On the convergence of wavelet-based iterative signal extrapolation algorithms

@article{Lin1996OnTC,
  title={On the convergence of wavelet-based iterative signal extrapolation algorithms},
  author={Li-Chien Lin and Xiang-Gen Xia and C.-C. Jay Kuo},
  journal={Signal Processing},
  year={1996},
  volume={48},
  pages={51-65}
}
A generalized Papoulis-Gerchberg (PG) algorithm for signal extrapolation based on the wavelet representation has been recently proposed by Xia, Kuo and Zhang. In this research, we examine the convergence property and the convergence rate of several signal extrapolation algorithms in wavelet subspaces. We first show that the generalized PG algorithm converges to the minimum norm solution when the wavelet bases are semi-orthogonal (or known as the prewavelet). However, the generalized PG… CONTINUE READING

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