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15 March 1994 Improved Backus-Gilbert method for signal reconstruction with a wavelet model
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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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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