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5 December 2001 Approximations and fast algorithms
Gregory Beylkin
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Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449697
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States
Abstract
The key element in the design of fast algorithms in numerical analysis and signal processing is the selection of an efficient approximation for the functions and operators involved. In this talk we will consider approximations using wavelet and multiwavelet bases as well as a new type of approximation for bandlimited functions using exponentials obtained via Generalized Gaussian quadratures. Analytically, the latter approximation corresponds to using the basis of the Prolate Spheroidal Wave functions. We will briefly comment on the future development of approximation techniques and the corresponding fast algorithms.
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Gregory Beylkin "Approximations and fast algorithms", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); https://doi.org/10.1117/12.449697
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KEYWORDS
Wavelets
Signal processing
Numerical analysis
Algorithm development
Printed circuit board testing
Condition numbers
Image processing
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