The paper is based upon the performance of various w indows in designing FIR Filter. The cosine hyperbolic w indow has been used to design a better FIR Filter in terms of ripple ratio, side-lobe roll off ratio and main-lobe w idth w ith its advantages of no power series expansion in frequency domain hence need less hardware. The spectral characteristic of cosh window is compared with other wind...

We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g ≥ 1 2 cosh(r) where r denotes the radius of any isometrically embedded ball in M . Assuming an unpublished result of Pitts and Rubinstein improves this to g ≥ 1 2 cosh(r) + 1 2 . We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperim...

C cosh(zs) (sin z − sin x)n+1 dz, y = sinn+1 x ∮ C cosh(zs) (cos z − cos x)n+1 dz, s2 = −λ, and their associated second-order ordinary differential equationswhich are not studied are given. Complete solution is given by calculating residues for n = 1. The eigenvalues and eigenfunctions along with certain boundary conditions are explored for the first contour integral. The contour integral y(x) ...

We review a class of gradient systems with dissipation potentials hyperbolic-cosine type. show how such emerge in large deviations jump processes, multi-scale limits diffusion and more. the exponential nature cosh derives from scaling arises implicitly cell problems limits. discuss in-depth role "tilting" systems. Certain classes are "tilt-independent", which means that changing driving functio...

By using the generalized beam formulation, the scintillation index is derived and evaluated for cosh-Gaussian beams in a turbulent atmosphere. Comparisons are made to cos-Gaussian and Gaussian beam scintillations. The variations of scintillations against propagation length at different values of displacement and focusing parameters are examined. The dependence of scintillations on source size a...

The ABCD matrix method is used to simplifying the theoretical coupling efficiency calculation of Elegant Hermite-Cosh-Gaussian (EHChG) laser beams to a Single Mode Fiber (SMF) with a quadric lens formed on the tip. The integrals of coupling efficiency relation are calculated numerically by Boole method. Meanwhile, the structure parameters of surface-lensed fiber are optimized in numerical simul...

We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g ≥ 1 2 cosh(r) where r denotes the radius of any isometrically embedded ball in M . Assuming an unpublished result of Pitts and Rubinstein improves this to g ≥ 1 2 cosh(r) + 1 2 . We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperim...

This paper tackles the problem of providing familiar OS abstractions for I/O (such as pipes, network sockets, and a shared file system) to applications on heterogeneous cores including accelerators, co-processors, and offload engines. We aim to isolate the implementation of these facilities from the details of a platform’s memory architecture, which is likely to include a combination of cache-c...

The propagation properties for a General Model vortex Higher-order Cosh-Gaussian beam (GMvHchGB) propagating in turbulent atmosphere are studied detail. Based on the Huygens-Fresnel diffraction principle, analytical formula of intensity evolution considered traveling is derived at various distances. equation provides general convenient procedure describing some particular beams free space/atmos...

Duality relations for the 2D nonhomogeneous Ising model on the finite square lattice wrapped on the torus are obtained. The partition function of the model on the dual lattice with arbitrary combinations of the periodical and antiperiodical boundary conditions along the cycles of the torus is expressed through some specific combination of the partition functions of the model on the original lat...