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Complex Fourier Series

Steve Brunton
12 min
Intermediate
Video
Theory

This video will describe how the Fourier Series can be written efficiently in complex variables.

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The Discrete Fourier Transform (DFT)

Steve Brunton
17 min
Beginner
Video
Application

This video introduces the Discrete Fourier Transform (DFT), which is how to numerically compute the Fourier Transform on a computer. The DFT, along with its fast FFT implementation, is one...

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Final Value Theorem

Christopher Lum
33 min
Beginner
Video
Theory

In this video we discuss the Final Value Theorem. Given a signal in the Laplace domain, this allows us to predict the steady state value of the signal in th...

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Heat Transfer Demonstration

Christopher Lum
63 min
Beginner
Video
Theory

In this video we demonstrate heat transfer through a metal bar. By heating one side of the bar we can impose a non-uniform temperature distribution across t...

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Drone Control and the Complementary Filter

Brian Douglas
11 min
Beginner
Video
Theory

Let's talk about the complementary filter and how we can use it to estimate the attitude of a drone using an IMU. It is such a dead simple filter, which is a good reason to learn it, but it...

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Inner Products in Hilbert Space

Steve Brunton
8 min
Intermediate
Video
Theory

This video will show how the inner product of functions in Hilbert space is related to the standard inner product of vectors of data.

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SVD: Eigenfaces 1 [Matlab]

Steve Brunton
7 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 1).

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