Nowadays, electrically large complex electromagnetic problems exist in modern defence and communication industry. Accurate and efficient calculation for such electromagnetic radiation and scattering is a high computational complex task and a challenge to conventional electromagnetic solvers such as Method of Moment (MOM) where high memory and long computational time are required owing to its la...

We consider the Abel Equation dy dz = p(z)y2 + q(z)y3 as an equation on the complex plane with p, q – rational functions. The center problem for this equation (which is closely related to the classical center problem for polynomial vector fields on the plane) is to find conditions on p and q under which all the solutions y(z) are univalued functions along the circle |z| = 1. In [3] we have show...

Construction of wavelet frames with matrix dilation is studied. We found a necessary condition and a sufficient condition under which a given pair of refinable functions generates dual wavelet systems with a given number of vanishing moments. For image compression and some other applications, it is very desirable to have wavelets with vanishing moment property. In particular, vanishing moments ...

By using the optimum-interval interpolation estimation, in this paper, a new composite model which is based on the improved second generation wavelet transform and second order nonhomogeneous Hidden Markov Model(ISGWT-SNHMM) is proposed and applied in the power quality disturbance classification. By adopting the interpolating scheme and the optimum-interval interpolation estimation, the predict...

This paper surveys the progress made on pairwise orthogonal wavelet frames and comments on the construction methods. There are a few known constructions based on the unitary extension principle, a paraunitary matrix and a given modulation matrix. A polyphase matrix based construction method has been presented which satisfies the condition of unitary extension principle yielding pairwise orthogo...

The inclusive radiative B-decay is a sensitive probe of new physics, especially if related to the virtual exchange of a charged Higgs boson. Supersym-metric models provide a particularly interesting example. In the limit of exact supersymmetry, BR(b → sγ) = 0, due to the vanishing of any magnetic-moment transition operator. We illustrate the impact of this constraint for realistic values of the...

We prove that any sequence of genus zero symplectic vortices with vanishing area has a subsequence that converges to a holomorphic map with zero average moment map. Conversely, any such map is the limit of such a sequence. We use these results to equate the gauged Gromov-Witten invariants for sufficiently small area with the invariant part of equivariant Gromov-Witten invariants, for convex tar...

We present a construction for tight wavelet frames for nonuniform spline type spaces. Our basic requirement is that the twoscale matrices are row stochastic as this admits the local construction of a set of framelets for each scaling function. The framelets have one vanishing moment, small support, and can be designed to have symmetry properties. We apply our method to univariate splines and to...

A method for designing more regular (more diieren-tiable) scaling functions than the Daubechies wavelets is presented. The approach is to numerically minimize the HH older exponent (a measure of smoothness) subject to constraints on the autocorrelation sequence of the scaling lter. The \maximally smooth" wavelets which result have a HH older exponent which grows faster than that of the Daubechi...

An eecient implementation of orthogonal wavelet transforms is obtained by approximating the rotation angles of the orthonormal rotations used in a lattice implementation of the lters. This approximation preserves the orthonor-mality of the transform exactly but leads to non{vanishing moments (except of the zeroth moment). The regularity of these wavelets is analysed by exploiting their nite sca...