Thesis (Ph. D.)--Drexel University, 2004. / Includes abstract and vita. Includes bibliographical references (leaves 39-42).

Thesis (Ph. D.)--University of Missouri-Columbia, 1996. / Typescript. Vita. Includes bibliographical references (leaves 109-115). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 1996. / Typescript. Vita. Includes bibliographical references (leaves 109-115). Also available on the Internet.

M.Ing. (Electrical and Electronic Engineering) / This research project sets out to investigate passive L-C coupling circuits as an alternative to transformer-capacitor couplers, with the prime intention to reduce the cost of coupling in power-line communications, hence the title “Compact, Economical Coupling Circuits for Low-Voltage Power-line Communications”. This chapter first presents a short introduction to Power-Line Communications, and then briefly reviews relevant topics surrounding this project. Also discussed, in general, are the standards and regulations for power-line communications i.e. the CENELEC EN50065.1 Standard and the IEEE 1901.2 Standard. This information intends to give the reader guidelines and relevant protocols and/or rules when designing and building communication devices for PLC. This information will also help us in our designs and experimental set-ups as we proceed with this project. The reader will also be introduced to the concept of filtering and impedance matching in communication systems. Emphasis will be laid on the required output signal frequency profile of a coupling band-pass filter. The chapter will define filtering in terms of communications and also discuss the more significant and important parameters in filter circuits. The last section of this chapter will touch on impedance matching and the concept of maximum power transfer, so as to attain maximum signal transfer to the receiver-end.

The main purpose of this dissertation is to investigate directional constraint qualifications and necessary optimality conditions for nonsmooth set-constrained mathematical programs. First, we study sufficient conditions for metric subregularity of the set-constrained system. We introduce the directional version of the quasi-/pseudo-normality as a sufficient condition for metric subregularity, which is weaker than the classical quasi-/pseudo-normality, respectively. Then we apply our results to complementarity and Karush-Kuhn-Tucker systems. Secondly, we study directional optimality conditions of bilevel programs. It is well-known that the value function reformulation of bilevel programs provides equivalent single-level optimization problems， which are nonsmooth and never satisfy the usual constraint qualifications such as the Mangasarian-Fromovitz constraint qualification (MFCQ). We show that even the first-order sufficient condition for metric subregularity (which is generally weaker than MFCQ) fails at each feasible point of bilevel programs. We introduce the directional Clarke calmness condition and show that under the directional Clarke calmness condition, the directional necessary optimality condition holds. We perform directional sensitivity analysis of the value function and propose the directional quasi-normality as a sufficient condition for the directional Clarke calmness. / Graduate / 2021-07-07

The wireless network design problem (WNDP) considers how best to place a set of antennas so the antennas can send and receive the maximum possible amount of data subject to network-performance constraints (e.g., channel-availability constraints). To date, little research has considered how to choose the network-antenna layout that maximizes throughput under these conditions. Also, past research has mainly investigated networks with omnidirectional antennas only, not other types of antennas. A bi-level mixed-integer program is constructed to solve this problem using a cutting-plane approach. The data produced from this model demonstrate an extension of the WNDP under more realistic conditions than have been simulated previously. The questions answered by this research are as follows: (1) what are the effects on network throughput of utilizing directional or sectored antennas instead of omnidirectional antennas, and (2) what is the maximum possible throughput when imposing constraints related to differing interference types and channel availability?

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