We present an optimal single-winner preferential voting system, called the “GT method” because of its interesting use of symmetric two-person zero-sum game theory to determine the winner. Game theory is not used to describe voting as a multi-player game between voters, but rather to define when one voting system is better than another one. The cast ballots determine the payoff matrix, and optim...

We present a high frequency model for scattering present in SAR imagery. The model retains dominant terms of the electromagnetic scattering response of canonical scattering objects using solutions from both Physical Optics and the Geometric Theory of Diffraction. Both frequency and aspect dependence of scattering centers are modeled. It is applicable to single polarization as well as multiple p...

Here we present an approach to problems of diffraction that has its roots in a number of well-established theories such as the geometric theory of diffraction, the method of parabolic equations, the theory of Wiener functional integration, and the theory of stochastic processes. We start our analysis of the Helmholtz equation following closely the scheme of the ray method, but instead of approx...

The uniform theory of diffraction (UTD) plus an imposed edge diffraction extension is used to predict the backscatter cross sections of dihedral corner reflectors which have right, obtuse, and acute included angles. UTD allows individual backscattering mechanisms of the dihedral corner reflectors to be identified and provides good agreement w?ith experimental cross section measurements in the a...

The uniform theory of diffraction (UTD) plus an imposed edge diffraction extension is used to predict the backscatter cross sections of dihedral corner reflectors which have right, obtuse, and acute included angles. UTD allows individual backscattering mechanisms of the dihedral corner reflectors to be identified and provides good agreement w?ith experimental cross section measurements in the a...

This paper presents a prediction of the millimeterwave multipath propagation characteristics in the typical urban environment. To analyze the propagation in an outdoor environment, the three dimensional model based on the geometrical optics and the uniform geometrical theory of diffraction is employed. Prediction by the three dimensional ray tracing method needs a detailed map, which records lo...

Ray-tracing and UTD (Uniform Theory of Diffraction) techniques are already widely applied to site-specific radio propagation modeling for wireless applications. This paper briefly presents the software tool Radio-Tracer that uses efficient algorithms to calculate dynamically the exact visibility graph of an environment taking into account the position of both transmitter and receivers and the m...