Date of Award


Degree Type

Restricted to Claremont Colleges Dissertation

Degree Name

Engineering and Industrial Applied Mathematics Joint PhD with California State University Long Beach, PhD


Institute of Mathematical Sciences

Advisor/Supervisor/Committee Chair

Hen-Geul Yeh

Dissertation or Thesis Committee Member

Seok-Chul Kwon

Dissertation or Thesis Committee Member

Marina Chugunova

Dissertation or Thesis Committee Member

Allon Percus

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2020 Son H Doan


Channel Capacity, Communication System, Optimization, Power Grid, Smart Grid, Wireless Communication

Subject Categories

Engineering | Mathematics


Optimization can be found in all aspects of engineering. From digital signal processing (DSP) to antenna analysis, optimization is used to design digital filter and antenna beamforming. In this research, we have applied optimization to engineering technologies that have great impact to society such as the Power Grid and Wireless Communication. The utilization of power grid enables usage of renewable resources, power outage and failure prevention, energy savings/efficiency, electric vehicles (EVs) charging/discharging, and smart devices scheduling. The driving technology that makes smart grid possible is wireless communication. Utilization of wireless communication provides home networking, mobile phone services, and space communication. With optimization available as mathematical tools, we have been able to optimize the power grid operations by minimizing power loss and maintaining voltage fluctuation within bounds while integrating energy storage into the grid. In addition to optimizing the power grid, we have also applied optimization in wireless communication by maximizing the capacity of wireless channel while taking practical aspect of polarization-agile antennas into account.