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Title:
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Algorithms for Optimal Numerical Quadrature Based on Signal Class Models |
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Author:
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de Figueiredo, Rui J.P.
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Type:
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Tech Report |
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Keywords:
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Numerical quadrature; numerical integration; moments; convolution; Fourier transforms; filters; spline functions; variational methods |
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Citation:
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R. J. de Figueiredo, "Algorithms for Optimal Numerical Quadrature Based on Signal Class Models," Rice University ECE Technical Report, no. 7915, 1979. |
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Abstract:
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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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Date Published:
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1979-11-01 |
