BROADBAND SPATIOTEMPORAL DIFFERENTIAL-OPERATOR REPRESENTATIONS FOR VELOCITY-DEPENDENT SCATTERING

Broadband Spatiotemporal Differential-operator Representations for Velocity-dependent Scattering

A novel approach based on spatiotemporal differentialoperators is developed here for broadband, velocity-dependent scattering. Unlike the spectral-domain representations, the new method facilitates a compact formulation for scattering by arbitrary excitation signals, in the presence of moving objects. In free space (vacuum), relativistically exact formulas are developed. After developing the ge...

Differential Equation of Sensitivity Matrix for Final Velocity Constraint

Differential Modulation for Broadband

Title of Dissertation: DIFFERENTIAL MODULATION FOR BROADBAND SPACE-TIME/COOPERATIVE WIRELESS COMMUNICATIONS Thanongsak Himsoon, Doctor of Philosophy, 2006 Dissertation directed by: Professor K. J. Ray Liu Department of Electrical and Computer Engineering Among various diversity techniques to combat fading in wireless channels, spatial diversity through MIMO coding scheme is an effective way to ...

Boundary Representations for Operator Algebras

All operator algebras have (not necessarily irreducible) boundary representations. A unital operator algebra has enough such boundary representations to generate its C-envelope.

High-Velocity Estimates for the Scattering Operator and Aharonov-Bohm Effect in Three Dimensions

We obtain high-velocity estimates with error bounds for the scattering operator of the Schrödinger equation in three dimensions with electromagnetic potentials in the exterior of bounded obstacles that are handlebodies. A particular case is a finite number of tori. We prove our results with time-dependent methods. We consider high-velocity estimates where the direction of the velocity of the in...