We consider a class of functions, defined on a locally compact abelian group by letting a class of modulation operators act on a countable collection of functions. We derive sufficient conditions for such a class of functions to form a Bessel sequence or a frame and for two such systems to be dual frames. Explicit constructions are obtained via various generalizations of the classical B-splines...

Detailed understanding of the complexities of flow and in biological materials is essential for the design, development, and optimization of MRI protocols for medical and biomedical applications. However, the design of such processes resort to trial and error, because the mathematics and physics of most experimental techniques are fundamentally limited. In this study, we develop a new magnetic ...

Orthogonal Frequency Division Multiplexing (OFDM) is a hotly researched topic, due to its high data rate and robustness to multi-path fading. As such, it has been widely adopted in wireless standards, e.g., IEEE 802.11a/g, digital audio/video broadcasting and Integrated Services Digital Broadcasting (ISDB). In the presence of doubly-selectivity in fading channels, OFDM suffers from intercarrier...

The lost of nonentun and stiffness due to ablation nay significantly influence the vibrations of a solid propellant grain. This paper presents an analytical study of the axial shear vibrations of a long hollow cylinder that is subjected to tine dependent body forces in the axial direction. The outer surface of the cylinder is bonded to a rigid case, and the inner radius increases monotonically ...

We report on a novel pumping scheme for stimulated Raman scattering (SRS) that uses a Bessel beam. We have used this scheme for SRS from molecular vibrations in acetone and from a polariton mode in a LiIO(3) crystal. A nearly diffraction-limited Stokes beam was observed along the cone axis of the Bessel beam. The generation mechanism of the Stokes beam is identified as being due to noncollinear...

[1] D. A. Zogas and G. K. Karagiannidis, “Infinite-series representations associated with the bivariate Rician distribution and their applications,” IEEE Trans. Commun., vol. 53, no. 11, pp. 1790–1794, Nov. 2005. [2] A. A. Abu-Dayya and N. C. Beaulieu, “Switched diversity on microcellular Ricean channels,” IEEE Trans. Veh. Technol., vol. 43, no. 6, pp. 970–976, Nov. 1994. [3] K. S. Miller, Mult...

We report, in theory and experiment, on a novel class of controlled light capsules with nearly perfect darkness, directly employing intrinsic properties of modified Bessel-Gauss beams. These beams are able to naturally create three-dimensional bottle-shaped region during propagation as long as the parameters are properly chosen. Remarkably, the optical bottle can be controlled to demonstrate va...

The concept of pseudo-Bessel correlated beams is introduced, and their scintillation properties on propagation through turbulence are investigated. By using the Rytov approximation, the scintillation index of pseudo-Bessel correlated beams is formulated in weak turbulence. The study of scintillation is extended into strong turbulence by numeric simulations. It is shown that by choosing an appro...

For automorphic representations in the nontempered cuspidal spectrum of SO5, we establish a precise Bessel period formula, in which the square of the global Bessel period is decomposed as an Euler product of regularized local Bessel period integrals of matrix coefficients.

In this paper, we discuss efficient exact random variate generation for the Bessel distribution. The expected time of the algorithm is uniformly bounded over all choices of the parameters, and the algorithm avoids any computation of Bessel functions or Bessel ratios.