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The Fast Fourier Transform (FFT)

Steve Brunton
8 min
Beginner
Video
Application

Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time.

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Linear Regression 1 [Python]

Steve Brunton
6 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used for linear regression in Python (part 1).

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Data-Driven Control: Balanced Truncation

Steve Brunton
14 min
Intermediate
Video
Theory

In this lecture, we describe the balanced truncation procedure for model reduction, where a handful of the most controllable and observable state directions are kept for the reduced-order...

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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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PID Control - A brief introduction

Brian Douglas
7 min
Beginner
Video
Theory

In this video, I introduce the topic of PID control. This is a short introduction design to prepare you for the next few lectures where I will go through several examples of PID control....

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