This paper has established a new theoretical framework that allows us to analyze the ultra-wideband system performance using the closed form formulations. A new generalized time-domain multipath channel based on the geometric theory of diffraction/uniform theory of diffraction (GTD/UTD) framework is incorporated into the system bit-error rate and signal-to-noise ratio by modifying the existing system model. Closed form expressions for important geometric configurations are derived in the time domain for the first time. Some interesting insights into the physical mechanisms and system analysis are observed through explicit expressions and numerical results.

A generalized time domain multipath channel and its application in ultra-wideband (UWB) wireless optimal receiver design-Part II: physics-based system analysis

This paper extends our previous work mainly in three aspects. Our main efforts are made analytically although a few numerical results are used for special cases to illustrate the concepts. Our interest lies in understanding basic mechanisms and their impact on system design. First we derive some new exact and approximate formulations suitable for pulse shape and system performance analysis. Second, first time we have obtained the numerical results of the system parameters that are impacted by the mechanisms of interest. Some new physical mechanisms are unearthed based on our analytical relationships. Third, we derive the optimal receiver template for the generalized multipath model.

A generalized time domain multipath channel and its application in ultra-wide-band (UWB) wireless optimal receiver design: system performance analysis

The paper discusses wave propagation and field distributions in slab dielectric waveguides having homogeneous isotropic chiral material. The analysis is based on field expansions in the guide and in the upper and lower half spaces. Enforcing the boundary conditions at the waveguide interfaces result in eigenvalue equations for the hybrid propagating and guided modes. The theory is illustrated by calculating dispersion curves and field distributions for weakly guiding chiral slab waveguides.

Dispersion curves and fields for a chiral slab waveguide

The Applicability of the Tap-Delay Line Channel Model to Ultra Wideband

Through an example, for the first time it is theoretically shown that introducing chirality to the core of an optical fibre can change its modal dispersion, including its waveguide dispersion characteristics, drastically, and thus reduce the overall chromatic dispersion in a certain wavelength range. This may provide a novel approach to modifying and managing the chromatic dispersion of a fibre.

Dispersion in chiral optical fibres

The conventional complex channel model for wireless indoor propagation is extended to include the frequency dependence of individual rays. Multiple ray paths are resolved using high-resolution digital signal processing algorithms. The Cramer - Rao bound is used as a benchmark where a newly developed modified eigen-matrix pencil method is proven to be most successful.

A novel high-reslolution algorithm for ray path resolving and wireless channel modelling

The effect of chirality on the modal dispersion characteristics of optical fibers is investigated. We can tune the chiral admittance to design transmission links with zero dispersion or frequency equalizers with some specific frequency characteristics.

Dispersion properties of chiral optical fibers

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A novel high-reslolution algorithm for ray path resolving and wireless channel modelling

Dispersion properties of chiral optical fibers