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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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Particle Filter Explained without Equations

Andreas Svensson
7 min
Beginner
Video
Theory

This video provides a quick graphical introduction to the particle filter. It does a good job building some intuition behind the filter without ever touching on any mathematics. It's worth a...

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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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Intro to Process Control

Vincent Stevenson
6 min
Beginner
Video
Theory

I discuss the motivation and introduce the logic behind controllers that engineers design to respond to errors in outputs (deviations from set points). P and...

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Gain and Phase Margins Explained!

Brian Douglas
13 min
Beginner
Video
Theory

In this video I explain gain and phase margins. If you are confused by this topic I hope this video will help tie all of the concepts together that go into understanding what gain and phase...

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The Inverse Laplace Transform

Christopher Lum
48 min
Beginner
Video
Theory

In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...

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Data-Driven Control: Balancing Transformation

Steve Brunton
11 min
Intermediate
Video
Theory

In this lecture, we derive the balancing coordinate transformation that makes the controllability and observability Gramians equal and diagonal. This is the critical step in balanced model...

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