Course Content

An orientation course introducing the students to the engineering in general and electrical and electronics engineering in particular with a discussion of the past, present and future of major areas. Course emphasizes the ethical issues in electrical engineering.

Course Content

An orientation course introducing the students to engineering in general and to electrical and electronics engineering in particular with a discussion of the past, present and future of major areas. The course also aims to emphasize the ethical issues and current debates in electrical engineering and bring career and research opportunities to the attention of students. A general portrayal of electrical engineering is presented by means of practical, hands-on design projects and technical tutorials.

Course Content

Lumped circuits: Kirchoff`s laws, basic lumped elements, circuit graphs, circuit equations, linear and nonlinear resistive circuits, first and second order dynamic circuits. Introduction to operational amplifier circuits.

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Sinusoidal steady-state analysis. Three-phase circuits. Coupled inductors. Frequency response. Linear time-invariant dynamic circuits: state equations, natural frequencies, complex frequency domain analysis. Time-varying and nonlinear circuits.

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Fundamental circuit laws. Resistive circuit analysis. Sinusoidal steady-state response of circuits. Three-phase circuits. Magnetic circuits and transformers. Electromechanical energy conversion. Semiconductor elements, transistor biasing and amplifiers. Operational amplifiers.(Offered to non-EE students only)

Course Content

Basic semiconductor concepts. Physical electronics. Physics of p-n junction diodes, bipolar junction transistors (BJTs)and field-effect transistors. Transistor biasing and small-signal models. Secondary effects in transistors. Dynamic models for diodes and transistors. p-n-p-n switching devices. Modeling concepts for computer-aided design and introduction to circuit analysis with computer software.

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Safety Issues. Voltage, current, resistance and power measuring instruments; signal generators; oscilloscopes. Terminal characteristics of linear and nonlinear resistors, capacitors and inductors. Experiments on resistive operational amplifier, RC RL and RLC circuits, transformers, impedance measurement.

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Practical usage of basic instruments for measurements and analysis of electronic circuits. Experiments on rectifier diodes, Zener diodes, transistors (BJT and FET) and on circuits composed of these devices: AC and DC analyses, biasing, thermal effects.

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Review of vector analysis. Electrostatic fields in vacuum and material bodies. Dielectric properties of materials. Electrostatic energy and forces. Steady electric current and conductors. Static magnetic fields in vacuum and in materials. Magnetic energy and forces. Quasistatic fields and electromagnetic induction.

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Axiomatic definition of probability spaces. Combinatorial methods. Conditional probability; product spaces. Random variables; distribution and density functions; multivariate distribution; conditional distributions and densities; independent random variables. Functions of random variables; expected value, moments and characteristic functions.

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Circuit laws and basic elements. Resistive circuits. Analysis methods. Network theorems. Operational amplifiers. Capacitors and inductors. First and second order circuits. Sinusoidal steady-state analysis.

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Semiconductor diodes. Diode characteristics. Diode circuits. Transistors, BJT, FET and integrated circuits. Inverters. TTL, MOS, ECL structures. Logic Gates. Flip-flops. Bistable, astable and monostable multivibrators. Semiconductor memories. ROM, RAM structures. Programmable logic arrays.(Offered to non-EE students only)

Course Content

Minimum four weeks (20 working days) of practical work in an organization with a sizable electrical or electronics operation. Special attention should be given to most but not necessarily all of the following subjects: production, operation, maintenance, management and safety. A formal report as described in the Summer Practice Guide is to be submitted.

Course Content

Memory, causality, stability, invertibility, linearity and time-invariance Linear time-invariant systems: impulse response, convolution. Functions of a complex variable, complex series and integrals. Transform met hods: Continuous time Fourier series and transform, discrete-time Fourier series and transform, Frequency response. Sampling theory. Laplace and z-transforms, system functions.

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Mathematical modeling: Transfer functions, state equations, block diagrams. System response; performance specifications. Stability of feedback systems: Routh-Hurwitz criterion, principle of argument, Nyquist stability criterion, gain margin and phase margin. Design of dynamic compensators. Analysis and design techniques using root-locus. State-space techniques: Controllability, observability, pole placement and estimator design. Discrete-time control systems.

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Maxwell`s equations in time and frequency domains. Electromagnetic energy and power. Wave equation. Uniform plane electromagnetic waves; reflection and refraction. Introduction to transmission lines, waveguides, antennas and radiation.

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Correlation of signals. Energy and power spectral densities. Hilbert transform. Principles of modulation. Stochastic processes: Characterization, correlation functions, stationarity, ergodicity, power spectral density, transmission of random signals through linear systems. Special stochastic processes. Noise.

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Basic electrical quantities. Fundamental circuit laws. Sinusoidal steady-state analysis and transformers. Three phase circuits. Principles of electromechanical energy conversion. DC and AC machines. Electrical safety.(Offered to non-EE students only).

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Operation of electronic devices. BJT and FET small signal amplifiers; power amplifiers; operational amplifiers. Silicon controlled rectifiers. Digital circuits and systems. Selected electronic systems. Electronic instruments.(Offered to non-EE students only).

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Basic single-stage transistor amplifiers and frequency responses. Multi-stage amplifiers. Feedback in amplifiers. Differential pair stages. Current mirrors. Operational amplifiers. Power amplifiers. Power supplies and regulators.

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Large signal transistor models. TTL, MOS and CMOS logic gates: Inverters, input and output circuits, NAND and NOR gates; static and dynamic analyses. Regenerative circuits: Astable, monostable, bistable multivibrators and Schmitt triggers. Introduction to VLSI. Static and dynamic memories: RAM, ROM, EPROM, 5670PROM, etc. A/D and D/A converters.

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Regulated DC Power Supplies, Multistage Amplifiers. High Frequency Effects. Differential Amplifiers. Feedback Amplifiers. Tuned Circuits. Power Amplifiers. Operational Amplifiers. Optoelectronic Circuits.

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Transistor (BJT) switching circuits. Introduction to logic circuits. TTL an CMOS NAND gates. Paralel adders, subtractors and complementers. Multiplexers, code converters. Comparators with hysteresis. Multivibrator circuits using CMOS gates. Op-amps and 555 timers. Flip flops and counters. Introduction to hardware description language (verilog-HDL)

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Binary systems and Boolean algebra. Boolean function simplification. Combinational logic. Sequential synchronous logic. Registers and counters.

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Electrical safety. Electromagnetic circuits. Properties of ferromagnetic materials. Single-phase and three phase transformers. Per Unit System. Principles of electromechanical energy conversion: Linear and nonlinear systems; singly and multiply excited translational and rotational systems. DC machines: Theory, generators, motors, speed control.

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Electromagnetic fields created by AC electric machine windings: pulsating and rotating magnetic fields, emf induced in a winding. Induction machines: equivalent circuit, steady-state analysis, speed control. Synchronous machines: equivalent circuit, steady-state analysis, stability. Single-phase induction machines. Special electrical machines.

Course Content

Introduction to power systems. Real and reactive power concepts. Reactive power compensation. Three-phase system analysis. Modeling of acrial lines and cables. Modeling of transformers, generators and loads. Per-unit system. Three-phase fault phenomena and analysis. Protective devices. Electrical grounding and safety.

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Modeling dynamic systems in engineering, industry and economics. Time domain analysis. Controllability and observability. Fourier series, Fourier and Laplace transforms, transfer function. Relationship between time and frequency domain representations.Offered to non-EE students only.

Course Content

Minimum four weeks (20 working days) of practical work in an organization with a sizable electrical or electronics operation. Special attention should be given to most but not necessarily all of the following subjects: maintenance, production planning, management, quality control and design. A formal report as described in the Summer Practice Guide is to be submitted.

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Importance and advantages of discrete time system models in control. Time domain analysis of discrete-time systems. Sampled data systems. Stability; translation of analog design. State space design methods: observer theory, introduction to optimal design methods. Quantization effects.

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State-space analysis methods. Isocline Lienard`s methods, classification of singularities. Analytic techniques of periodic phenomena: Perturbation method. Stability definitions. Lyapunov`s second method; Popov stability criterion. The method of harmonic realization: Describing functions. Dual-input describing functions. Equivalent linearization and oscillations in nonlinear feedback systems.

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Digital control of linear and nonlinear electromechanical systems; components of a digital control system; simulation models; Proportional-Derivative (PD) position control; lead-compensator speed control; pole-placement based state-space control of nonlinear cart-pendulum system; Optimal Linear Quadratic Regulator (LQR) based state-space control of flexible-joint and inverted pendulum systems; sampling rate selection and discrete-time controller design; more advanced advanced electromechanical control examples.
Prerequisite: EE 302.
Corequisite: EE 402.

Course Content

Example modeling of liquid, economic, biological, chemical processes. Distributed parameter systems and their lumped parameter approximations. Models and effects of actuators and measurement devices. Control modes and architectures: on-off, proportional, integral, derivative (PID) control modes. PID design methods: direct design, Intemal Model Control (IMC) based design, Zygler-Nichols closed-loop design. Control loop architectures: single loop, cascade, disturbance feedforward, feedforward-feedback, and IMC. Pure time-delay in the control loop: modeling, stability effects and compensation methods.

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Identification, measurement and instrumentation for the control of industrial processes. Review of stochastic processes. Minimization of the integral square error for stochastic inputs. Fundamental identification techniques, sine, step, pulse inputs, pseudo-random binary sequences and correlation methods. Continuous cycling and reaction curve methods for the adjustment of controller parameters. Fundamentals of sensors and instrumentation for temperature, pressure, level, flow, gas composition and pH. Pneumatic and electronic transmitters, converters, controllers. Selection A/D, D/A converters.

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Nonlinear controlled sources: piecewise linear, square-law, exponential and differential pair characteristics. Low level amplitude modulation and analog multiplication. Narrowband transformer like coupling networks. Nonlinear loading of tuned circuits. Tuned large signal transistor amplifiers and frequency multipliers. Sinusoidal oscillators. Frequency mixers and converters.

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Design techniques for rapid implementations of very large-scale integrated (VLSI) circuits, Metal-Oxide-Semiconductor (MOS) technology and logic. Structured design. Design rules, layout procedures. Design aids: layout, design rule checking, logic, and circuit simulation. Timing. Testability. Projects to design and lay out circuits.

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Analysis and design of bipolar junction transistor (BJT) and metal oxide semiconductor field-effect transistor (MOSFET): multi- stage amplifiers. Analog integrated circuit (IC) building blocks/sub-circuits. Biasing circuits. Differential pairs. Complementary Metal Oxide Semiconductor (CMOS) operational amplifier topologies. Stability analysis and pole-zero cancellation in operational amplifiers. Differential and regenerative comparators.
Prerequisites: EE 311.

Course Content

Fundamentals of X-ray, generation and detection of X-rays, X-ray diagnostic methods, X-ray image characteristics, biological effects of ionizing radiation. Fundamentals of acoustic propagation, generation and detection of ultrasound, ultrasonic diagnostic methods, biological effects of ultrasound. Fundamentals of radionuclide imaging, generation and detection of nuclear emission, radionuclide imaging methods, radiation dosimetry and biological effects. Fundamentals of magnetic resonance imaging, generation and detection of NMR signal, imaging methods, biological effects of magnetic fields.

Course Content

Fundamentals of biomedical signals, measurement and instrumentation; biomedical transducers; membrane biophysics, electrophysiology of excitable cells, membrane models; theory of bioelectrical signals, electrocardiography (ECG), electroencephalography (EEG), electromyography (EMG); biopotential electrodes; biopotential amplifiers and instrumentation techniques, electrical and patient safety; examples of monitoring, therapeutic and prosthetic devices.

Course Content

Introduction to quantum theory of solids, semiconductor fundamentals and carrier transport, p-n and metal-semiconductor junctions, bipolar junction transistors (BJTs) and metal oxide semiconductor field-effect transistors (MOSFETs): principles, modeling and advanced issues, heterojunctions and advanced electron devices, optical properties of semiconductors, optical devices: photodetectors, solar cells, light emitting diodes and lasers.
Prerequisites: EE 212.

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Antenna parameters. Linear antennas. Influence of earth on antenna radiation pattern and impedance. Radiation from slot and aperture antennas. Antenna arrays and the general array formula. Baluns. Receiving antenna theory. Elements of groundwave, tropospheric and ionospheric propagation.

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TEM mode transmission lines. Field and distributed circuit analysis. Frequency and time domain analysis. Waveguiding structures. Rectangular and circular waveguides. Impedance transformations and matching techniques. Scattering matrix of microwave junctions.

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Passive reciprocal and nonreciprocal devices. Electromagnetic resonators. Periodic structures and microwave filters. Microstripline structures and coupled lines. Solid state microwave devices.

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Discrete-time signals and systems. Discrete Fourier transform. Sampling and reconstruction. Linear time-invariant systems. Structures for discrete-time systems. Filter design techniques. Fast Fourier Transform methods. Fourier analysis of signals using discrete Fourier transform. Optimal filtering and linear prediction.

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Introduction to real-time processing hardware and software, Signal types, Fast Fourier Transform, Correlation, Detection of signals in noise, Decimation, Interpolation, Filtering, Phase locked loop, System identification and adaptive filtering, Least Mean Square algorithm, Optimum filtering, Finite-impulse response Wiener filter, Two-dimensional signals, Transforms, and Filtering.

Course Content

Amplitude modulation (AM) and other linear carrier wave(CW) modulation techniques. Frequency/phase modulation (FM/PM).Superheterodyne receivers and applications. Noise in CW modulated systems. Sampling and quantization, Pulse Code Modulation(PCM). Geometric representation in signal space. Antipodal and orthogonal signaling schemes. Basic types of baseband and passband binary digital modulation.

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M-ary digital modulation. Spectrum of digital modulation schemes. Transmission in band-limited channels. Synchronization. Wireless channel models. Multi-carrier modulation .Multi-antenna communication .Introduction to information theory.Introduction to coding theory.

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Introduction to geometric optics; ray theory and electromagnetic wave theory of optical propagation in fibers. Optical fibers and their transmission characteristics. Cables, connectors and couplers. Introduction to optical sources and detectors. Principles of optical communication systems, performance analysis and design.

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Arrays, stacks, queues, linked lists, trees, hash tables, graphs: Algorithms and efficiency of access. Searching and sorting algorithms. Problem complexity, computational complexity

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Introduction to operating systems, concurrent processes and threads, critical section and synchronization, process scheduling, memory management, virtual memory, file systems, Input/Output management, deadlocks.

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Finite precision arithmetic and numerical errors. Solution of linear system of equations. Numerical solution of nonlinear equations, interpolation, numerical differentiation and integration. Basic concepts of optimization, local and global optimality, convexity. Optimality conditions for unconstrained optimization; method of steepest descent, Newton s method, conjugate direction methods; least-squares solutions. Optimality conditions for problems with equality and inequality constraints; method of Lagrange multipliers and penalty function method.

Course Content

Seven layered ISO-OSI model, the medium access sublayer, ALOHA and local area network protocols, I5670E 802.2 and ethernet, the data link layer, error detection and correction, data link protocols, the network layer, routing, congestion control, internetworking, the transport layer, Internet and Internet tools.

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Asynchronous logic system. Algorithmic state machines. CPU organization. Construction of arithmetic logic unit. Process control architectures. Instruction modalities. Microprogramming. Bit slicing.

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Arithmetic processor design, arithmetic algorithms. Memory organization, parallel processing, multiprocessors systems. Peripheral organization. I/O processing. I/O controllers.

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Microprocessor architecture; a particular microprocessor software (to be selected). I/O interfacing. Interrupt processed I/O. Direct memory access. Microprocessor based communications.

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Intruduction to various aspecets of modeling and transformation of information and knowledge in computers, computational intelligence paradigms: neural networks, evolutionary algorithms, fuzzy systems, Bayesian networks, machine learning, intelligent algorithms, biologically inspired computation.

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Basic operating characteristics and classification of electrical drives. Solid state DC motor control. Solid state AC motor control. Dynamic behavior of electrical machines. Electric braking. Starting of electrical machines. Intermittent loads. Drive applications. Modern methods of reactive power compensation. Electrical energy saving.

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Power switches and their characteristics. Power converter definitions, classification. VTA method. Midpoint and bridge rectifiers: non-ideal commutation, harmonics, input power factor, utility-factor, winding utilization and unbalances in rectifier transformers. Applications.

Course Content

Introduction to forced commutated circuits, analysis, classification of techniques. Centretap inverter. Voltage-fed inverters; waveshaping; PWM, stepped and square-waveforms, voltage regulation, harmonics. Current-fed inverters; analysis, effect of SCR turn-off time on voltage waveform, overlap. DC-DC switching converters; time-ratio control, effect of loading, parameter optimization. Device failure mechanisms. Thermal considerations, maximum ratings, protection of switching elements. Series and parallel operation of switching elements.

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Basic structure of electrical power systems. System matrices. Symmetrical three-phase faults Symmetrical components. Unbalanced system analysis. Power flow analysis.

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Automatic generation control. The new market environment. Economic operation of power systems. Power system stability. Voltage stability. Transient stability analysis.

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Basic considerations. Load characteristics and forecasting methods. Operational characteristics and selection of cables, aerial lines and transformers. System voltage regulation. Power factor correction. Distributed energy resources. Generation characteristics and forecasting methods. Basics of power quality. Monitoring technologies. Instrument transformers. Smart Grid concept and its features.

Course Content

Field analysis: experimental and numerical (finite difference, finite element and charge simulation) methods and applications. Electrical breakdown in gases: ionization processes. Townsend s breakdown criterion, Paschens Law, bread-down in electronegative gases, time lags. Streamer-Kanal mechanism, breakdown in non-uniform field and corona. Electrical break-down of liquids: breakdown mechanism of pure and commercial liquids. Electrical breakdown of solids: Intrinsic, electromechanical, thermal and erosion mechanism. Insulating materials: dielectric gases; insulating oils and solid dielectrics.

Course Content

Generation and measurement of high AC, DC and impulse voltages and impulse currents: AC to DC conversion and electrostatic generators. Testing transformers and series resonant circuits. Impulse voltage generator circuits. Operation, design and construction of impulse generators. Impulse current generator circuits. Sphere and uniform fieldgaps. Electrostatic, generating and peak voltage measuring voltmeters. Voltage dividers. Measurement of impulse voltages and currents. Dielectric measurements.

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Current and voltage transformers. Overcurrent protection. Comparators and static relay circuits. Differential protection and its application to generators, transformers and bus bars. Motor protection. Pilot wire protection of feeders. Introduction to distance and other protection systems.

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Fundamentals of design, project management, design tools, simulation standards and safety, quality concepts, ethics, design experience through a team project.

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Continuation of Engineering Design I with topics covering statistics, reliability, engineering economics, ethics and completion of a team project with a final report and presentation.

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Ray optics, ray transfer matrix, wave optics, interference and diffraction; beam optics; electromagnetic optics; electromagnetic waves in nonlinear, inhomogeneous, and dispersive media; Lorentz and Drude models; polarization optics; Jones matrix representation of polarization; interaction of photons with atoms; Einstein coefficients; light amplification and lasers; laser types.

Course Content

Intruduction to various aspecets of modeling and transformation of information and knowledge in computers, computational intelligence paradigms: neural networks, evolutionary algorithms, fuzzy systems, Bayesian networks, machine learning, intelligent algorithms, biologically inspired computation.

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Fundamental limits in the feedback loop, advanced controller design techniques, PID design, polynomial approach, Smith predictor, anti-windup, model predictive control, control design examples, numerical solution of ordinary differential equations ,explicit and implicit numerical solution methods, numerical stability.

Course Content

Vector-space concepts in relation to signals and systems; signal subspaces; signal representation in
different bases; norms and inner products; systems as operators; projectors; linear algebraic and
statistical approaches to solving linear equations; least-squares problems; linear minimum mean square
error estimation; solving large-dimensional linear equation systems; applications in signal processing
including filter design, approximation, interpolation, data compression, signal estimation and inverse
problems.

Course Content

Program of research leading to M.S. degree arranged between the student and a faculty member. Students register to this course in all semesters while the research program or write up of thesis is in progress.Student must start registering to this course no later than the second semester of his/her M.S. study.

Course Content

Linear spaces: fields, linear independence, basis, 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, direct sum decomposition of Cn, 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

Course Content

Differential equations: existence and uniqueness, linear differential equations, stability of solutions, variational equation, periodically time-varying differential equations. Difference equations. Dynamical system representations: equivalence, linearity, time-invariance. Differential system representations: impulse response, system function, stability, algebraic equivalence, duality, controllability, observability, realizations. Transform techniques.

Course Content

Random processes. Power spectral density. Auto-regressive processes. Moving-average processes. Periodic processes. Spectral decomposition. Whitening filter. Innovations. Stochastic signal models. Yule-Walker equations. Linear-time invariant filtering of random processes. Estimation. Linear Estimators. Linear minimum mean square error estimator. Wiener filter. Optimal FIR filters. Optimal IIR filters. Filtering, prediction, smoothing applications. Reduced dimension stochastic signal representation. Karhunen-Loeve transform.

Course Content

Overview of discrete-time stochastic processes. Wiener filter theory. Linear prediction. LMS algorithm and its variants. Frequency domain adaptive filtering; RLS, QR-RLS algorithms and their connection to Kalman Filtering. Order recursive adaptive filters; QRD-LSL algorithm and its variants. Analysis and discussion of adaptation algorithms and their convergence properties. Computational complexity considerations. Filter structures and algorithms for fast adaptation and real-time processing. Numerical stability of fast algorithms. IIR adaptive filters. Applications of adaptive filtering.

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Fundamentals of signal decompositions. Time-frequency representations. Filter banks. Wavelets. Efficient algorithms. Signal compression and subband coding.

Course Content

Synthesis of lumped element filters. Lumped element filter design using prototypes. Circuit transformation for realization of lumped element filters. Synthesis of distributed element filters. Distributed element filter design using prototypes. Circuit transformation for realization of distributed element filters.

Course Content

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).

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Small and large signal HF amplifier design. HF oscillators. Noise considerations in RF amplifiers. RF amplifiers. Microstrip and stripline techniques. Transistor and amplifier measurement techniques. Computer aided design of amplifiers.

Course Content

Optical propagation in fibers, attenuation, scattering, dispersion, polarization and non-linear phenomena in trasmission. Optical sources and optical detectors. Coupling of sources and detectors to optical fibers, splicing and optical connectors. Non-coherent receivers and their performance, non-cohorent optical fiber communication systems. Coherent optical fiber communication systems with heterodyne and homodyne demodulation. Optical fiber amplifiers, frequency division multiplexing and time division multiplexing.

Course Content

Crystal structure and band theory of electronic conduction, carrier scattering, the Boltzmann Transport Equation, low and high field transport in GaAs, InP and other III-V compounds, properties of interest for device applications, semiclassical nonstationary charge transport models, submicron device modeling and simulation techniques, Monte Carlo simulations.

Course Content

Infrared radiation fundamentals, basics of thermal imaging, characteristics of infrared detectors, photon sensors and uncooled thermal detectors, characterization of infrared systems, industrial and other applications of thermal imaging

Course Content

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).

Course Content

BioMEMS introduction. Microfabrication process review. Microfluidic control with electrostatic and electromagnetic techniques. Micro total analysis systems. Lab-on-a-chip devices. Biosensor arrays and implantable devices. Electronic interface for biosensors. Rare cell detection. Microsurgical tools, microneedles and drug delivery

Course Content

Cardiovascular instrumentation, prosthesis and assist devices. Neuromuscular prosthetics and orthotics. Respiratory therapy equipment and instrumentation. Anaesthesia delivery apparatus and applications. Sensory communication aids. Internal prosthetic and orthotics. Electrosurgery and related equipment. Instrumentation related to metabolic systems. Medical imaging systems. Radiation therapy.

Course Content

Definition of and examples on homeostasis. Body fluid compartments and compartmental analysis. Models of the cardiovascular and respiratory systems. Hormonal control mechanisms. Neutral control mechanisms. Regulation of body fluid volumes and electrolytes. Mathematical modelling, simulation and identification of physiological systems; associated numerical methods.

Course Content

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

Course Content

Sturm-Liouville problems, one dimensional Green's functions in closed form and in eigenfunction series, separation of variables, higher dimensional Green's function in rectangular, cylindirical and spherical coordinates, relation with the solution of EM related inhomogeneous partial differential equations, Watson transformation, plane-wave spectrum representations, the T-Matrix method, vector wave functions, dyadic Green's functions in closed form and wave function expansions.

Course Content

Numerical solution of matrix equations and matrix eigenvaluen problems. Method of moments. Finite difference and finite element methods. Variational methods. Spectral domain approach. The use of above methods in the solution of various antenna and scattering problems, and in the analysis of passive microwave components.

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Fundamental concepts and theorems. Plane wave functions; modal expansion. Cylindrical wave functions. Spherical wave functions. Wave transformations.

Course Content

Wave propagation fundamentals. Ground wave propagation; spherical earth problem. Tropospheric propagation; troposcatter systems, iono-spheric propagation. Measurement and modelling of environmental noise. Antenna noise temperature.

Course Content

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.

Course Content

Induced current and aperture integration formulations, the Huygens-Fresnel principle, geometrical optics, the plane wave spectrum representation, fast analysis of aperture type antennas, fast and slow wave structures, array analysis and synthesis techniques.

Course Content

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.

Course Content

Microwave classic filter design. Generalized coupled line analysis. Coupled line equivalent circuits. Exact microwave filter synthesis. Analysis of arbitrary connected microwave networks. Sensitivity analysis of microwave circuits. Theory of broad-band matching.

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Course Content

Review of probability theory and random variables. Sequence of random variables, convergence concepts. Stochastic processes: correlation and power spectra, stationarity, linear systems with random inputs, second order processes; stochastic continuity, differentiation and integration in quadratic mean; Gaussian processes; Poisson processes, shot noise; Markow processes; orthogonal expansions, least mean square error estimation.

Course Content

Mathematics of Internet Architecture. Resource allocation as utility maximization. Statistical multiplexing. Scheduling: switch archtectures, 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 in the Internet and wireless networks. Structured and unstructured P2P streaming.

Course Content

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.

Course Content

The arithmetic of Galois fields. Linear block codes with particular emphasis on cyclic codes, such as BCH and RS codes. Convolutional codes. Efficient decoding algorithms for block and convolutional codes. Concatenation and interleaving of codes.

Course Content

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.

Course Content

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

Course Content

Overview of existing analog and digital telephone networks. Review of voice digitization, digital transmission and multiplexing. Digital Switching. Network spnchronization. Control and Management. Fundamentals of fiber optic transmission systems. Data and Integrated services digital networks (ISDN). Traffic analysis.

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Course Content

The layered architecture, Local Area Networks, data link protocols, error correction with FEC and ARQ, routing, flow control, transport protocols, application layer protocols, recent subjects in networking.

Course Content

Various aspects of neurocomputers emphasizing deep learning approaches. Brainlike computing, characteristics of neurocomputers. Deterministic, probabilistic and spiking neuron models. Feed forward and recurrent neural networks. Deep structures of feed forward and recurrent neural networks. Deep learning: supervised and unsupervised machine learning algorithms for various deep neural networks. Neuromorphic chips.

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The course is designed to give the students the fundamentals of algorithms and the theory of computational complexity. The course will help the students to have a sound background on analysing different algorithms and a good perspective for their design and efficient implementations.

Course Content

Sequential machine theory. Hartmanis-Stearns algebraic theory of sequential machines. Regular expressions. Decomposition theory. Linear sequential machines. Probabilistic automata. Fault detection experiments.

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Information lossless machines. Codes. Unique decodability. Introduction to formal languages. Context-free and context-sensitive languages. Turing machines. Computability; decidability; unsolvability.

Course Content

Mathematical preliminaries on functions of several variables. Convexity and convex functions. Unconstrained minimization problems. Computational algorithms such as steepest descent, Newton and quasi-Newton methods. Constrained minimization problems and Kuhn-Tucker theory. Fundamental theorems of linear optimization and the simplexs algorithm.

Course Content

Examples of optimal control problems. Calculus of variations and necessary conditions of optimality. Pontryagin's maximum principle. Minimum time and minimum energy problems. Linear-quadratic optimal control problems. Computational algorithms such as steepest descent, variation of extremals, quasilinearization.

Course Content

Review of dynamical system models, classification of equilibrium solution. Results on 2-dimensional systems; Poincare-Bendixon theory for limit cycles. Liapunov theory; definitions of stability and applications to linear and nonlinear feedback systems. Input/output stability; definitions and derivation of frequency response criteria for stability.

Course Content

Gauss-Markov process and stochastic differential equations. Bayesian estimation theory. Maximum likelihood, linear minimum variance and least-square estimations. Properties of estimators; error analysis. State estimation for linear systems, Kalman-Bucy and Wiener filters. Smoothing and prediction. Nonlinear estimation. Filter implementation. Applications to communication, control, system identification and biomedical engineering.

Course Content

System models: internal and external representations. Volterra and Wiener characterizations for nonlinear systems. Explicit and implicit system identification. Use of periodic test signals, binary m-sequences. On-line parameter identification; stochastic approximation, random search algorithm and the extended Kalman filter. The linear quadratic Gaussian optimal control problem. Various adaptive control strategies. Stability considerations. Learning and hierarchical intelligent control systems, bionic systems, man-machine control systems.

Course Content

Uncertainty models and information representation: types of uncertainties and uncertainty measures. Intelligent control methodologies: learning control, fuzzy control, neurocontrol.

Course Content

Overloaded modes of operation of rectifiers, characteristics. Reactive power and harmonics in ac-dc converters, cascade use of converters. Commutation techniques in inverters; McMurray circuit and its modified forms, voltage control and harmonic elimination. ASCII inverters. Chopper structures; improving the performance, optimization of circuit elements.

Course Content

Some basic concepts of electrical machines. Generalized machine concept. Transformation in circuits and machines. Matrix equation of electrical machines. Measurement of machine parameters. Methods of solution and computation. Steady state, transient, balanced and unbalanced operations. Approximate models of electrical machines. Small oscillations. Applications.

Course Content

Induction machine: Classification, design principles, electric and magnetic loading, determination of dimensions, selection of slot numbers, reduction of parasitic torques, windings, calculation of parameters. Synchronous machine design: determination of dimensions and winding details, determination of characteristic curves and terminal voltage. Optimum design of induction and synchronous machines. Transformer design.

Course Content

Drives in industry, drive types. Modelling of induction machines. Complex vector analysis of induction machines. Principles of vector control and field orientation. Vector control types. Parameter identification. Parameter sensitivity.

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Varying subjects in line with modern practice. Motion control Systems. Principles of Sizing Gearing and Torque Production Permanent Magnet materials. Squarewave PM Brushless Motor- Drives. Sine wave PM Brushless Motor-Drives. AC drives with PM and Synchronous Reluctance Hybrid Motors. Switched Reluctance Drives.

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Modern power semiconductors characteristics, trends. Power integrated circuits. AC-to DC converters; unity power factor converters. DC- to DC converters; switch mode power converters, resonant converters, DC-to AC converters; configurations, soft switching, resonant types, pulse width modulation techniques. A review of selected applications.

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Wave equations. Modelling of aerial lines and cables. Modal analysis of transmission lines. Power line carrier communications. Mode coupling. Solution of transmission line transients using lattice, Fourier transform and time domain methods.

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Power system transient and dynamic stability, stability analysis with classical model, synchronous machine modeling using Park's equations, multimachine transient stability analysis, automatic voltage regulators, speed governers and stabilizers.

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Power system real time monitoring and control problem, Power system computer control centers, Supervisory Data Acquisition and Control System (SCADA), 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.

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Insulation principles in HV equipment. lightning discharges and overvoltages generated in HV systems. Corona discharges and corona loss calculations. Electromagnetics interference generated by HV systems. Pollution flashover problem of HV insulators. Overvoltage limiting devices, high voltage insulators, bushings and circuit breakers. Insulation design of high voltage transformers, cables and capacitors. Testing of HV equipment.

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High voltage cathode-ray-oscillography, interference problems. Resistive, capacitive and mixed high voltage dividers, high frequency characteristics. Generating voltmeters. High-ohmic series resistors. Electrostatic voltmeters. Resonance capacitor transformers and voltage transformers. Sphere gaps. Peak value and impulse current measurements. Bridge circuits for dielectric measurements. Detection and measurement of partial discharges.

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Power system planning concepts. Load forecasting. Generation system planning. Electric power generation resources of Turkey. Transmission planning. Engineering, economics and feasibility studies.

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Modern power system operation, economic dispatch, transmission losses, linear and nonlinear programming techniques, unit commitment, hydrothermal coordination, interchange evaluation, power system security and rescheduling.

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Introduction to machine perception, Bayes decision theory. Parameter estimation and supervised learning; nonparametric techniques. Linear discriminant functions, unsupervised learning and clustering. Scene analysis, applications of pattern recognition.

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Image Formation and Image Sensing, Binary Images and their Geometrical and Topological Properties, Region and Image Segmentation, Edge and Corner Detection, Photometric Stereo, Shape from Shading, Motion Field and Optical Flow, Photogrammetry and Stereo

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Introduction to probabilistic methods for mobile robots and autonomous systems. Recursive state and parameter estimation using Bayes filter. Probabilistic robot motion, actuator and motion models. Probabilistic robot sensing and perception, sensor models. Gaussian and non-parametric filters for estimation. Canonical problems of localization and mapping. Simultaneous localization and mapping (SLAM). Introduction to probabilistic planning and control.

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Exploiting natural constraints. Problem solving; Description matching and goal reduction, finding solution paths, games. Logic. Knowledge representation. Natural Language understanding. Applications of AI.

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Evolution of robots, elements of robotic systems, mathematics of manipulators, homogeneous transformations, endeffector position and orientation, kinematics, inverse kinematics, differential changes, task planning and path planning. Manipulator dynamics.

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Tree-structured manipulators. Multiple manipulators. Leading robot hands. Hand gross motion control. Obstacle avoidance techniques. Collision free wrist path planning. Hand preshape analysis. Grasp planning. Contact analysis. Hand fine motion control. Manipulability; Stability; Compliance.

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M.S. students working on a common area of Electrical Engineering choose, study and present a topic to a group under the guidance of a faculty member. Presentation must reflect the preliminary results of student’s research work or a literature survey on a topic assigned by the instructor. Student performance is evaluated according to the style of presentation and depth of understanding. Student must be registered to the course 5670 500 M.S. Thesis.

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Ontology and epistemology; research methodology; scientific analysis; theory development; data collection and evaluation techniques; technical practice and use of technology; dissemination; ethics in research.

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Program of research leading to Ph. D. degree arranged between the student and a faculty member. Students register to this course in all semesters while the research program or write up of thesis is in progress. Student must start registering to this course no later than the third semester of his/her Ph. D. study.

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Metric spaces, separability and completeness. Banach's fixed point theorem and its applications. Normed spaces, linear operators on normed spaces. Inner product spaces and projections. Approximation theory in normed and inner product spaces.

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Review of basic concepts. Nonparametric methods (periodogram and correlogram based methods). Parametric methods for rational spectra (AR, MA, and ARMA modeling). Parametric methods for line spectra (models of sinusoidal signals in noise). Spatial methods (MUSIC, Min-norm, ESPRIT, etc.). Description of the cases that can be handled via the following approaches: Higher-order statistical analysis, adaptive estimation, time-frequency analysis.

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Array geometry, definitions,assumptions and mathematical models for narrowband and wideband processing.Classical methods of direction-of-arrival estimation.Optimum and close optimum methods of direction-of arrival estimation.Performance limits.Beamforming and beamspace processing.Virtual array processing.Source localization methods.Array imperfections and array calibration.

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Fundamental principles, operation and design of integrated solid-state sensors and sensing systems. Sensor technology, including micromachining and wafer bonding. Microstructures for the measurement of visible and infrared radiation, pressure, acceleration, temperature, gas purity and ion concentrations. Merged process technologies for sensors and circuits. Data acquisition circuits and advanced sensing systems. Microactuators and integrated microsystems.

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Basic concepts in plasma physics and gaseous electronics. Formation and heating of the plasma. Possible approaches to controlled fusion. Introduction to laboratory systems of controlled fusion. Problems of confinement. Plasma oscillations and diagnostics.

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An introduction to quantum electronics. Laser plasmas. Laser optics. Principal lasers. Laser systems and applications. Safety problems.

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Review of electromagnetic theory relevant to optoelectronics. Propagation of rays, spherical waves and Gaussian beams. Optical resonators. Modulation and detection of optical radiation. Noise in optical detection and generation. Interaction of light and sound. Lasers and laser applications. Fiber optics and applications.

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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.

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Introduction to CMOS circuits. MOS transistor theory. CMOS processing technology. Circuit characterization and performance estimation. CMOS circuit and logic design. Structured design and testing. Symbolic layout systems. CMOS subsystem design. System case studies.

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Band structure and transport properties of III-V compound semiconductors. III-V semiconductor technology, crsystal growth, material characterization and device fabrication techniques, physics, modeling and integrated circuit applications of III-V metal semiconductor field-effect transistors (MESFETs), modulation doped field-effect transistors (MODFETs), and heterojunction bipolar transistors (HBTs).

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General design principles and performance evaluation of pulsed radars. Statistical detection theory and radar cross-section of targets. CW, FM and Doppler radars. Target tracking radars.

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Radar receiver design. High power microwave generation and amplification; Radar antennas. Detection of radar signals in noise and waveform design. Propagation of radar wave and radar clutter. Electronic counter measure systems in radar.

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A general review of ray optics, wave optics, beam optics, fourier optics and photon optics. Electromagnetic theory of optics and polarization; optical waveguides; fiber optics; optical resonators optical fiber sensors; theory, applications and system considerations. An overview of the other principal application of optics.

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Digital models for the speech signal. Time domain models for speech processing. Digital representations of the speech waveform. Short time Fourier analysis of speech. Sub-Band coding. Transform coding. Linear Predictive coding of speech. Homomorphic speech processing. Delayed decision coding. Performance measurement in digital speech processing systems. Introduction to speech recognition. Digital signal processors.

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Two-dimensional signals and systems. Image sampling and quantization. Image Transforms: 2-D Discrete Fourier Transform, 2-D Discrete Cosine Transform. 2-D filter design. Image perception. Image enhancement. Image restoration. Image coding.

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Application of Fourier theory to the analysis and synthesis of optical imaging and optical data processing systems. Propagation and diffraction of light. Fresnel and Fraunhofer approximations. Fourier transforming properties of lenses. Image formation with coherent and incoherent light. Transfer function of imaging systems. Optical data processing and holography.

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Fundamentals of digital video progressing. Digital video representation. Video enhancement and filtering. 2-D motion estimation/tracking. Standards conversion. De-interlacing. Video coding basics. Emerging international standards for image and video compression. Digital TV. Video communication.

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Characterization of fading multipath channels. Digital signalling over frequency selective and nonselective fading channels. Diversity techniques. Coded waveforms for fading channels. Direct sequence spread spectrum signals. Frequency hopping spread spectrum signals. Synchronization of spread spectrum signals. Some applications.

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Transformations of points and lines. Two and three dimensional transformations; translation, rotation, scaling and sheving. Projections and perspective transformations., Plane curves; Nonparametric and parametric curves and representations. Space curves; representation, splines and B-splines. Surface description and generation; bilinear, bicubic, coons, Bezier and B-spline surfaces.

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Multimedia formats and compression; multimedia applications and network services; source and traffic models in networks; simulation of discrete event systems; quality of service (QoS) parameters of multimedia traffic; packet scheduling; queue management; QoS in IP and ATM; label switching techniques; QoS routing for multimedia; wireless network architectures: Cellular, Ad Hoc, Sensor networks; congestion control; mobility and handoff management; contemporary and future architectures.

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Microprocessor-based hardware and software systems. Software engineering methods. Software quality. Cohesion, coupling, span of control. Recent approaches to software design. Software testing and implementation. Software maintainability. Hardware-software integration. Software project management. Recent topics in software engineering.

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Power system modeling; sparse data structures; computational issues for various power system problems; solution of large sparse linear systems: factorization, ordering, inverse factors, sparse vector methods, compensation, partial matrix refactorization, applications; vector processing and parallel processing: implementation issues and applications in power.

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This course aims to enrich vision of students by expanding their perspective and awareness regarding technical, social and cultural issues through seminars that will be organized by the instructor of the course. The seminars will be delivered by invited speakers from national and international academia and industry.

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Basic structure of liberalized electricity markets, principles of system operation, competition, wholesale electricity trading, bilateral and multilateral electricity trading, eligible customers, national and cost based tariffs, balancing and settlement task, system operational reserve, quality of electricity, retail wheeling, electricity demand management, transmission system regulation and congestion, ancillary services, regulation of distribution system, electricity trading by renewables, back-up and capacity trading, energy regulatory authorities, monopoly, cross-monopoly, oligopoly.

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Physics of operation, electrical properties and terminal characteristics of CMOS devices used in the implementation of very large scale integrated circuits with an emphasis on the process, device structure and design issues created by the submicron scaling of device structures in modern Silicon CMOS technologies.

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Review of statistical channel models, fading multipath channels frequency/time selectivity. Classification of diversity in time/frequency/space domains. Review of diversity techniques, spread spectrum, RAKE receiver. Capacity of wireless channels. Adaptive modulation and coding. Multiple antenna systems. Multicarrier modulation, OFDM. Iterative methods in coding for wireless channels. Multiuser systems. Iterative and adaptive structures in receiver design. Application on physical layers of 802.11 and DVB-T standards.

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Target models, clutter models, radar waveforms, ambiguity function, slow-fast time sampling, MTI techniques, clutter rejection, coherent-incoherent processing, detection, CFAR processing.

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Sensor array processing, signal model for array elements, narrowband and wideband processing, correlated and coherent (multipath) signals, practical methods for direction of arrival estimation, optimum methods for direction of arrival estimation, beamforming, array mapping, source localization, triangularization, time difference of arrival technique.

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Charge particle beams, phase space of charged particle beams, beam emittance, beam generated forces, computational techniques, electron beams in plasmas, generation of radiation with electron beams, high power microwave sources, cathodes, windows and breakdown, diagnostics, interaction with targets, future challenges

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Definition of power quality and power quality parameters. Review and evaluation of the standards and grid codes on power quality. Sources and mitigation methods for voltage quality problems and harmonics. Signal processing methods for detection, identification and monitoring of voltage quality problems, harmonic and inter-harmonics and flicker and harmonic contributions of industrial plants. Advanced power factor correction methods. Introducing current technology on power quality monitoring.

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Multidimensional signals, transforms, and sampling. Propagation and diffraction of waves; optical imaging systems. Fourier transforms in antennas. The ambiguity function; radar imaging systems. Diffraction imaging systems. Reconstruction of images; the frameworks of inverse problems in imaging; ill-posedness and regularization; analytical and numerical optimization tools. Statistical image reconstruction methods (likelihood and Bayesian methods); iterative algorithms; sparse models and compressed sensing. Tomographic imaging with different types of tomography data.

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The course is constructed from seminars that will be organised by Graduate School of Natural and Applied Sciences. The seminars will cover technical, cultural, social and educational issues to prepare the graduate students following the PhD programs.

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Microwave circuit design concern of attenuators,phase shifters,power amplifiers, mixers, oscillators,technologies of mikrowave circuits;mikrowave circuit measurement and calibration;passive and active component modeling; layout and production concern,yield analysis; packaking of microwave circuits; system aspects of microwave circuits;

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Review of core and edge network architectures.Introduction to in-vehicle and industrial communication networks.Quality of Service and real-time operation concepts.Basic router architectures.Fabric scheduling.Quality of Service schedulers.Packet processing and lookup.Switch fabric architectures.IPv6 and Next Generation Networks.In-vehicle networking system requirements and architectures.CAN Bus,LIN.Byteflight,FlexRay.Scheduling for CAN Bus and FlexRay.Industrial Communication Networks.Real time Ethernet.

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Probability, graphs, Bayesian networks, Markov networks, temporal models, state observation models, Gaussian networks, exact inference, map inference and approximate inference (sampling) in these models, probability distributions, graph parameter learning with complete and incomplete data, graph structure learning by complete and incomplete data.

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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.

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Application of estimation theory in power system real time monitoring. Definitions of robustness, breakdown points, outliers, leverage points, and their physical reflections in practical systems. Mestimatiors for power system state estimation. Least absolute value estimator. Cyber security concept in power systems. Phasor Measurement Units (PMUs). Hybrid power system state estimation. Distributed state estimation for power systems. Definitions of dynamic states of power systems. Dynamic power system state estimation. Observability restoration in power systems. Optimal measurement placement in power systems.

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Introduction to discrete event systems, modeling, regular languages, finite state automata, state minimization , supervisory control loop, controllability, nonblocking, maximally permissive supervision, state attraction, optimal attraction, modular control, locally modular control, nonconflict, abstraction-based nonblocking verification, abstractiob-based supervisory control, natural observer, local control consistency, failure diagnosis, diagnosis automaton, diagnosability verification, analysis algorithms, synthesis algorithms.

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Vehicle fundamentals and longitudinal dynamics. Electrified vehicle topologies and drive system components. Rail traction. Electric machines in traction applications. Permanent magnet synchronous machine drives. ınduction motor machine drives. Synchronous and switched reluctance machine drives. Design of electric machines for traction applications. Drive system simulations.

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