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Electrical Engineering (ECE)

74 courses in the 1968–69 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.

Notes

Department of Electrical Engineering

Faculty listed in 1968–69

A.R.M. Noton, B.Sc. (Sheffield), B.Sc. (London), Ph.D. (Cambridge) Professor and Chairman of the Department R.G. Anthes, B.A.Sc., M.A.Sc. (Toronto) Professor and Associate Chairman of the Department

E.L. Heasell, B.Sc., Ph.D. (Imperial College, London} Professor H.C. Ratz B.A.Se. (Toronto), S.M. (Massachusetts Institute of Technology), Ph.D. (Saskatchewan} Professor K.D. Srivastava, B.Sc. (Roorkee), Ph.D. (Glasgow) Professor L.A.K. Watt, B.Sc. (Manitoba), M.S. (Chicago), Ph.D. (Minnesota) Professor L.Y. Wei, B.S. (National Northwestern College, China), M.S., Ph.D. (flinois} Professor J.B. Ellis, B.A.Sc. (Toronto), D.I.C., M.Sc. (Imperial College, London}, Ph.D. (Michigan State) Associate Professor S.N. Kalra, B.Sc. (Punjab), M.S., Ph.D. {Illinois} Assaciate Professor J.S. Keeler, B.A.Sc., M.A.Sc. (Toronto), Associate Professor R.H. MacPhie, B.A.Sc. (Toronto), M.S., Ph.D. {Illinois} Associate Professor R.S. Ramshaw, B8.Sc., Ph.D. (Nottingham) Associate Professor J. Reeve, B.Sc., M.Sc., Ph.D. {Manchester} Associate Professor

P.H. O’N. Roe, B.A.Sc. {Toronto}, M.Sc., Ph.D. (Waterloo) Associate Professor D.J. Roulston, B.Sc. (Belfast), D.I.C., Ph.D. (Imperial College, London) Associate Professor N. Bergman, B.Eng. (McGill) M.S. {State University of New York, Buffalo) Assistant Professor

S.C. Choo, B.Sc., Ph.D. (Imperial College, London) Assistant Professor Y.L. Chow, B.Eng. (McGill), M.A.Sc., Ph.D. (Toronto) Assistant Professor G.J. Dufault, B.A. (Ottawa), B.Sc. (Carleton) Assistant Professor

J.A.A. Field, BE. (Saskatchewan), M.A.Sc., Ph.D. (Toronto) Assistant Professor J. Hanson, B.A.Sc. (Toronto), D1.C., M.Sc. (Imperial College, London} Assistant Professor

T. Kameda, B.S., M.S. (Tokyo), Ph.D. (Princeton) Assistant Professor W.N. Meikle, B.A.Sc., M.A.Sc. (Toronto) Assistant Professor N. Thedchanamoorthy, B.Sc. (Ceylon), Ph.D. (Cambridge) Assistant Professor R.G. van Heeswijk, Dipl. Ing. (Delft, Holland) Assistant Professor W.J. Vetter, B.A.Sc. (Toronto), M.A.Sc., Ph.D. (Waterloo) Assistant Professor P.A. Vuorinen, B.A.Sc. {Toronto}, Ph.D. (London) Assistant Professor

L. Zafiriu, B.Sc. (American College, Istanbul), M.Sc. (Syracuse) Assistant Professor

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ECE 10 Introduction to Electrical Engineering

Review of DC circuits. Sinusoidal and complex notations on voltage, current and impedance. Analysis of simple AC circuits. Power and power factor. Polyphase Circuits. Induced voltage and inductance. D.C. machines. Transformers, induction motors and synchronous motors. Amplification properties of vacuum triodes and transistors. Diode and power supplies.

Prerequisite: Physics 11

3 lectures, 3 hours alternate tutorial and laboratory, one term.

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ECE 12 Electrical Circuits

Review of resistive circuits; voltage-current relationships, Kirchhoff’s laws, mesh current and node voltage equations; Thevenin’s, Norton, and Su-

perposition theorems; time-domain analysis of RL, RC and RLC networks; phasors, sinusoidal voltages and currents and frequency-domain analysis; power and energy; transients and S-domain analysis; electrical measurements.

Prerequisites: Math 12, Math 21

Chemical Engineering: 2 hours lectures, 2 hours tutorial, one term

Electrical Engineering: 3 hours lectures, 3 hours laboratory, 2 hours tutorial, one term Mechanical Engineering: 2 hours lectures, 3 hours laboratory every other week, 2 hours tutorial, one term.

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ECE 13 Electricity and Magnetism

Vector algebra; gradient, divergence, curl. Electrostatics; review of Coulomb’s law, electric fields and forces due to point and continuous charge distributions. Gauss’s law. Review of potential, Laplace’s, Poisson’s equations, capacitance. Dielectrics. Magnetostatistics; forces in magnetic fields, induction, Biot- Savart law, Ampere’s circuital law. Induced EMF; Faraday induction, Lenz’s law, self and mutual inductance, transformers. Magnetic materials; magnetization, reluctance, magnetic circuits. Maxwell’s equations; plane waves, Poynting’s vector. Prerequisite: EE 12

3 hours lectures, 3 hours laboratory every third week.

1 hour tutorial, one term.

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ECE 14 Electromagnetics

Introduction to magnetic and electromagnetic fields; electromagnetic forces and induction; Biot-Savart, Ampere’s, Faraday’s and Lenz’ laws; selfand mutual-inductance; transformers; materials; reluctance and magnetic circuits; introduction to d.c. and a.c. motors and generators.

Prerequisite: EE 12, 3 hours lectures, 2 hours tutorials, 3 hours laboratory every other week, one term.

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ECE 21 Probability and Reliability Theory

Probability and frequency distribution, Bayes Theorem; continuous random variable and density functions. Characteristic function, moments, centeral limit theorem, regression, Rayleigh distribution, random process and correlation functions, reliability of components, standby and parallel redundancy, repair and preventive maintainance, standby systems.

Prerequisites: Math 33 or equivalent

3 lectures per week, one term.

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ECE 25 Applications of Electronic Computers

The engineering principles in the application of analogue and digital computers to simulation and computational problems. Problem description, block diagramming and flow charting. Scaling and machine language coding. Automatic coding, interpretive routines including digital analogue simulators. Applications of hybrid computers. Digital control of continuous systems. Prerequisite: Math 31, Math 32.

3 lectures, 3 hours laboratory alternate weeks, one term.

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ECE 26 Design of Computing Machines

The design principles of digital, analogue and hybrid computers. Boolean algebra and switching circuits. Discrete and continuous arithmetic units, memory types, input/output and control units. Number systems, floating point arthmetic.

Prerequisite: EE 25.

3 lectures, 3 hours laboratory every third week, one term.

Department of Electrical Engineering

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ECE 28 Communication Theory

Relations between information content of messages and system capacity; transmission through electric networks: modulation systems; periodic sampling, noise, comparative analysis of information transmission systems. The role of system bandwidth and noise in limiting the transmission of information is stressed.

Prerequisite: EE 52.

3 lectures, one term.

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ECE 32 Electronics

Introduction to the principles and characteristics of diodes, vacuum tubes, transistors, and other electron devices, and to the design and analysis of rectifiers, amplifiers, and other electronic circuits.

Prerequisite: EE 12, EE 14

3 lectures, 3 hours laboratory, one term.

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ECE 33 Physical Electronics

Introduction to statistical mechanics, elementary band theory of solids, intrinsic and extrinsic semiconductors, minority carrier charge dynamics, physical principles of the operation of the p-n junction and the junction transistor.

2 lectures, 3 hours laboratory alternate weeks, one term.

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ECE 34 Physical Properties of Materials

Crystal structure and the common lattices, x-ray and electron diffraction analysis, chemical binding. Dielectrics: the origin of electrical polarization, dipole relaxation and dielectric losses, ferro-electrics. Magnetics: the atomic origin of diamagnetism and paramagnetism, paramagnetic resonance, ferromagnetism, magnetic anisotropies, domains, magnetization curves of bulk material, antiferromagnetism, ferrimagnetism and ferrites.

3 lectures, on term.

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ECE 35 Solid State Electronics

A study of the basic physical principles underlying the operation of some of the important solid state devices, including an introduction to quantum electronics and a discussion of the maser and the laser; an introduction to the phenomenon of superconductivity and a discussion of superconductive devices; band theory of semiconductors and a discussion of some of the modern semiconductor devices.

3 lectures, one term.

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ECE 42 Network Theory I

Review of formulation procedures for linear systems, network theorems, equivalent circuits, analysis of large networks through sub-networks. Analytical solution for simple periodic and non-periodic excitations, review and extension of Laplace methods for transient and steady-state response. Fourier methods. Resonant circuits, one ports; two ports; and polyphase circuits.

Prerequisite: GE 12.

2 lectures, 1 hour tutorial, 3 hours laboratory alternate weeks, one term.

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ECE 44 Pulse and Switching Circuits

Switching characteristics of electronic devices; nonsinusoidal wave generation and shaping; gates, voltage and current sweeps, multivibrator, blocking oscillator.

Prerequisites: EE 42, EE 52

3 hours lectures, 3 hours laboratory every third week, one term.

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ECE 51 Electronics 1

Thermionic emission. Vacuum diode, triode and pentode. The idealized diode, rectifiers and filters. The four-pole representation of networks, vacuum tubes and transistors. Amplifier properties of four-pole networks. Transistor biasing and stability. Large signal amplifiers.

2 lectures, 1 hour tutorial, 3 hours.laboratory alternate weeks, one term.

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ECE 52 Electronics II

The high frequency performance of transistors, equivalent circuits. Amplifier properties at high frequencies. Wideband amplifiers, feedback amplifiers, stability, oscillators, tuned amplifiers. Noise in electronic circuits. Modulation and detection systems.

Prerequisite: EE 5]

2 lectures, 1 hour tutorial, 3 hours laboratory alternate weeks, one term.

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ECE 61 Electrodynamic Energy Conversion

Introduction to energy conversion with special emphasis on electromechanical energy converters, linear and rotary. Physical magnetic and electrostatic circuits: statically and dynamically coupled magnetic circuits. Prerequisites: EE 12, 13

2 lectures 1 hour tutorial 3 hours laboratory alternate weeks, one term.

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ECE 62 Electromechanics

Development of dynamic and steady state equations for the generalized rotary energy conversion device. Study of d.c. and a.c. machines as particular types of the generalized device with particular emphasis on their steady state and transient external characteristics.

Prerequisite: EE 61.

2 lectures, 1 hour tutorial, 3 hours laboratory alternate weeks, one term.

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ECE 63 Power System Control and Protection

Energy converters; principles of control with applications of present technology. High voltages: Electrical discharges in solids, liquids and gases. Circuit breakers. Power system surge phenomena.

3 lectures, 3 hours laboratory alternate weeks, one term.

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ECE 76 Electromagnetic Fields

A vectorial treatment of electromagnetism. Maxwell’s equations, plane wave propagation, plasmas.

Prerequisite: EE 13, Math 33, Math 34.

3 lectures, 1 hour tutorial, one term.

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ECE 77 Transmission Lines and Waveguides

Representation of transmission line by the four line parameters. Derivation of the differential equations. Sinusoidal! analysis; characteristic impedance, propagation constant, phase velocity. Terminated lines; reflection coefficient, standing wave ratio, impedance matching. Use of the Smith Chart. Telephone and power lines. Introduction to waveguides, TM and TE modes in rectangular guides, guide wavelength cutoff frequency, attenuation. The transmission line-wave guide analogy.

3 lectures, 3 hours laboratory alternate weeks, one term.

Department of Electrical Engineering

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ECE 81 Control Systems I

Time domain and transfer function models for components and systems; response of linear systems through transient analysis; s-plane methods, and frequency domain methods; stability criteria; performance specifications; feedback system design and compensation.

Prerequisite: EE 81

3 lectures, 3 hours laboratory every third week

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ECE 99 Project

An engineering assignment requiring the student to demonstrate initiative and assume responsibility. The student will select a project at the end of the IIIB term from an approved list prepared by the Department. A short progress report at the end of the IVA term and a full report at the end of the IVB term are required. The project mark will be equivalent to two normal] one term courses. 2 hours per week first term, 6 hours per week second term, 2 terms.

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ECE 529 Communication of Information

The nature and transfer of information. Redundancy, entropy and information theory concepts. Conversion and coding of information: Applications to telemetry. Treatment of errors, noise, and interference. Interfacing of computers and communication links. Computational and communication capacity of systems. Representation of computer programs, sampled data.

Prerequisite: EE 21, EE 26.

3 lectures, one term.

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ECE 543 Network Theory II

Review of linear graph properties, state equation formulation, solution and stability by analog and digital methods, network design by computer techniques.

Prerequisite: EE 42.

3 lectures, one term.

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ECE 565 Power System Analysis

Low frequency transmission lines. Dynamic analysis of unbalanced power systems. Stability and transient analysis of synchronous units and coupled systems. Problems of interconnected systems: load flow and protection.

3 lectures, one term.

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ECE 578 Microwave Engineering

Antenna theory; electromagnetic potentials, retarded potentials, dipole radiation, antenna arrays, pattern synthesis, microwave antennas, sky waves, ground waves. Microwave scattering theory; scattering matrix, resonators, microwave transmission devices and components. Microwave electronics; klystrons, travelling wave amplifiers, backward wave oscillator, magnetrons.

Prerequisite: EE 76.

3 lectures, one term.

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ECE 582 Control Systems II

Further study of process dynamics and examples of control systems design from electrical, mechanical and chemical engineering. Introduction to the computer control of industrial processes.

Prerequisite: EE 81.

3 lectures, one term.

Graduate and Research Programme

Graduate credit is measured in units. A one-term course at the graduate level counts as one unit. Two units are given to graduate courses extending over two terms (certain mathematics and science courses). Credit units required for specific programmes are discussed in separate sections for the M.A.Sc. and Ph.D. degree, below.

Equivalent credit may be given to students transferring from other recognized universities for appropriate graduate courses previously taken, up to a maximum of two units. Certain senior undergraduate courses at this University may be taken for graduate credit at 4 unit (1 unit for the EE 500 series) of graduate credit per term-course, up to a maximum of two units.

The normal academic load is four units per term for a full-time student. Five units may be taken with special permission only. Students involved in part-time employment at the University or otherwise, must take a reduced academic load, as detailed in the separate section on financial assistance below.

A Faculty Advisor is appointed to supervise the programme of study of cach graduate student. A new student must meet with his advisor prior to graduate course registration to arrange his course-work programme and discuss his research interests. The progress of the student will be reviewed at least once each term by the advisor. Any changes in either course-work or research programme must be specifically approved prior to registration in the subsequent term.

An Electrical Engineering Student studying antenna patterns

Department of Electrical Engineering

Master’s Degree Programmes

The objective of the Master’s Degree programme (M.A.Sc.) in Electrical Engineering is to demonstrate individual accomplishment of a high professional and academic standard. The candidate, with approval of his advisor, may elect to submit either a research thesis as a portion of the requirements, or an engineering project report of a professionat calibre on a design or theoretical application problem.

The complete programme submitted for the M.A.Sc. degree must consist of at least ten units of graduate credit. Suitable courses offered by other departments may be taken, as appropriate.

A research thesis may be submitted for five units of graduate credit under EE 699. The topic of the thesis and the choice of the remaining required five units of graduatecourse work are arranged by the student and his Faculty Advisor. Each student’s programme is subject to approval by the Graduate Studies Committee of the Department. The student must remain registered without interruption in EE 699 until the thesis is submitted. The research work leading to the thesis must be performed under the direction of the Faculty Advisor, and is finally approved and accepted by him.

An Engineering Project Report may be submitted for two units of graduate credit under EE 698. The topic of the report and the remaining eight units of graduatecourse work are arranged by the student and his Faculty Advisor for approval by the Graduate Studies Committee. The work leading to the report must be performed under the direction of the Advisor and be acceptable to him. Credit may not be obtained for both EE 698 and EE 699.

The time limitations for a Master’s degree are four consecutive academic years for all course work and project or thesis requirements to be completed. The normal programme involves three terms of full-time study, which must be extended if three or fewer units per term are taken.

Academic performance must be sufficient that the student receives an average grade of B (66-74%) or more in the course-work portion of his approved study programme. At any time, a student may be required to withdraw from the programme if he receives a grade of C, (60-66%) or less, in more than one course in Electrical Engineering, or in more than a total of two course units, including minor fields.

English language requirement: A student whose mastery of spoken English is inadequate may be required to take a non-credit course in English and to pay an additional fee of approximately $25.

The Ph.D. Degree Programme

The primary objective of the Ph.D. programme is the accomplishment of independent and original research work and reporting thereon in a research thesis. The subsidiary requirements are completion of a suitable course-work programme, passing a comprehensive examination, demonstration of reading knowledge of a foreign language, and receiving a satisfactory review by a supervising committee. All of these must be construed as contributing to the competent performance of the research objective.

Admission to the Ph.D. programme is based upon the student’s academic record and evidence of ability to pursue independent research. Students must satisfy the requirements of the comprehensive examination as set out in paragraph five. No candidate will be admitted to the Ph.D. programme before a Faculty Advisor willing to supervise the candidate’s research is appointed.

Minimum registration requirements for the Ph.D. degree are of two academic years from the Master’s degree level, or equivalent. The maximum time allowed is five consecutive academic years from the same level. Part-time programmes are not encouraged, and students may normally satisfy only the subsidiary requirements of the programme on a non-resident basis. A minimum of three terms of full-time resident study are required in those cases where all other requirements have previously been met on a part-time basis.

The course-work associated with the Ph.D. programme is intended to provide a foundation for advanced learning in the general field of study as well as for competent research performance in some specific area. While there is no fixed requirement as to the number of credit units to be taken, aside from a usual maximum of eight units, the Advisor and the supervisory committee for each candidate will consider the level and adequacy of each candidate’s preparation in drawing up his specific programme.

The Comprehensive Examination; The form of this examination varies with the applicant’s background: 1. Candidates holding master’s degrees from this university will have an oral examination. 2. Candidates having master’s degrees awarded mainly by thesis and able to present themselves for examination, may elect to be examined orally on their thesis topic. 3. Candidates may submit their results in the ‘Advanced test in engineering’ of the ‘Graduate record examination’. * 4. Candidates may request permission to register for the M.A.Sc. If accepted they will then be required to follow three graduate courses in their first term and to obtain at least a 70% average. Successful candidates will then be registered retroactively for the Ph.D.

The foreign language requirement is satisfied by demonstrating proficiency in read-

ing and translating into English, technical literature in either German, Russian or French. *The G.R.E. is administered by: ‘Graduate Record Examinations’, Educational testing service, 1947 Centre St., Berkeley, California, U.S.A. The applicant must personally arrange and pay for the test ($8 U.S.). Test centres exist at major cities in most countries.

Graduate Course Descriptions

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ECE 601 Advanced Network Theory

Study of linear graphs and their associated matrices, graphs of passive and active networks. Discussion of the rank and independence of network equations; analysis of the various procedures for solution (mesh, node, nodepair, etc.). Study of several topological results useful in network synthesis. Applications of linear-graph theory in switching networks.

One term.

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ECE 602 System Theory

A review of the fundamental theorems of matrix theory and linear graph theory. Formulation of system equations based upon terminal representation of components. Branch-chord equation formulation and transform methods. State-space equation formulation and time-domain methods. An introduction to constituent matrices and matrix calculus.

2 hours lectures, one term.

Department of Electrical Engineering

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ECE 603 Advanced Topics in System Theory

Topics selected may include theorems in matrix calculus, functions of matrices, computer formulation of state-space equations, Hamiltonian formulation, theorems on controllability and observability, the dual problem of control, the identification problem, topics in state-space synthesis, stochastic and time-varying parameters.

Prerequisite: EE 602.

2 hours lectures. One term.

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ECE 605 Topics in Network Synthesis

Properties of network functions. Synthesis of passive one and two-ports. Further topics chosen from: Active network synthesis, synthesis of R networks, topological network synthesis, approximation of network functions; time domain synthesis, synthesis of networks with unusual elements.

One term.

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ECE 607 Statistical Theory of Communication

Statistical basis for the description of signals; distributions, moments, and characteristic functions; cumulative distribution functions. Sets, Lebesque measure, and the Lebesque-Stieltjes integral. Random variables, functions of random variables, ensembles, and ergodicity. Generalized harmonic analysis; correlation functions and spectral densities, statistical properties of message ensembles and the estimation of spectra, higher order statistics and the classification of random processes. Correlation detection of very low level signals. Linear filtering; physical realizability, random signals and input-output cross-correlations; Hilbert transforms. Derivation of the Wiener-Hopf equation, spectral factoring and the solution for optimum linear systems.

Prerequisite: EE 83.

2 hours lectures. One term.

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ECE 609 Electromagnetic Engineering I

Maxwell’s equations; time-harmonic complex notation, general orthogonal coordinates. Wave theory; propagation, reflection, boundary conditions, lossy media. Polarization; polarization ratio, representation in terms of left and right circularly polarized waves. Plane, cylindrical, and spherical wave functions; waveguides, cavities, surface wave transmission. Radiation Poynting’s vector, sources of radiation. Green’s functions, the dipole. Antennas; linear antennas, arrays, impedance, gain, super-gain, pattern synthesis.

One term.

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ECE 610 Electromagnetic Engineering II

Diffraction theory; the induction, equivalence, and reciprocity theorems, reaction concept, image theory, Huggen’s sources, method of stationary phase, Green’s functions; method of images, spherical harmonics, cigenfunction expansions, multipoles, dyadic Green’s functions. Coherence theory; mutual coherence function quasi-monochromatic analysis, coherent and incoherent limits, interferometer and linear array applications.

One term.

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ECE 611 Advanced Electronics Circuits I

A study in depth of selected circuits used in electronics, using both vacuum tubes and transistors. This is an analysis course in which various techniques are used, but Thevenin and Norton equivalent circuits and the pole zero approach are stressed. Analysis of such amplifier circuits as cascode, differential, operational, feedback, Darlington, etc., are included and are applied in the analysis of more complex circuits. Shortcut methods are introduced, based on these concepts.

Prerequisite. EE 42 and EE 52.

One term.

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ECE 612 Advanced Electronics Circuits II

A continuation of EE 611 to include clamping and clipping circuits, flip flops, twin-T configurations, Butterworth filters, break point analysis of complex diode circuits, etc.

Prerequisite: EE 611; one term.

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ECE 613 Information Transmission

Sampling and quantization of data; information measure; communication entropies and mutual information; coding efficiency and redundancy; noise and error probabilities in transmission channels; block codes and error correction; channel capacity.

Prerequisite: EE 83; one term.

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ECE 614 Electrons and Phonons J. Hamiltonian and dynamics of linear lattices, properties of creation and annihilation operators, second quantization Umklap process, electronphonon interaction, interference condition, Bloch integral equation, conductivity of metals at high and low temperatures, the general variation principle, Bardeen’s theory of metallic conductivity. Theory of mobility in semiconductors, deformation potential, lattice scattering, impurity scattering, impurity conduction, hot electrons

Prerequisite: Phys. 431 or equivalent. 2 hours, one term.

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ECE 615 Modulation Systems

Summary of principal modulation systems, unconventional modulation systems, effects on signals and noise, signal-to-noise ratio, bandwidth, effects of coding, evaluation of various signal processing techniques.

One term.

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ECE 616 Electronic Computing Machines

Machine solution of computational problems. Electronic representation of quantities, storage of numbers and variables. Accuracy and control. Computer system design, analogue, digital and hybrid. Circuit design, interfacing, and engineering considerations. Operation and programming. Analogue and digital differential analyzers. Introduction to computer control systems.

One term.

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ECE 617 Communication Systems Engineering

Consideration of the factor related to the design of communication systems; summary of the historical development of the art; system performance requirements; consideration of channel characteristics; modulation and reception techniques; comparisons of overall system configurations; criteria for optimum performance including reliability, costs, convenience, availability, and economic factors.

Prerequisite: EE 83. 2 hours per week, one term.

Department of Electrical Engineering

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ECE 618 Electrons and Phonons II

Collective descriptions of electron interactions, Bardeen and Pine’s theory of electron-phonon interaction in metals, Nakajima’s transformation, collective descriptions of electron-phonon interactions, effective mass theory from a many particle approach. Frohlich theory of superconductivity, Bardeen- Cooper-Schrieffer theory, Bogoliubov’s theory. Theory of Polaron, the Hamiltonian formulation, Feynman’s path integral formulation.

Prerequisite: EE 614. One term.

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ECE 619 Electroacoustics

Physical and physiological fundamentals of audio vibrations; properties and applications of electroacoustic transducers; analysis and measurement of sound; recording and reproduction of sound, synthesis of sound.

One term.

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ECE 625 Semiconductor Electronics

Classical mechanics, systems and ensembles. The micro-canonical and grand canonical ensembles. Applications to semiconductors, Fermi statistics, effects of degeneracy, multiple levels, trapping statistics. The mass action laws, chemical equilibria in semiconductors. Non-equilibrium situations. Mechanisms of recombination, generalization of the Shockley-Read model. Recombination in devices.

One term.

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ECE 626 Semiconductor Device Characteristcs

Resumé of physics of semi-conductors leading to d.c. and small signal a.c. characteristics of junction diodes. Discussion of depletion layer capacitance, diffusion capacitance, high level injection, charge storage and recovery, breakdown. Discussion of above the effects in transistors, transit time, base width modulation, base resistance, drift transistor. Special attention will be paid to recent devices such as varactor diodes, step recovery diodes, field effect transistors. One term.

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ECE 627 Classical, Quantum and Statistical Mechanics I. Review of Newton’s Laws,

generalized coordinates, Lagrange’s equations, generalized momenta, Hamilton’s equations, canonical transformations, Poisson brackets, phase space, Liouville’s Theorem. The development of quantum mechanics, quantization of energy, wave particle duality, wave mechanics, solutions of Schroedinger’s equation for some simple systems.

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ECE 628 Classical, Quantum and Statistical Mechanics II. The operator formalism of

quantum mechanics, angular momentum, the hydrogen atom, spin, many particle systems, the Pauli principle, perturbation theory for time independent systems, treatment of degeneracy, perturbation theory for time dependent systems, transition probabilities. Classical statistical mechanics, the concept of ensembles, the microcanonical, canonical and grand canonical ensembles, Quantum statistical mechanics, the density matrix, ensembles in quantum statistical mechanics, the partition function, the most probable distribution, Fermi-Dirac, Bose Einstein and Maxwell-Boltzmann systems.

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ECE 629 Theory of Solids I. Crystal Structure—types of crystal bonding, crystal lat-

tices, space groups, X-ray and electron diffraction: Lattice dynamics—lattice vibrations on a line, normal modes, phonons, acoustic and optic modes, vibrations of three dimensional lattices, lattice specific heat theory. Free Electron modet of metals —electrical conductivity and ohm’s law, thermal conductivity, quantum theory of particles in a box, Fermi distribution. Band theory of Solids—Bloch theorem, Kronig- Penney model, holes, effective mass concept, motion of holes and electrons, Hall effect, Brillouin zones.

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ECE 630 Theory of Solids EI. Semiconductors—intrinsic semiconductors, impurity

semiconductors, minority carrier dynamics, traps and recombination centers, surface states, compound semiconductors. Dielectrics-Polarization of solids, microscopic po-. larization, frequency dependence of dielectric properties, piezoelectricity, ferro-electrics. Magnetics—magnetic polarization, diamagnetism and paramagnetism, ferromagnetism, antiferromagnetism and ferrimagnetism, ferrites, magnetic anisotropics, magnetic domains, domain wall motion, small particle magnets, thin films.

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ECE 631 Nonlinear Control Theory I. Phase plane and state space methods of analysis

of nonlinear second order and higher order systems, stability analysis by the second method of Lyapunov, describing function methods for feedback systems.

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ECE 632 Nonlinear Control Theory 11

Introduction to quantitative methods of analysis for nonlinear systems, series approximations, oscillatory systems, periodic solutions and orbital stability, method of perturbation, harmonic linearization and harmonic balance, jump resonance phenomena, parametric oscillations and resonance, relaxation oscillations.

One term.

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ECE 634 Control Systems with Random Inputs

Correlation functions and spectral densities, the mean-square-error criterion and parameter optimization, Wiener-Hopf integral equations, Wiener filters, addition of mean square constraints, extension to sampled-data systems, Kalman filter theory.

Prerequisite: M51. 2 hours lectures, one term.

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ECE 635 Digital Systems Engineering

Introduction to Systems Engineering and computer organization, electronic design of digital data processing machines, coding of information, utilization of digital electronic devices, planning in synchronous and asynchronous systems, interface with operators and hybrid equipment.

One term.

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ECE 636 System Identification. Use of steady state and dynamical models external

modeling including regression analysis and use of z-transform formulations. Test signals and the correlation techniques, orthogonality properties. Internal modeling, parameter estimation, numerical minimization procedures, nonlinear parameter and state estimation using extensions of Kalman filter theory.

One term.

Department of Electrical Engineering

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ECE 637 Variational Methods in Control Engineering

Performance criteria, classical calculus of variations, dynamic programming, digital control systems, continuous forms of dynamic programming, multivariable control systems. Pontryagin’s Principle with examples, the two point boundary problem, computer control of processes.

One term.

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ECE 640 Sampled Data and Digital Control. The sampling process, reconstruction of

sampled signals, digital integration, smoothing and predicting, z-transform, analysis of sampled data systems, state variable approach, signals, word lengths and quantizatidn errors.

Prerequisite: EE 634, may be taken simultaneously.

One term.

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ECE 642 Microwave Circuit Theory. Circuit Parameters of two-port networks, tangent

method, Weissfloch network, canonical network, wave matrix, cascaded networks, periodic transmission systems. Matrix representation of microwave junctions, scattering matrix, symmetry properties of waveguide junctions. Microwave transmission devices, impedance matching. Nonreciprocal microwave components. Resonators.

3 Lectures, One term.

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ECE 643 Antenna Theory and Techniques. Topics selected from representative types

and techniques of antennas: linear and travelling wave antennas, horns and lenses, reflector types of antennas: interferometers and antenna arrays, antenna measurements; data processing for radio astronomy antennas.

Prerequisite: EE 609 or equivalent.

One term.

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ECE 650 Generalized Theory of Electromechanical Energy Conversion. Rotational

transducers and energy relations, G matrix; power flow; transformations and power invariance; generalized theory applied to real machines; electrical transient performance, transient reactances, fault conditions, sustained small oscillations; excitation and transient performance of synchronous machines.

One term.

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ECE 651 Topics in High-Voltage Engineering-1. Determination of the electric field for

different electrode configurations. Surge voltages, their origin and effects. Laboratory generation of high voltages. Measurements.

One term. .

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ECE 652 Power Systems. Investigation of the static and dynamic characteristics of

complete systems taken as a unit. Derivation and utilization of system parameters for computer studies of fault conditions, static load capabilities, dynamic stability and most economic operating point. Sequence parameters are developed and the sequence networks used in unbalanced load studies and relaying.

Prerequisites: EE 62, EE 71.

One term.

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ECE 653 Static Power Conversion and Control Devices. Analysis and design of power

solid state and linear and non-linear magnetic devices. Separately or in combinations, these devices cover the field of power conversion and control not handled by rotating conversion equipment. Particular emphasis will be given to the field of non-linear magnetic devices and the analysis of circuits containing them.

One term.

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ECE 654 Topics in High Voltage Engineering—-11. Conduction of electricity through

gases. Field-intensified ionization and breakdown of gases at various pressures. Theories of insulation failure in solids and liquids. Circuit interruption.

One term.

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ECE 708 Topics in Information Theory

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ECE 721 Radio Propagation Studies

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ECE 723 Topics in Quantum Electronics

724, Experimental Techniques for Solids

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ECE 791 Engineering Project 1

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ECE 792 Engineering Project 11

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ECE 801 Oral Examination for Ph

D.

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ECE 803 Comprehensive Examination for Ph.D

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ECE 804 Language Requirement for Ph.D

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ECE 808 Research Thesis for Master’s Degree

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ECE 809 Research Thesis for Ph.D

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