Signals and Systems - Lecture 19: Relations Among Fourier ...
Signals and Systems - Lecture 19: Relations Among Fourier Representations
Instructor: Dennis Freeman Description: Today's lecture solidifies the connections between continuous- and discrete-time Fourier series and transforms, converting between the time and frequency domains with familiar tools such as convolution, periodic extension, and ...
Signals and Systems - Lecture 2: Discrete-Time (DT) Systems
Signals and Systems - Lecture 2: Discrete-Time (DT) Systems
Instructor: Dennis Freeman Description: Discrete-time systems can be represented in several ways: difference equations, block diagrams, and operators. Each method requires a different analytical approach. Feedback loops in cyclic systems lead to convergent or divergent ...
Signals and Systems - Lecture 3: Feedback, Poles, and ...
Signals and Systems - Lecture 3: Feedback, Poles, and Fundamental Modes
Instructor: Dennis Freeman Description: To analyze complicated systems of adders, delays, and gains, factor their polynomial expression into simpler components using the poles. These fundamental modes combine to produce the unit response of a system.
Signals and Systems - Lecture 4: Continuous-Time (CT) ...
Signals and Systems - Lecture 4: Continuous-Time (CT) Systems
Instructor: Dennis Freeman Description: Drawing analogies with previous concepts in discrete-time systems, this lecture discusses the block diagrams, polynomial expressions, poles, convergence regions, and fundamental modes of continuous-time systems.
Signals and Systems - Lecture 5: Z Transform
Signals and Systems - Lecture 5: Z Transform
Instructor: Dennis Freeman Description: After reviewing concepts in discrete-time systems, the Z transform is introduced, connecting the unit sample response h[n] and the system function H(z). The lecture covers the Z transform's definition, properties, examples, and ...
Signals and Systems - Lecture 7: Discrete Approximation of ...
Signals and Systems - Lecture 7: Discrete Approximation of Continuous-Time ...
Instructor: Dennis Freeman Description: Having established representations and analytical methods for discrete-time and continuous-time systems, today's lecture uses the example of a leaky tank to show how Euler and trapezoidal approximations can convert a continuous ...
Signals and Systems - Lecture 10: Feedback and Control
Signals and Systems - Lecture 10: Feedback and Control
Instructor: Russ Tedrake Description: Prof. Tedrake introduces the power and complexity of modern control systems, which use feedback to stabilize and compensate for delays and other errors. Examples are taken from his research into perching planes and other ...
Signals and Systems - Lecture 13: Continuous-Time (CT) ...
Signals and Systems - Lecture 13: Continuous-Time (CT) Feedback and ...
Instructor: Dennis Freeman Description: Additional examples today illustrate the use of feedback to reduce sensitivity to variable component parameters and crossover distortion in audio systems, and to control two unstable systems (magnetic levitation, inverted ...
Signals and Systems - Lecture 14: Fourier Representations
Signals and Systems - Lecture 14: Fourier Representations
Instructor: Dennis Freeman Description: In the next half of the course, periodic functions are represented as sums of harmonic functions, via Fourier decomposition. Linear time-invariant systems amplify and phase-shift these inputs to produce filtered output, an ...
Signals and Systems - Lecture 9: Frequency Response
Signals and Systems - Lecture 9: Frequency Response
Instructor: Dennis Freeman Description: The response of a system to sinusoidal input gives valuable information about its behavior in the frequency domain, similar to convolution in the time domain. Eigenfunctions and vector plots are used to explore this frequency ...
Groundwater Hydrology - Diffusion Sampling
Groundwater Hydrology - Diffusion Sampling
Q&A with Denis Leblanc: Sample collection, diffusion sampling, contaminant storage, water lifting, multi-level samplers, contaminant plume cleanup.
Health Information Systems to Improve Quality of Care in ...
Health Information Systems to Improve Quality of Care in Resource-Poor ...
Topic: The Millennium Global Village-Network: Helping to achieve the UN Millenium Development Goals (MDGs) by improving quality, access, and efficiency. Instructor: Andrew Kanter, Millenium Villages Project
Signals and Systems - Lecture 1: Signals and Systems
Signals and Systems - Lecture 1: Signals and Systems
Instructor: Dennis Freeman Description: This lecture introduces the administrative details of the course, and uses examples from several engineering fields to illustrate the central abstraction of 6.003: analysis and design of systems via their signal transform ...
Signals and Systems - Lecture 8: Convolution
Signals and Systems - Lecture 8: Convolution
Instructor: Dennis Freeman Description: In linear time-invariant systems, breaking an input signal into individual time-shifted unit impulses allows the output to be expressed as the superposition of unit impulse responses. Convolution is the general method of ...
Health Information Systems to Improve Quality of Care in ...
Health Information Systems to Improve Quality of Care in Resource-Poor ...
Topic: Correcting healthcare inequities in the developing world, through translational research and advocacy for HIV, TB, and maternal health. Instructor: Joia Mukherjee, Medical Director of Parters in Health
Health Information Systems to Improve Quality of Care in ...
Health Information Systems to Improve Quality of Care in Resource-Poor ...
Topic: Goals, design and impact of health information systems in developing countries. Instructor: Hamish Fraser, Harvard Medical School and Partners in Health
Health Information Systems to Improve Quality of Care in ...
Health Information Systems to Improve Quality of Care in Resource-Poor ...
Topic: Overview of quality improvement: the nature and extent of medical errors, and how healthcare organizations should respond when adverse events occur. Instructor: Leo Anthony Celi, founder and executive director of Sana
Health Information Systems to Improve Quality of Care in ...
Health Information Systems to Improve Quality of Care in Resource-Poor ...
Topic: Principles of innovation and new practices adoption which can guide successful quality improvement projects. Instructor: Jonathan Jackson, founder and CEO of Dimagi
Introduction to Algorithms - Recitation 20: Dynamic ...
Introduction to Algorithms - Recitation 20: Dynamic Programming: Blackjack
Description: This recitation revisits the perfect-information blackjack problem that was covered in lecture. Instructor: Victor Costan
Introduction to Algorithms - Recitation 24: Final Exam ...
Introduction to Algorithms - Recitation 24: Final Exam Review
Description: This recitation covers the wood-cutting problem (dynamic programming) and Bloom filters (hashing, probability). Instructor: Victor Costan