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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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*Related Videos*
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*Contents*
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
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
*Follow Me*
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
*Channel Support*
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
The best way to support the channel is to share the content. ;)
If you'd like to also support the channel financially, donating the price of a coffee is always warmly welcomed! (completely optional and voluntary)
► Bitcoin (BTC): 3C6Pkzyb5CjAUYrJxmpCaaNPVRgRVxxyTq
► Ethereum (ETH): 0x9Ac4eB94386C3e02b96599C05B7a8C71773c9281
► Cardano (ADA): addr1v95rfxlslfzkvd8sr3exkh7st4qmgj4ywf5zcaxgqgdyunsj5juw5
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#fouriertransform #spectrum #frequency #signalprocessing
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