Theory of Stochastic Local Area Channel Modeling for Wireless Communications
This dissertation outlines work accomplished in the pursuit of this degree. This report is also designed to be a general introduction to the concepts and techniques of small-scale radio channel modeling. At the present time, there does not exist a comprehensive introduction and overview of basic concepts in this field. Furthermore, as the wireless industry continues to mature and develop technology, the need is now greater than ever for more sophisticated channel modeling research.
Each chapter of this preliminary report is, in itself, a stand-alone topic in channel modeling theory. Culled from original reports and journal papers, each chapter makes a unique contribution to the field of channel modeling. Original contributions in this report include:
- joint characterization of time-varying, space-varying, and frequency-varying channels under the rubric of duality
- rules and definitions for constructing channel models that solve Maxwell's equations
- overview of probability density functions that describe random small-scale fading
- techniques for modeling a small-scale radio channel using an angle spectrum
- overview of techniques for describing fading statistics in wireless channels
- results from a wideband spatio-temporal measurement campaign
Together, the chapters provide a cohesive overview of basic principles. The discussion of the wideband spatio-temporal measurement campaign at 1920 MHz makes an excellent case study in applied channel modeling and ties together much of the theory developed in this dissertation.