This paper shows that the WKB quantization rule is suitable for Andreev bound states in nonuniform superconductors. We consider nonhomogeneous superconductivity gap functions $\mathrm{\ensuremath{\Delta}}(x)$ superconductors with Bogoliubov quasiparticle energy $E$, Fermi level ${E}_{F}$, and total momentum $\mathbf{p}$ at ${E}_{F}+E$. The well of slowly varying $|\mathrm{\ensuremath{\Delta}}(x...

In this Discussion we shall reflect on various aspects of the recently published paper by Elaiw and Ibrahim (2008). Their paper considers the onset of convective instabilities of a mixed convection boundary layer induced by the combined presence of a hot horizontal surface in an unbounded porous medium and an externally-imposed uniform horizontal forced convective flow. These authors also adopt...

Let (xn) ⊂ R d be a uniformly separated sequence which forms a Fourier frame for PWB2 , the space of square-integrable functions on R d whose Fourier transforms vanish outside the Euclidean unit ball B2. Given λ > 0 and f ∈ PWB2 , there is a unique sequence (aj) in l2 such that the function Iλ(f)(x) := X aje −λ‖x−xj‖ 2 2 , x∈R d , is continuous and square integrable on R, and satisfies the inte...

An innovative approach to non-uniform sampling is proposed in this research paper specifically two engineering methods to sampling are proposed. Using results from statistics literature, an “optimal sampling” scheme is discussed. Information theoretic approach to nonuniform sampling formulated.

A novel method for aliasing detection and resolving in the estimation of polynomialphase signal (PPS) parameters is presented. Aliasing is detected using two high-order ambiguity functions (HAFs) of a uniformly sampled PPS embedded in noise. If aliasing occurred, we propose a way of recovering the true parameters from their aliased positions. To that end, a closed-form expression for the true p...