Continuous Signals
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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...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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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's,...more
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Note: This course is being offered this summer by Stanford as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development. The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used....more
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Professor Kleiner discusses special subjects in Roman wall painting that do not fall within the four architectural styles but were nonetheless inserted into their wall schemes: mythological painting, landscape, genre, still life, history painting, and painted portraiture. The lecture begins with an in-depth examination of the unique Dionysiac Mysteries painting in Pompeii in which young brides prepare for and enter into a mystical...more
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Professor Kleiner characterizes third-century Rome as an "architectural wasteland" due to the rapid change of emperors, continuous civil war, and a crumbling economy. There was no time to build and the only major architectural commission was a new defensive wall. The crisis came to an end with the rise of Diocletian, who created a new form of government called the Tetrarchy, or four-man rule, with two leaders in the East and two in the...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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This lecture explains what an economic model is, and why it allows for counterfactual reasoning and often yields paradoxical conclusions. Typically, equilibrium is defined as the solution to a system of simultaneous equations. The most important economic model is that of supply and demand in one market, which was understood to some extent by the ancient Greeks and even by Shakespeare. That model accurately fits the experiment from the...more
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We look at two settings with asymmetric information; one side of a game knows something that the other side does not. We should always interpret attempts to communicate or signal such information taking into account the incentives of the person doing the signaling. In the first setting, information is verifiable. Here, the failure explicitly to reveal information can be informative, and hence verifiable information tends to come out even...more
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Aliasing Demonstration With Music, Transition To Discrete! The DFT, The Plan For Transitioning To Discrete Time, Creating A Discrete Signal From F(T) Creating A Discrete Version Of The Fourier Transform Of The Sampled Version Of F(T), Summary Of What We Just Did, Summary Of Results (Formulas), Moving From Continuous To Discrete Variables, Final Result: The DFT
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Examples Of Autonomous Linear Dynamical Systems, Finite-State Discrete-Time Markov Chain, Numerical Integration Of Continuous System, High Order Linear Dynamical Systems, Mechanical Systems, Linearization Near Equilibrium Point, Linearization Along Trajectory
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Larry Bawden discusses the competitive strategy in solar energy start-ups lies in bringing vertical integration to your product mix. He believes that there is a huge potential for any viable technology in the value chain. He notes that continuous improvement of technology is key to the success of a company in this field.
