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• W2461042489 abstract "This paper formulates the nonlinear system modeling problem as a scattered data interpolation problem, and develops a new method that computes interpolants that minimize a wavelet-based norm subject to interpolatory con­ straints. The norm is that of a Reproducing Kernel Hilbert Space (RKHS) for which the wavelet functions that form an orthonormal basis for L2 are orthogo­ nal. In contrast to radial basis function kernels, these kernels are not translation invariant and they may be designed to provide spatially varying resolution use­ ful for interpolating from unevenly distributed data samples. Furthermore, the discrete wavelet transform can be exploited to efficiently compute the values of the interpolant on a uniform grid. Modeling of systems in Sobolev spaces using different interpolation methods is discussed in details as a special case of RKHS. Numerical simulations are used to demonstrate the effectiveness of the method." @default.
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• W2461042489 date "1998-01-01" @default.
• W2461042489 modified "2023-09-23" @default.
• W2461042489 title "5 WAVELET BASED MODELING OF NONLINEAR SYSTEMS" @default.
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• W2461042489 hasPublicationYear "1998" @default.
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