Convex Optimization II

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Overview Subgradient, cutting-plane, and ellipsoid methods. Decentralized convex optimization via primal and dual decomposition. Alternating projections. Exploiting problem structure in implementation. Convex relaxations of hard problems, and global optimization via branch and bound. Robust optimization. Selected applications in areas such as control, circuit design, signal processing, and communications.

Adaptive Signal Processing

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Overview Contents: Introduction to Adaptive Filters, Introduction to Stochastic Processes, Correlation Structure, FIR Wiener Filter, LMS Algorithm, Convergence Analysis, Sign LMS Algorithm, Block LMS Algorithm, Vector Space Treatment to Random Variables, Introduction to Linear Prediction, Lattice Filter and Recursions, Gradient Adaptive Lattice, RLS Lattice Recursions, Systolic Implementation, Singular Value Decomposition.

Circuits and Electronics

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Overview Introduction and lumped abstraction - Basic circuit analysis method (KVL and KCL mMethod) - Superposition, Thevenin and Norton - The digital abstraction - Inside the digital gate - Nonlinear analysis - Incremental analysis

Circuit Theory

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Overview Signals and Systems, Initial and Final Conditions, Step, Impulse and Complete Responses, Transformer Transform Domain Analysis, Network Theorems and Functions, Poles, Zeros and Network Response, Single and double Tuned Circuits, Two-port Networks, Insertion Loss.

Control Engineering

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Overview Introduction to control problem Industrial Control examples. Transfer function models of mechanical, electrical, thermal and hydraulic systems. System with dead-time. System response. Control hardware and their models: potentiometers, synchros, LVDT, dc and ac servomotors, tachogenerators, electro hydraulic valves, hydraulic servomotors, electropeumatic valves, pneumatic actuators. Closed-loop systems. Block diagram and signal flow graph analysis, transfer function.

Digital Integrated Circuits

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Overview Semiconductors, PN Junction Diodes, BJT, Schottky Transistor, Standard TTL Circuits, ECL Basic Operation, Heterojunction Bipolar Transistor, ECL, nMOS Logic Circuits, CMOS Inverter, CMOS SRAM, DRAM-CMOS and BiCMOS, GaAs MESFET Characteristics.

Embedded Systems

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Overview Introduction, Embedded Hardware, PIC: Instruction Set, ARM Processor, Digital Signal Processors, System On Chip (SOC), Memory Organization, Virtual Memory and Memory Management Unit, Bus Structure, Serial Interfaces, Scheduling Policies, Embedded OS, Network Embedded System, Compilers for Embedded Systems.

Estimation of Signals and Systems

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Overview Contents: Introduction - Probability Theory -Random Variables - Function of Random Variable Joint Density - Mean and Variance - Random Vectors Random Processes - Random Processes and Linear Systems - Some Numerical Problems -Miscellaneous Topics on Random Process - Linear Signal Models - Linear Mean Square Error Estimation - Auto Correlation and Power Spectrum Estimation - Z-Transform Revisited Eigen Vectors/Values

Principles of Digital Communications I

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Overview Introduction: A layered view of digital communication - Discrete source encoding-Memory-less sources, prefix free codes, and entropy - Entropy and asymptotic equipartition property - Markov sources and Lempel - Ziv universal codes