Master Program in Electrical Engineering

Basic antenna parameters. Transmission loss, radar equation. Retarded potentials, thin linear wire antennas. Hertzian dipole, small dipole, finite length and half-wavelength dipoles. Vector potentials, field equivalence principle. Rectangular and circular apertures. Horns. Induced current, parabolic reflectors. Array antennas, uniform and non-uniform aperture distributions, scanning arrays, pattern synthesis, planar arrays.

The constructive elements and approaches in approximation theory. The concept of the best approximation and the best approximation by algebraic and trigonometric polynomials in different metrics. Basic theorems for the uniform approximation and generalization. Weighted polynomial approximations. The concept of the best approximation to the final weight interval on the real line. The presence of isolated singularities of interior.


Probability Theory and stochastic processes, random signals and noise, Analogue Signals and Digital Transmission, Digital Coding

Linear systems analysis, discrete time signals and systems, Z

transforms, Properties, Realization structures for digital filters,

Recursive and non-recursive functions, stability criteria, Design of

low pass, high pass and band pass filters, frequency response shaping,

window functions, finite word length effects, signal processing

techniques for random signals, Discrete Fourier Transform Decimation

in frequency and time, Fast Fourier Transforms, 2D signal processing.

Single-phase and three-phase controlled rectifiers, Distortion, displacement and power factor. Commutation overlap. Firing control. Voltage-fed inverters, the McMurray and McMurray-Bedford inverters. Voltage control in inverters, PWM control techniques. Current-fed inverters; load-commutated, force-commutated, auto-sequential-commutated inverters. DC and AC drives; scalar and vector control methods, slip power recovery control. 

Definitions of physical systems. Elements of graph theory, basic postulates: circuit and cut-set equations. Formulation of system equations in matrix form. Continous-Time Systems. Sampeling Theory. Discrete-Time Systems.Transforms: Z, Fourier, and Laplace.

The course is designed to give the graduate students all the fundamental concepts in digital image processing with emphasis in filtering, enhancement, restoration, compression, segmentation and recognition of images.

Numerical Linear Algebra

Students be able to understand why numerical methods are needed to solve realistic or practical problems in electromagnetics and why this need will increase. Also can be able to choose between the various numerical methods to use the right method for a particular problem.

Protection systems overview; protective devices; coordination and sequencing of relays; grounding practices; impedance protection. Methods of power systems operation and control; load-frequency control, automatic generation control. Modeling power system protection and control using power system analysis software, emphasizing renewable resources.