Fourier Transforms || Theoretical Interpretations, Complex Exponentials and Window Effect

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Published 2021-02-23
First video Digital Signal Processing series. I am taking you on journey to uncover both intuitive and deep mathematical understanding of Fourier Theory.

The video cover the significance of sinusoids and complex exponentials, how to read magnitude and phase graphs, the ideal magnitude graphs and the effect of rectangular windows on the final spectrum.


Animations in this video were primarily created using #Manim the animation tool developed by @3blue1brown.
I have significant appreciations for the people online creating tutorials and illustrations of #Manim. As a part of that effort I am making all my source codes available on my GitHub page in few days after the upload.

Thank you for watching, the series will continue to more practical content on the next video. Subscribe and follow the me on social media:
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Twitter: twitter.com/TheoryofControl​
Facebook: www.facebook.com/TheoryofControl​

Background Music:
What Happens Then - Kikoru

#Manim​
#DSP​
#Fourier

All Comments (21)
  • @DiiaBloodyRain
    This is a jaw dropping explanation that actually reaches small-brained audience such as myself! I cannot applaud you enough for such an honest work! Thank you so much.
  • @Molaga
    A stunning presentation. Technically rigorous. It has everything I want to know or say about Fourier Transform. Thanks -infinity to +infinity :)
  • @Tennis2016
    This video should have multi million views to render justice to the effort and intuition put on creating such a explanatory and clear content … powerful !!
  • @borian1981
    I studied this stuff on 2004,before all those YouTube videos were available. Now,it's much more easy to understand Thank u for such clear explanation
  • @Tennis2016
    This is such an amazing video : best Fourier Series/Transform video 💎 … and I have watch all top science channels on this topic before 👏👏👏
  • @cledieu
    You have convoluted art and science. Congratulations for this amazing piece of work.
  • @Simchen
    This was immensely informative
  • @RDayan932
    Thank you for putting this out, can't wait to see more videos from you on this topic in the near (hopefully) future.
  • @djredrover
    Great video! Grant's Manim library is all over youtube!
  • @pauldokter2725
    What a beautiful brain boom. Thank you. I have been mystified by this for too long.
  • Thank you for the wonderful explanation! Great work🎉 waiting for your new updates.
  • @mnada72
    Thank you. You have explained it clearly. Very good luck with the rest of control theory topics. Waiting for the same for Laplace transform.
  • Mathematical Tools & Techniques are main foundation to our modern & future technologies. Lot of Thanks to ancient & modern scholars,who develop Mathematical Technique (Trigonometry, Calculus,Probability, Algebra...etc) for solving complex problems in real time scenarios especially in field of Science,Engineering,Technology & Architecture.