Generalized smoothing splines and the optimal discretization of the Wiener filter

We introduce an extended class of cardinal L/sup */L-splines, where L is a pseudo-differential operator satisfying some admissibility conditions. We show that the L/sup */L-spline signal interpolation problem is well posed and that its solution is the unique minimizer of the spline energy functional...

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Bibliographic Details
Published in:	IEEE transactions on signal processing Vol. 53; no. 6; pp. 2146 - 2159
Main Authors:	Unser, M., Blu, T.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.06.2005 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Applied sciences Detection, estimation, filtering, equalization, prediction Digital filters Discretization Energy conservation Estimation error Exact sciences and technology Filtering algorithms Gaussian noise Information, signal and communications theory Interpolation Least squares approximation Mean square error methods Mean square errors Nonparametric estimation Operators Optimization recursive filtering Signal and communications theory Signal processing Signal, noise Smoothing Smoothing methods smoothing splines Splines splines (polynomial and exponential) stationary processes Studies Telecommunications and information theory Transfer functions variational principle Wiener filter stationary processes Non parametric estimation Nonparametric estimation smoothing splines Exponential function Recursive filtering splines (polynomial and exponential) Polynomial function Interpolation Wiener filter Smoothing Variational principle Stationary process Bayes methods
ISSN:	1053-587X, 1941-0476
Online Access:	Get full text
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