论文信息 - The generalized Backus-Gilbert inversion method for signal recovery in multiresolution spaces

The generalized Backus-Gilbert inversion method for signal recovery in multiresolution spaces

The Backus-Gilbert (BG) method provides a signal recovery algorithm based on the moment information of a signal. In this work, we focus on a class of signals that can be well approximated with a multiresolution model, and propose a generalized BG method for signal recovery. A numerical experiment is given to demonstrate the performance of the generalized BG method.<<ETX>>

Xiang-Gen Xia | C.-C. Jay Kuo | Zhen Zhang | X. Xia | Zhen Zhang

[1] Gilbert G. Walter,et al. A sampling theorem for wavelet subspaces , 1992, IEEE Trans. Inf. Theory.

[2] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .

[3] Stephen P. Huestis,et al. The Backus-Gilbert problem for sampled band-limited functions , 1992 .

[4] G. Backus,et al. Numerical Applications of a Formalism for Geophysical Inverse Problems , 1967 .

[5] T S Huang,et al. Numerical comparison of several algorithms for band-limited signal extrapolation. , 1984, Applied optics.

[6] M. Nashed,et al. The Backus-Gilbert method for signals in reproducing kernel Hilbert spaces and wavelet subspaces , 1994 .

[7] A. Aldroubi,et al. Families of wavelet transforms in connection with Shannon's sampling theory and the Gabor transform , 1993 .

[8] Paolo Russo,et al. The Backus-Gilbert inversion method and the processing of sampled data , 1992, IEEE Trans. Signal Process..