signal constellations
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Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, ...more
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Concentrates on recognizing and solving convex optimization problems that arise in engineering. Topics include: Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interiorpoint methods. Applications to signal proc...more
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Architectural and circuit level design and analysis of integrated analog-to-digital and digital-to-analog interfaces in CMOS and BiCMOS VLSI technology. Analog-digital converters, digital-analog converters, sample/hold amplifiers, continuous and switched-capacitor filters. RF integrated electronics including synthesizers, LNA's, and baseband processing. Low power mixed signal design. Data communications functions including clock recovery. ...more
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Molecular biology of prokaryotic and eukaryotic cells and their viruses. Mechanisms of DNA replication, transcription, translation. Structure of genes and chromosomes. Regulation of gene expression. Biochemical processes and principles in membrane structure and function, intracellular trafficking and subcellular compartmentation, cytoskeletal architecture, nucleocytoplasmic transport, signal transduction mechanisms, and cell cycle control.
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Continuation of Convex Optimization I. Topics include: 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 & bound. Robust optimization. Selected applications in areas such as control, circuit design, signal processing, and com...more
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This course is the second of a two-term sequence. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of Principles of Digital Communication I and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-d...more
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This course serves as an introduction to the theory and practice behind many of today's communications systems. 6.450 forms the first of a two-course sequence on digital communication. The second class, 6.451, is offered in the spring. Topics covered include: digital communications at the block diagram level, data compression, Lempel-Ziv algorithm, scalar and vector quantization, sampling and aliasing, the Nyquist criterion, PAM and QAM...more
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Guest Lecturer, Setup of the Ice Cream Store Problem, with Customer, Cashier, Clerk, and Manager Threads, The Different Constraints on the Various Types of Threads, Writing the Main Function, Spawning the Various Threads, Handling the Manager-Clerk Interaction Using the Inspection Struct, Which Uses a Semaphore to Signal to the Manager That the Clerk Is Ready for Inspection, As Well as a Semaphore that Ensures that the Clerk Will Wait for ...more
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The stock market is the information center for the corporate sector. It represents individuals' ownership in publicly-held corporations. Although corporations have a variety of stakeholders, the shareholders of a for-profit corporation are central since the company is ultimately responsible to them. Companies offer dividends, stock repurchases and stock dividends to give profits back to shareholders or to signal information. Companies can ...more
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Part of the responsibility of the angel is to help secure the VC round. Experienced entrepreneurs Ron Conway and Mike Maples lay out the blueprint for how they signal VC's about the emergence of new opportunities, and how a young operation with slow burn and trackable accomplishments is going to fetch the best investment firms.
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