Signal extrapolation based on wavelet representation
Xiang‐Gen Xia, C.‐C. Jay Kuo, Zhen Zhang · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1993
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.