An analytical design method is proposed for two-dimensional recursive zero-phase wedge filters. It relies on a frequency mapping applied to a 1D IIR low-pass maximally-flat prototype filter of a specified shape. The design is presented in two versions, one entirely analytical, based on the bilinear transform, and another involving a numerical approximation step. This paper focuses on the design...

In this paper, a new method is presented to derive a reduced order model for a discrete time systems. This method is based on modified pole clustering technique and pade approximations using bilinear transformations, which are conceptually simple and computer oriented. The denominator polynomial of the reduced order model is obtained by using modified pole clustering technique and numerator coe...

A theoretical foundation for a generalization of the elliptic difference Painlevé equation to higher dimensions is provided in the framework of birational Weyl group action on the space of point configurations in general position in a projective space. By introducing an elliptic parametrization of point configurations, a realization of the Weyl group is proposed as a group of Cremona transforma...

A relativistic quantum mechanics is formulated in which all of the interactions are in the four-momentum operator and Lorentz transformations are kinematic. Interactions are introduced through vertices, which are bilinear in fermion and antifermion creation and annihilation operators, and linear in boson creation and annihilation operators. The fermionantifermion operators generate a unitary Li...

In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to hyperbolic, or one-sheeted, hyperboloid in three dimensions, endowed with a Lorentz-invariant measure. These inequalities are unconditional (and optimal) bilinear range q>103. Nous obtenons des nouvelles inégalités pour le problème de la transformée Fourier associé à l'hy...

In this paper, we obtain a canonical central element νH for each semisimple quasiHopf algebraH over an algebraically closed field of char 0 and prove that νH is invariant under gauge transformations. Moreover, if H is a semisimple Hopf algebra or a twisted quantum double of a finite group, then χ(νH) is the Frobenius-Schur Indicator of the irreducible representation which affords the character ...

The problem of computing recurrence coefficients sequences rational functions orthogonal with respect to a discrete inner product is formulated as an inverse eigenvalue for pencil Hessenberg matrices. Two procedures are proposed solve this problem, via the Arnoldi iteration and updating procedure using unitary similarity transformations. latter shown be numerically stable. This both generalized...

A non-Abelian version of the Hirota-Miwa equation is considered. In an earlier paper [Nimmo (2006) J. Phys. A: Math. Gen. 39, 5053-5065] it was shown how solutions expressed as quasideterminants could be constructed for this system by means of Darboux transformations. In this paper we discuss these solutions from a different perspective and show that the solutions are quasi-Plücker coordinates ...

We present a new transformation of chosen-plaintext secure predicate encryption schemes with public index into chosen-ciphertext secure schemes. Our construction requires only a universal one-way hash function and is selectively secure in the standard model. The transformation is not generic but can be applied to various existing schemes constructed from bilinear groups. Using common structural...