Algorithms for Optimal Numerical Quadrature Based on Signal Class Models
Date
1979-11-01
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Abstract
A framework is presented for constructing various types of numerical quadrature algorithms which take into account the a-priori known or estimated properties of the signal being processed. This is done by appropriately modeling the signal class to which such a signal belongs. Both linear and nonlinear signal class models are considered and wide use of generalized spine theory is made. For the nonlinear case, a new type of nonlinear generalized spline is defined.
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Report
Keywords
Numerical quadrature, numerical integration, moments, convolution, Fourier transforms, filters, spline functions, variational methods
Citation
R. J. de Figueiredo, "Algorithms for Optimal Numerical Quadrature Based on Signal Class Models," Rice University ECE Technical Report, no. 7915, 1979.