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Instructor: Dennis Freeman Description: Today's lecture discusses an application of Fourier series, exploring how the vocal tract filters frequencies generated by the vocal cords. Speech synthesis and recognition technology uses frequency analysis to accurately ...
Instructor: Dennis Freeman Description: The concept of the Fourier series can be applied to aperiodic functions by treating it as a periodic function with period T = infinity. This new transform has some key similarities and differences with the Laplace transform, its ...
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 ...
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 ...
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.
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.
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
Q&A with Denis Leblanc: Sample collection, diffusion sampling, contaminant storage, water lifting, multi-level samplers, contaminant plume cleanup.
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
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 ...
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 ...
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
Topic: Goals, design and impact of health information systems in developing countries. Instructor: Hamish Fraser, Harvard Medical School and Partners in Health
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
Topic: Principles of innovation and new practices adoption which can guide successful quality improvement projects. Instructor: Jonathan Jackson, founder and CEO of Dimagi
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Spotlight channel
97 videos
Updated Sep. 18, 2012
The goal of the biological engineering discipline is to advance fundamental understanding of how biological systems operate and to develop effective ...
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105 videos
Updated Apr. 1, 2013
Many experts and academics visit MIT each year. This collection houses videos from those events, which has previously been featured on the MIT World ...
Spotlight channel
1,437 videos
Updated Jun. 18, 2013