de Figueiredo, Rui J.P.2007-10-312007-10-311979-11-012004-03-16R. J. de Figueiredo, "Algorithms for Optimal Numerical Quadrature Based on Signal Class Models," <i>Rice University ECE Technical Report,</i> no. 7915, 1979.https://hdl.handle.net/1911/19849Tech ReportA 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.engNumerical quadraturenumerical integrationmomentsconvolutionFourier transformsfiltersspline functionsvariational methodsReportNumerical quadraturenumerical integrationmomentsconvolutionFourier transformsfiltersspline functionsvariational methods