Title :
Well-conditioned adaptive interpolation by a gaussian-modulated pole kernel with applications to vector fitting
Author :
Knockaert, Luc ; Zutter, Daniel De
Author_Institution :
Dept. Inf. Technol., Ghent Univ., Ghent
Abstract :
In this contribution we discuss the translation-invariant interpolation of frequency domain functions by means of a well-conditioned Gaussian-modulated pole kernel which generates exclusively stable poles. For the implementation we use an adaptive interpolation process which is a variant of a recently introduced adaptive residual subsampling method. It is shown that the interpolation process with the Gaussian-modulated pole kernel also provides an excellent pre-processing interface when used in conjunction with the popular vector fitting algorithm. This results in a composite algorithm, performing the sampling and modelling of the given frequency function in a fully automatic way.
Keywords :
Gaussian distribution; frequency response; frequency-domain analysis; interpolation; radial basis function networks; sampling methods; vectors; Gaussian-modulated pole kernel; adaptive interpolation process; adaptive residual subsampling method; frequency domain functions; stable poles; translation-invariant interpolation; vector fitting algorithm; Biomedical imaging; Frequency domain analysis; Frequency response; Gaussian processes; Information technology; Interpolation; Kernel; Neural networks; Sampling methods; Scattering;
Conference_Titel :
Signal Propagation on Interconnects, 2007. SPI 2007. IEEE Workshop on
Conference_Location :
Genova
Print_ISBN :
978-1-4244-1223-5
Electronic_ISBN :
978-1-4244-1224-2
DOI :
10.1109/SPI.2007.4512208
