Fourier Transform Formula Explained

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In this video we connect the mathematical ideas behind the Fourier transform equation and why it represents the decomposition of a signal into its frequency components, by looking at how the Euler's formula relates and the unit circle can be interpreted as signals of certain frequencies.

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*Contents*
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00:00 - Intro
01:40 - Complex Numbers
02:45 - Euler's Identity
03:45 - Euler's Formula
05:01 - Frequencies and Unit Circle
07:20 - Fourier Transform Maths
08:40 - Why Use Complex Numbers
09:56 - Outro

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#fouriertransform #spectrum #frequency #signalprocessing
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Found no one else explains the actual concept like this video does ..thanks

John-hwys
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THE BEST VEDIO for Fourier Transform Thanks a lot!

zlj
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This and all your other videos are on the intuitive level of 3blueonebrown...some are even better !
I hope you put together a course on Math for Machine Learning that includes these topics as prerequisites ( esp gaussions and fourier transforms.
Cheer adn subscribed

behrampatel
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I tried to do a Fourier series course in the beginning of my studies, but it was pretty rough so I dropped it. Maybe I'll take it again next summer!

ihmejakki
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This is the best video I have ever come across, glad I found it 🎉

kirubakaranjesudass
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Amazing video, thank you for making this.

arkie
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A girl I liked was giving me mixed signals

So I calculated Fourier transform.

florin-andreirusu
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At 5:43, The equation misses 'i'

KandappanVA