose a discrete GPG algorithm for discrete-time signal extrapolation, and investigate its convergence. Numerical examples are given to illustrate the performance of the discrete GPG algorithm.

Citation Download Citation

Xiang-Gen Xia, C.-C. Jay Kuo, and Zhen Zhang "Signal extrapolation based on wavelet representation", Proc. SPIE 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, (1 November 1993); https://doi.org/10.1117/12.162086

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