we compare performance of adaptive schemes which are based on radial-basis functions and kalman filters for fast extraction of auditory evoked potentials. moreover, we propose a new method based on evoked potential modeling in the kalman filter framework, which can improve the accuracy compared to the existing methods. simulation results show that adaptive schemes and the kalman method are not ...

For the inverse synthetic aperture radar (ISAR) imaging of a target at a long range, range alignment using the existing polynomial method brings about poor results because the flight trajectory changes depending on the initial position, and the motion parameters, meaning the polynomial cannot fit the trajectory. This paper proposes an improved range alignment method that models the trajectory u...

A complex geometric shape is often a composition of a set of simple ones, which may differ from each other in terms of their mathematical representations and the ways in which they are constructed. One of the necessary requirements in combining these simple shapes is that their original shapes can be preserved as much as possible. In this paper, a set of partial shape-preserving (PSP) spline ba...

For two high-quality piecewise polynomial geometrically smooth (G) surface constructions, explicit G functions are derived that form the basis of a functions space on the G surfaces. The spaces are refinable and nested, i.e. the functions can be rerepresented at a finer level. By choosing all basis functions to be first order smooth a maximal set of degrees of freedom is obtained that have smal...

Three classes of higher-order hierarchical basis functions constructed from standard orthogonal polynomials are proposed and evaluated for modeling of combined metallic and dielectric microwave structures. The reduction of the condition number of moment-method matrices is several orders of magnitude when compared to the technique using regular polynomial basis functions.

We propose a construction of periodic rational bases of wavelets First we explain why this problem is not trivial Construction of wavelet basis is not possible neither for the case of alge braic polynomials nor for the case of rational algebraic functions Of course algebraic polynomials do not belong to L R Nevertheless they can belong to the closure of L R in topology of the generalized conver...