Generalized smoothing splines and the optimal discretization of the Wiener filter
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 /spl par/Ls/spl par//sub L2//sup 2/, subject …