All ETDs from UAB

Advisory Committee Chair

Murat M Tanik

Advisory Committee Members

Christopher A Girkin

Yehia Massoud

Chittoor V Ramamoorthy

Gregg L Vaughn

Earl B Wells

Document Type

Dissertation

Date of Award

2012

Degree Name by School

Doctor of Philosophy (PhD) School of Engineering

Abstract

The growth of the service industry also comes with problems and complications because of its inherent error proneness. As the complexity of systems increases, whether the system of interest is a service product or a natural phenomenon, it only proves that there is always a need for improved modeling approaches. In this study, we approach systems from an information theoretical perspective. More specifically, we model systems by noisy communication channels and analyze them by a structure of relationships whose elements are commonly used analysis tools in science and engineering. We call this modeling approach and the structure of relationships it is built on as "noisy communication channel modeling and analysis framework." A noisy communication channel model is a mechanism that accepts a set of inputs and yields a set of outputs. The formal mechanisms to exploit the relationships in the proposed framework include roots of unity, special permutations and polynomials, Fourier series, and uniform polygons. For our purposes, each of these formal mechanisms represent a modeling and/or analysis tool-set they belong to: complex, combinatorial, Chebyshev, Fourier analyses, and graph theory. Relating these tool-sets to noisy communication channels -- hence enabling us to look at the vast set of engineering problems they deal with from an information theoretical perspective -- makes the framework powerful. The scope of the study is to establish the relationships among the mentioned formal mechanisms of these tool-sets and the noisy communication channel concept. Although some of the resulting mappings of concepts are included, further research can potentially study mapping of different concepts in information theory to concepts in each of the tool-sets, resulting in reinterpretation of the concepts involved. A quantum energy modeling is included as a case study for validation and better understanding of the framework.

Included in

Engineering Commons

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