**EEE 522 Research Methods **(3-0-7.5)

Scientific research methods, scientific research planning, scientific information access, scientific data collection and measurement methods, research proposal writing, research report preparation and reporting methods, basic rules and examples in article writing.

**EEE 580 Seminar **(0-0-7.5)

Students determine their interest fields, review the literature, evaluate, plan the reseach process and report their studies.

**EEE 590 Study of Thesis **(0-0-30)

Determining students interests; reviewing literature; planning research process; collecting, analyzing and commenting data; reporting the findings.

**EEE 501 Linear System Theory **(3-0-7.5)

Linear spaces: fields, linear independence, basis functions, direct sum decomposition, normed linear spaces, convergence concepts, Banach spaces. Linear transformations: null and range spaces, matrix representation, block diagonal form. Linear transformations defined by a square matrix characteristic and minimal polynomials, Jordan canonical form, functions of a square matrix. Hilbert spaces: inner product, concept of orthogonality, Hermitian matrices, projection theorem, systems of linear algebraic equations, general Fourier series.

**EEE 503 Probability and Random Processes **(3-0-7.5)

Probability concept, randomness, total probability theorem, Bayes' rule, discrete and continuous random variables, mass, density and distribution functions, expected value and moments, multiple random variables, joint distributions, relation between random variables, sample mean and variance, experimental distributions, limiting theorems, random processes, classification and characterization of random processes, correlation functions and properties, relation between two random processes, some important random processes, concept of power spectral density and its properties, white noise, spectrum estimation, cross-power spectrum

**EEE 505 Numerical Analysis **(3-0-7.5)

Basic functions and operations with MATLAB, functions of one variable, linear systems solutions, LU and QR factoriztions, eigenvalues and eigenvectors, iterative methods, nonlinear functions of several variables, interpolation, approximation, Fourier methods, differentiation and integration, differential equations by numerical methods,

**EEE 533 Information Theory** (3-0-7.5)

Mathematical analysis of discrete and continuous information sources and communication channels. Concepts of mutual information and entropy as mathematical measures for sources and channels. Introduction to rate distortion theory. Channel capacity, source and channel coding theorems.

**EEE 535 Communication Theory** (3-0-7.5)

Detection theory: binary M-ary hypothesis testing. Estimation theory. Representation of stochastic processes: Karhunen-Loeve expansion. Detection and estimation of signal parameters in white and colored noise. Estimation of continuous waveforms. Optimum linear realizable processor: Wiener-Hopf equation and its solution.

**EEE 536 Digital Communication Systems** (3-0-7.5)

Baseband pulse transmission. Modulation of digital signals: ASK, FSK, PSK, OAM, OPSK, MSK systems. Equalizers. Carrier and bit synchronization.

**EEE 538 Communication Network Analysis** (3-0-7.5)

Mathematics of Internet Architecture. Resource allocation as utility maximization. Statistical multiplexing. Scheduling: switch architectures, maximal matchings. Network Capacity, Max Weight scheduling. Scheduling in wireless networks: proportional fair scheduling in the downlink, channel-aware scheduling in cellular networks, ad hoc wireless networks, random access mechanisms, slotted aloha, and variants, q-csma. Joint optimization of transport, network, and MAC layers. Adaptive window flow control. Dijkstra and Bellman-Ford algorithms for link state and distance vector routing, applications on the Internet and wireless networks. Structured and unstructured P2P streaming.

**EEE 515 Bioelectricity and Biomagnetism** (3-0-7.5)

Vector analysis. Electrical sources and fields. Introduction to membrane biophysics. Action potentials. Volume conductor fields. Electrophysiology of the heart. Electrocardiography (ECG). Electric and magnetic lead fields. Electroencephalography (5670G). Magnetoencephalography (MEG).

**EEE 519 Medical Imaging** (3-0-7.5)

Physical principles of x-Ray NMR, ultrasound and nuclear imaging as applied to medicine. Mathematical formulation of the imaging problem for these modalities. Back projection, convolution, Fourier and Algebraic techniques of image reconstruction. Data acquisition techniques and hardware considerations. New imaging modalities and application areas.

**EEE 506 Advanced Statistical Signal Processing** (3-0-7.5)

Minimum Variance Unbiased Estimator, Best Linear Unbiased Estimator (BLUE), Sufficient Statistics, Asymptotic Properties of Estimators, Deterministic Parameter Estimation, Maximum Likelihood, Expectation Maximization, Least Squares, Method of Moments, Higher Order Statistics, Bounds for Deterministic Parameter Estimation, Quadratic Bounds, Cramer-Rao Bound, Random Parameter Estimation, Bayesian Methods, Minimum Mean Square Error (MMSE) Estimator, MAximum a-posteriori (MAP) Estimator, Bayesian Bounds, Modified Cramer-Rao Bound, Wiener Filtering, Kalman filtering, Recursive Estimation.

**EEE 574 High Voltage Techniques-I** (3-0-7.5)

High voltage system real time monitoring and control problems, Power system computer control centers, System control strategies, Control levels. System security concept, Contingency analysis, Configuration analysis, State estimation, Decoupled state estimation methods, Detection, identification and correction of gross measurement errors, Real-time observability analysis, power factor corrections.

**EEE 575 High Voltage Techniques-II **(3-0-7.5)

High voltage measurement and test techniques, protection devices, lightning protection systems, capacitive loading effects, surge protection, isolators, test standards, corona effect, high voltage and test transformers designs and tests

**EEE 525 Antenna Engineering** (3-0-7.5)

Review of field equivalence principles, surface wave antennas, microstrip antenna elements and arrays, broadband antennas, introduction to reflector antenna systems, smooth walled and corrugated horns.

**EEE 527 Microwave Engineering** (3-0-7.5)

Matrix representation of microwave networks. Properties of scattering parameters. Generalized scattering parameters. Microwave transistor amplifier design; gain stability, noise. Microwave transistor oscillator and mixer design. Simplified signal flow graph analysis. Coupled lines, directional coupler, Schiffman's differential phase shifter. Hybrids and power dividers. Richard's frequency: transformation, Richards' theorem. Kuroda's identifies.

**EEE 510 Analog Integrated Circuits** (3-0-7.5)

Review of bipolar transistor operation, small signal model, and single stage amplifiers. Power supply refection and voltage references. Noise models and calculations with noise. Equivalent noise generators for bipolar and MOS transistors. Harmonic distortion and inter-modulation. Application of noise and distortion analysis to RF circuit components (Low noise amplifiers, mixers and voltage-controlled oscillators, oscillators).

**EEE 511 Principles of Analog VLSI Design** (3-0-7.5)

NMOS and CMOS processes. Transistor circuit modeling. Current Mirror. Operational Amplifiers Pseudo analog techniques. Continuous time and switched capacitor filters. A/D and D/A conversion. Oscillator and phase locked loop design.