Improved Backus-Gilbert method for signal reconstruction with a wavelet model

Xiang-Gen Xia; C.-C. Jay Kuo; Bruce W. Suter

doi:10.1117/12.170044

15 March 1994 Improved Backus-Gilbert method for signal reconstruction with a wavelet model

Xiang-Gen Xia, C.-C. Jay Kuo, Bruce W. Suter

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170044
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

The Backus-Gilbert (BG) method provides an algorithm for solving the moment problem. Its performance can be greatly improved by incorporating an appropriate signal model, e.g., the bandlimited signals. In this research, we introduce a practical signal model called the scale-time limited signal spaces and generalize the Backus-Gilbert (BG) method for this class of signals. Since the model proposed in this work includes general wavelet bases such as the modulated Gaussians and the Mexican hat which have simple analytic forms, the required computation can be reduced.

Citation Download Citation

Xiang-Gen Xia, C.-C. Jay Kuo, and Bruce W. Suter "Improved Backus-Gilbert method for signal reconstruction with a wavelet model", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170044

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