in Distributed Object Computing Dimitrios Georgakopoulos Mark F. Hornick Frank Manola Michael L. Brodie Sandra Heiler Farshad Nayeri Benjamin Hurwitz GTE Laboratories Incorporated

It is shown that for four-transmitter systems, a family of four-by-four unit-rate complex quasi-orthogonal space–time block codes, where each entry equals a symbol variable up to a change of sign and/or complex conjugation, can be generated from any two independent codes via elementary operations. The two independent groups of codes in the family generally have different properties of diversity...

The auxiliary information has always been a source of improvement in estimation of certain population characteristics. Several estimators have been developed in single and two phase sampling which utilizes information on auxiliary variables as well as auxiliary attributes. The classical estimators which use information on auxiliary variables are the ratio and regression estimators as given in H...

In this paper, analytic expressions are derived for the complex and real stability radii of non-monic polynomial matrices with respect to an arbitrary stability region of the complex plane. Numerical issues for computing these radii for different perturbation structures are also considered with application to robust stability of Hurwitz and Schur polynomial matrices.

We study the extended Euler sums and the alternating extended Euler sums and establish their explicit expressions in terms of Riemann zeta functions and Hurwitz zeta functions. Comparing with the existing results, ours are simpler and thus yield significantly better accuracy when Matlab is used for numerical calculation.

In this paper we construct trigonometric functions of the sum Tp(h, k), which is called Dedekind type DC-(Dahee and Changhee) sums. We establish analytic properties of this sum. We find trigonometric representations of this sum. We prove reciprocity theorem of this sums. Furthermore, we obtain relations between the Clausen functions, Polylogarithm function, Hurwitz zeta function, generalized La...

This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature of the dynamics. To do so we heavily rely on the relation between Routh reduction and cotangent symplectic reduction. The main results in this paper are: (i) we develop a class of so called magnetic Lagrangian systems ...

In this paper we derive necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for a finite set of linear positive systems. Both the state dependent and arbitrary switching cases are considered. Our results reveal an interesting characterisation of “linear” stability for the arbitrary switching case; namely, the existence of such a linear Lyapunov...

In this paper, we show some new generalizations of Nesbitt’s inequality. As applications of the generalizations, we obtain the minimum value related to the Riemann zeta function and the Hurwitz zeta function.

The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. These filters have applications in filtering video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The considered system is represented in state space by the first model of Fornasini-Marchesini with periodic coefficients. Then the stability of this...