Fourier Transform Formula Explained
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.
Related Videos
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Mel Frequency Cepstral Coefficients (MFCC) Explained: • Mel Frequency Cepstral...
Spectral Features - Deltas and Delta-Deltas: • Spectral Features - De...
Wav2Vec2 Explained: • Wav2vec2 A Framework f...
CTC Explained: • Connectionist Temporal...
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
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
🐦 Twitter: @datamlistic / datamlistic
📸 Instagram: @datamlistic / datamlistic
📱 TikTok: @datamlistic / datamlistic
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)
► Patreon: / datamlistic
► Bitcoin (BTC): 3C6Pkzyb5CjAUYrJxmpCaaNPVRgRVxxyTq
► Ethereum (ETH): 0x9Ac4eB94386C3e02b96599C05B7a8C71773c9281
► Cardano (ADA): addr1v95rfxlslfzkvd8sr3exkh7st4qmgj4ywf5zcaxgqgdyunsj5juw5
► Tether (USDT): 0xeC261d9b2EE4B6997a6a424067af165BAA4afE1a
#fouriertransform #spectrum #frequency #signalprocessing
Пікірлер: 16
Make sure to check the MFCC video (kzread.info/dash/bejne/hX6jmdiJl7XScrQ.html) if you want to learn more about the application of Fourier transform in speech recognition.
THE BEST VEDIO for Fourier Transform Thanks a lot!
@datamlistic
7 ай бұрын
Thank you so much! I am happy you enjoyed the explanation. :)
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!
@datamlistic
9 ай бұрын
Well, once you get the necessary mathematical intuition of Fourier transform, it gets much easier to understand any material on it. Is there anything in this video that wasn't clear for you? Should have I approached something differently?
@ihmejakki2731
9 ай бұрын
@@datamlistic the video is clear and intuitive! The course was rough for me because of all the proofs and nasty integrals the prof wanted us to do :D
@datamlistic
9 ай бұрын
Happy to hear that this video has not added to you confusion and hopefully it made things more clear. Indeed, the academic curriculum usually ignores the intuition behind things which often leads to confusion and as a result the students drop out the course.
Great vid keep up the content
@datamlistic
8 ай бұрын
Many thanks, will do! :)
@user-ot2vx8pd5u
8 ай бұрын
Intsrdsant❤
great video
@datamlistic
8 ай бұрын
Glad you enjoyed it
A girl I liked was giving me mixed signals So I calculated Fourier transform.
@datamlistic
9 ай бұрын
And did the two of you have the same frequency?
At 5:43, The equation misses 'i'
@datamlistic
9 ай бұрын
Yep, that's correct. Thanks for pointing it out and sorry if that has caused any confusion. I will try to be more careful next time. :)