Paul Gendron, PhD

Concepts of probability and statistics as they apply to random signals and their effect on system analysis and design. Topics covered include basic probability, random variables, probability density and distribution functions, joint distributions, conditional distributions, functions of a random variable, mean, variance, covariance, characteristic functions, random processes, correlation functions, power spectral density, linear systems, linear filters, systems that maximize signal-to-noise ratio, and selected applications and designs from communication theory, sonar and radar, and control theory.

Probability theory, signals and linear networks, Fourier transforms, random processes and noise are reviewed. Analog communications including amplitude and frequency modulation with and without noise are studied. Digital communications including baseband pulse modulation, quantization, sampling theory, digital pulse shaping, matched filter, Nyquist criterion and error rates due to noise are covered.

Investigations of a fundamental and/or applied nature intended to develop design techniques, research techniques, initiative and independent inquiry. A written project report has to be completed by the student and approved by the student's advisor. Admission is based on a formal proposal endorsed by an advisor and approved by the ECE Graduate Program Director.

Random variables and probabilistic description of signals and systems. The course provides the analytical tools for studying random phenomena in engineering systems and provides graduate students with an extensive treatment of probability theory, Bayes theorem, random variables, distribution and density functions, conditional distributions, moments, functions of random variables, characteristic functions, stochastic processes, Gaussian processes, stationary processes, correlation functions, power spectral density, response of systems to random inputs, mean square error estimation, filtering and prediction, and noise analysis. The course prepares students for a wide range of courses in communications, signal processing, acoustics, control, and other areas of engineering in which random signals and systems have an important role.

Investigations of a fundamental and/or applied nature, intended to develop design techniques,research techniques, initiative, and independent inquiry. A written thesis must be completed in accordance with the rules of the Graduate School and the College of Engineering. Completion of the course requires a successful oral defense open to the public and a written thesis approved by the student's thesis committee unanimously and the ECE Graduate Program Director. Admission to the course is based on a formal thesis proposal endorsed by the student's graduate committee and submitted to the ECE Graduate Program Director.

Investigations of a fundamental and/or applied nature, intended to develop design techniques,research techniques, initiative, and independent inquiry. A written thesis must be completed in accordance with the rules of the Graduate School and the College of Engineering. Completion of the course requires a successful oral defense open to the public and a written thesis approved by the student's thesis committee unanimously and the ECE Graduate Program Director. Admission to the course is based on a formal thesis proposal endorsed by the student's graduate committee and submitted to the ECE Graduate Program Director.

Investigations of a fundamental and/or applied nature, intended to develop design techniques,research techniques, initiative, and independent inquiry. A written thesis must be completed in accordance with the rules of the Graduate School and the College of Engineering. Completion of the course requires a successful oral defense open to the public and a written thesis approved by the student's thesis committee unanimously and the ECE Graduate Program Director. Admission to the course is based on a formal thesis proposal endorsed by the student's graduate committee and submitted to the ECE Graduate Program Director.

Investigations of a fundamental and/or applied nature, intended to develop design techniques,research techniques, initiative, and independent inquiry. A written thesis must be completed in accordance with the rules of the Graduate School and the College of Engineering. Completion of the course requires a successful oral defense open to the public and a written thesis approved by the student's thesis committee unanimously and the ECE Graduate Program Director. Admission to the course is based on a formal thesis proposal endorsed by the student's graduate committee and submitted to the ECE Graduate Program Director.

Research for and preparation of doctoral dissertation proposal. The dissertation proposal must provide a thorough survey of the research activities in the research topic area and it must present original and innovative research ideas and preliminary results as well as a defined research scope and directions. PhD students must have passed this course before registering for doctoral dissertation research credits. This course may also be applied toward MS thesis or project credit if PhD student leaves prior to completing their dissertation. In all cases, required deliverables are an oral defense and a written document approved by the student's committee.Graded P/F.

Research for and preparation of doctoral dissertation proposal. The dissertation proposal must provide a thorough survey of the research activities in the research topic area and it must present original and innovative research ideas and preliminary results as well as a defined research scope and directions. PhD students must have passed this course before registering for doctoral dissertation research credits. This course may also be applied toward MS thesis or project credit if PhD student leaves prior to completing their dissertation. In all cases, required deliverables are an oral defense and a written document approved by the student's committee.Graded P/F.