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Fundamentals of Engineering Mathematics
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Functions of several variables
Partial derivatives of the functions (directional derivatives, total differentials, gradient )
Extremum of differentiable functions,Taylor formula
Multiple integrals, computations of areas, moments and mass by means of integral, Vector fields, gradient
fields and rotors
Line integrals
Path independence, Potential functions and conservative fields
Green's theorem in plane: surface integrals, Stokes Theorem
Applications of surface integrals to engineering problems
Eigenvalues and Eigenvectors of linear transformation
Coding and Digital Modulation Techniques
Review of modulation and noise, introduction to source coding, introduction to error control coding,
characterization of digital signals, optimum receivers for the additive white Gaussian noise (AWGN) channel,
carrier and symbol synchronization, signal design for band-limited channels, communication through bandlimited linear channels, multichannel multicarrier systems, spread spectrum communication, multiuser
systems
DSP techniques for Communication
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Review of DSP techniques including sampling and quantization, decimation and interpolations
Discrete Fourier Transform
Fast Fourier Transform, time-frequency analysis (short term Fourier Transform, spectrograms, Gabor
analysis), z-transform, dynamic range
IIR and FIR filter design
Advanced Electronic Design Techniques
Very large scale integration design flow, printed circuit board design flow, single-ended and fully-differential
operational amplifiers, operational transconductance amplifiers, bandgap references, multi-loop feedback and
stability, analysis and design of multi-stage amplifiers, floating gate design techniques, analog circuit design
techniques for high performance printed circuit boards
Digital System Design
Introduction to digital design flow, introduction to Verilog and Vhdl, finite state machine, register transfer logic,
timing closure, debugging techniques using Xilinx chipscope, file i/o in Verilog and Vhdl, fixed-point number
representation, rounding, fixed point operations in Verilog and Vhdl, fixed point complex number operations,
Vhdl attributes, floating point arithmetic, fixed-point addition, subtraction, FIR and IIR filter implementation in
Verilog and Vhdl, Cordic algorithm, multirate processing and clock domain crossings, Xilinx embedded design
kit, embedded system design on Xilinx FPGA
Low Noise Design
Noise theory, measurement of noise, thermal noise, flicker and shot noise, random walk, Allan-variance noise
analysis, types of noise, noise reduction techniques, noise analysis of electrical circuits, effect of feedback on
noise, noise optimization, noise models of devices, noise simulation using spice, low noise amplifiers, noise
due to crosstalk, power supply induced noise, ground loops, phase noise and jitter in oscillators and phase
locked loop
Random Processes and Estimation
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Review of random variables and random processes
Estimation Theory (sufficient statistics, minimum variance unbiased estimation, Cramer-Rao lower bounds,
Fisher information matrices, best linear unbiased estimators, maximum likelihood estimation, maximum a
priori estimation)
Adaptive estimation (LMS algorithm, adaptive noise cancellation)
Analysis and Design of Switched Mode Power Supplies
Steady-state analysis of switched-mode power supplies (SMPS): Inductor volt-second balance and capacitor
charge balance, the small-ripple approximation, steady-state equivalent circuit modeling, losses, and
efficiency (direct current transformer model), switch realization and power semiconductor devices.
Discontinuous conduction mode, converter topologies, AC equivalent circuit modeling of converters, statespace averaging, review of Bode plots, analysis of converter transfer functions, graphical construction of
impedances and transfer functions, effect of negative feedback on network transfer functions, closed-loop
transfer functions and stability, regulator design, measurement of loop gains. Magnetics theory, loss
mechanism in magnetic devices, filter inductor, multiple winding magnetics, transformer and AC inductor
design.
GSM and next generation mobile communication
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3GPP Long Term Evolution (LTE)
Overview of the wireless channel
Frequency domain and the FFT
Spectral efficiency
Multicarrier communications
OFDMA, WCDMA and wireless receiver design
Cognitive radio, relays and network coding
Cellular Network Planning
The backhaul transmission technologies for fixed media, xDSL and Fiber, broadband wireless (Super 3G,
TLE, WiMAX), satellite broadband, system design for cellular coverage, capacity and throughput, overview of
traffic: Voice over IP, peer to peer networking, wireless sensor networks, MIMO, multicarrier and CDMA,
network design and management.
Analog Filters
Filter approximations, frequency scaling and impedance normalization, active and passive filter synthesis,
passive filter realization techniques, active filter realization using operational amplifiers and operational
transconductance amplifiers, biquads, integrators, high order filters, cascade filter design, RC active filters,
OTA-C filters, pole-zero cancellation, switched capacitor concepts, switched capacitor filter realization
methods, complex filter design concepts
RF Circuit Design
Communication basics, transceiver architectures, fundamentals of RF circuits, RF metrics, linearity, noise,
signal-to-noise ratio, s-parameters, measurement techniques, Smith chart, s-parameters, return loss, stability
considerations of RF circuits, impedance matching, low noise amplifiers, mixers, RF and baseband filters,
oscillators, voltage controlled oscillators, phase locked loop, frequency synthesizer, power amplifier analysis
and design, power amplifier linearization techniques.
Digital Audio and Video Broadcasting
Analog vs. digital broadcasting, source coding, channel coding, conditional access systems, modulation and
multiplexing, digital audio broadcasting, digital video broadcasting, audio and video streaming, internet
protocol television (IPTV), internet television, overview of mobile services and methods (MMS, WAP etc.),
broadcast coverage analysis.
Data Converters
Data converter fundamentals, performance metrics, Nyquist rate and oversampled resistor, capacitor and
current source based converters, review of data converter architectures, such as flash, successive
approximation, two-step flash, pipeline, interpolation and folding architectures, time interleaved converters,
basic concepts of sigma delta technique, high order modulators, Mash architecture, nonidealities of sigma
delta converters
Embedded System Design
Embedded system design techniques, system modeling and specifications, software organization, real-time
operations, scheduling, real-time operating systems, low-power design, power reduction techniques, timing
analysis, testing, fault tolerance, debugging, hardware and software partitioning and optimization, embedded
system security, calibration for performance improvement, machine-human interfaces, embedded systems on
safety applications.
Wired Communication Technologies
Communication networks and services, peer to peer protocols, local area networks, packet switching
networks, SONET/SDH, network synchronization, management and control, telephone networks, ISDN,
ADSL, fiber optic systems in the subscriber loop, statistical modeling of telephone and data traffic, voice over
IP.
Signal Processing for Digital Receivers
Multirate signal processing (decimation and interpolation, polyphase representation and filter banks,
multiresolution analysis), parametric signal modeling and optimal linear filtering (autoregressive, movingaverage and autoregressive moving-average models, Yule-Walker equations, linear prediction), spectral
estimation techniques, digital algorithms for communication systems, digital frequency sources, amplitude and
frequency modulation algorithms
Standards and Regulations in Engineering
Regulation, standardization, accreditation, conformity assessment and certification concepts, World,
European and Turkey standardization bodies (ISO, CEN, CENELEC, TSE), standards and product safety,
standard types, the EU product legislation, harmonization, product liability, compliance with mandatory
requirements, standards, and improvement, standardization as a key component of risk management, risk
management standard ISO 31 000, failure mode and effect analysis (FMEA), quality control and quality
management concepts, process approach, total quality management practices in improving the process and
error proofing techniques, ISO 9001 quality management system, ISO 14001 environmental management
system, OHSAS 18001 occupational health and safety management system, problem-solving techniques, root
cause analysis techniques for the processing of non-conformities, market surveillance and legal control of the
unsafe products.