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# M.S. in Biomedical Engineering

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Hakkında yorumlar M.S. in Biomedical Engineering - Kurumda - Çankaya - Ankara

• Program tanımları
M.S. in Biomedical Engineering
EE 500 M.S. Research and Thesis
EE 518 Phys. Control System Analysis (3-0)3
EE 519 Medical Imaging (3-0)3
EE 590 Seminar (0-2)NC
5 Elective courses

Total Minimum Credit: 21
Number of courses with credit(min): 7

EE 500 M.S. Research and Thesis (Non-credit)
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.

EE 501 Linear Systems Theory I (3-0)3
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

EE 502 Linear Systems Theory II (3-0)3
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.

EE 503 Signal Analysis and Processing (3-0)3
Signal representation and classification. Deterministic signals. Random signals. Noise. Analytic signal and complex envelope. Signal processing systems. Signal sampling. Modulation and frequency translation. Spectrum analysis. Detection and estimation.

EE 504 Adaptive Signal Processing (3-0)3
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.

EE 505 Multiresolution Signal Processing (3-0)3
Fundamentals of signal decompositions. Time-frequency representations. Filter banks. Wavelets. Efficient algorithms. Signal compression and subband coding.

EE 507 Analog Filters (3-0)3
Review of continuous-time signals and systems. Concept of filtering. Butterworth, Chebyshev, elliptic, filters., etc. Frequency transformations. Phase and loss equalizers. Synthesis of passive filter networks. Active filters. Switched capacitor filters.

EE 508 Digital Filters (3-0)3
Review of discrete-time signals and systems. Infinite impulse response and finite impulse response digital filter design techniques. Wave digital filters. Finite wordlength effects.

EE 509 High Frequency Filter Design (2-2)3
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.

EE 511 Communication Electronics (3-0)3
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.
Prerequisite: EE 412

EE 512 Introduction to Optical Fiber Communications (3-0)3
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.

EE 513 Transport Phenomena in Semiconductor Devices (3-0)3
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.

EE 515 Bioelectricity and Biomagnetism (3-0)3
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 (EEG). Magnetoencephalography (MEG).

EE 517 Therapeutic and Prosthetic Devices in Biomedical Engineering (3-0)3
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.

EE 518 Physiological Control Systems Analysis (3-0)3
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.

EE 519 Medical Imaging (3-0)3
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.

EE 521 Analytical Methods for Electromagnetics (3-0)3
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.

EE 522 Numerical Methods for Electromagnetics (3-0)3
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.

EE 523 Electromagnetic Wave Theory (3-0)3
Fundamental concepts and theorems. Plane wave functions; modal expansion. Cylindrical wave functions. Spherical wave functions. Wave transformations.

EE 524 Electromagnetic Wave Propagation (3-0)3
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.

EE 525 Antenna Engineering (3-0)3
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.

EE 526 Antenna Theory (3-0)3
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.

EE 527 Microwave Engineering (3-0)3
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.

EE 528 Microwave Theory (3-0)3
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.

EE 531 Probability and Stochastic Processes(3-0)3
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.

EE 533 Information Theory (3-0)3
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.

EE 534 Coding Theory (3-0)3
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.

EE 535 Communication Theory (3-0)3
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.

EE 536 Digital Communication Systems (3-0)3
Baseband pulse transmission. Modulation of digital signals: ASK, FSK, PSK, OAM, OPSK, MSK systems. Equalizers. Carrier and bit synchronization.

EE 538 Telecommunication Networks (3-0)3
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.

EE 542 Computer Networks (3-0)3
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.

EE 543 Neurocomputers (3-0)3
Introduction, computer models of neuron. Supervized and unsupervized learning, Hopfield nets, Perceptrons. Backprogation learning algorithms. Self organization and memories. Neurocomputing for pattern recognition, expert systems, and optimization problems. Analogy between Neurocomputers and computation in Cerebral Cortex. Characteristic differences between Digital and Neurocomputers.

EE 544 Algorithms and Computational Complexity (3-0)3
Introduction to algorithms and computational complexity, how to compare the rates of growth of functions, recurrence relations, recursive algorithms, polynomial time algorithms and class P, Turing machines, intractable problems and the class NP, Reducability, NP completeness, Cook's theorem, Backtracking, Approximate algorithms for hard problems.

EE 545 Switching and Automata Theory I (3-0)3
Sequential machine theory. Hartmanis-Stearns algebraic theory of sequential machines. Regular expressions. Decomposition theory. Linear sequential machines. Probabilistic automata. Fault detection experiments.

EE 546 Switching and Automata Theory II (3-0)3
Information lossless machines. Codes. Unique decodability. Introduction to formal languages. Context-free and context-sensitive languages. Turing machines. Computability; decidability; unsolvability.
Prerequisite: EE 545

EE 547 Parallel Computer Architectures (3-0)3
Multiprocessors, interconnection schemes, shared memory vs. distributed systems, granularity, cache coherence, synchronization, pipelined processors, process creation and switching problems, load balancing, automatic detection of parallelism.

EE 548 Microprocessors and Applications (3-0)3
Intel 8086 microprocessor, 8087 and 8089 coprocessors, Intel 80286 microprocessor, pipelined execution, Motorola 68020 microprocessor, coprocessors of 68020, architecture of intel 80386, 80486 and 860 microprocessor, transputer.

EE 549 Parallel and Distributed Computing (3-0)3
Parallel and distributed architectures: models and complexity measures, communication aspects, synchronization issues. Synchronous algorithms: algorithms for systems of linear equations, direct and iterative methods, nonlinear problems, shortest paths and dynamic programming. Totally and partially asynchronous algorithms. Organization of asynchronous network of processors: termination detection, snap-shosts, synchronization using rollback, asynchronous simulation, maintaining communication with a center.

EE 551 Multivariable Control Systems I (3-0)3
State space characterization of linear multivariable systems. Concepts of controllability, observability and stability. Structural equivalence. Luenberger canonical forms. State feedback and pole placement. Design of observers. Dynamic output feedback. Strong observability. A survey of current research topics in control science.

EE 552 Multivariable Control Systems II (3-0)3
System models; system matrices; decoupling zeros; standard forms of system matrices. Stability and design of multivariable control systems using frequency domain methods: Inverse Nyquist array and characteristic loci design techniques, and their applications to industrial plants. A survey of current research topics in multivariable control systems.

EE 553 Optimization (3-0)3
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.

EE 554 Optimal Control Theory (3-0)3
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.

EE 555 Stability Theory of Dynamical Systems (3-0)3
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.

EE 557 Estimation Theory (3-0)3
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.

EE 558 System Identification and Adaptive Control (3-0)3
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.

EE 559 Intelligent Control (3-0)3
Uncertainty models and information representation: types of uncertainties and uncertainty measures. Intelligent control methodologies: learning control, fuzzy control, neurocontrol.

EE 561 Advanced Static Power Conversion (3-0)3
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.

EE 563 Generalized Electrical Machine Theory (3-0)3
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.

EE 564 Design of Electrical Machines (3-0)3
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.

EE 566 Electrical Heating and Applications (3-0)3
Review of heat transfer theory. Electrical phenomena related to furnaces. Types and classification of electric furnaces and applications. Arc furnaces: basic structures,cooperational principles, the arc furnace as a load on the network. The theory of induction heating. Induction melting, through heating and hardening installations. Static power sources for induction furnaces. Economics of induction heating.

EE 568 Selected Topics on Electrical Machines (3-0)3
Varying subjects in line with modern practice. Stepping motors; types, excitation schemes, characteristics, definitions and terminology. Static torque characteristics. Position error under load, single step response, damping, determination of pull-out torque characteristics. Stepping motor drive circuits. Open and closed loop control. Stepping motor selection. DC servo motors, types, characteristics, drivers, applications.

EE 569 Special Topics in Power Electronics (3-0)3
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.

EE 571 Wave Propagation in Power Systems (3-0)3
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.

EE 572 Insulation Coordination (3-0)3
Lightning, switching and temporary overvoltages. Disruptive discharges and withstand voltages. Lightning performance of transmission lines. Switching surge design. Insulation coordination of HV substations.

EE 573 Power System Stability and Dynamics (3-0)3
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.

EE 574 Power System Real-Time Monitoring and Control (3-0)3
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.

EE 575 Advanced High Voltage Techniques (3-0)3
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.

EE 576 High Voltage Measurement Techniques (3-0)3
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.

EE 577 Advanced Power System Protection (3-0)3
Investigation of current and voltage waveforms during faults and other conditions. Distance and carrier-aided distance protection. New protection schemes applicable to high-speed protection. Digital relaying. Developments in integrated protection, control and measurement systems.

EE 578 Power System Planning (3-0)3
Power system planning concepts. Load forecasting. Generation system planning. Electric power generation resources of Turkey. Transmission planning. Engineering, economics and feasibility studies.

EE 579 Economic Operation of Power Systems (3-0)3
Modern power system operation, economic dispatch, transmission losses, linear and nonlinear programming techniques, unit commitment, hydrothermal coordination, interchange evaluation, power system security and rescheduling.

EE 583 Pattern Recognition (3-0)3
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.

EE 586 Artificial Intelligence (3-0)3
Exploiting natural constraints. Problem solving; Description matching and goal reduction, finding solution paths, games. Logic. Knowledge representation. Natural Language understanding. Applications of AI.

EE 587 Introduction to Robotics (3-0)3
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.

EE 588 Robot Hand: Dynamics of Manipulation(3-0)3
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.

EE 590 Seminar (0-2)NC
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 EE 500 M.S. Thesis.

EE 7XX Special Topics in Electrical and Electronics Engineering (3-0)3
Courses not listed in catalogue. Contents vary from year to year according to interest of students and instructor in charge.

EE 8XX Special Studies (4-2)NC
M.S. students choose and study a topic under the guidance of a faculty member, normally his/her advisor.