plotted on the bottom left is just the real part of that complex number output of the Fourier transform. The
equation below denotes the Fourier transform.
Some Q&A about the Fourier Transform:
• What does the Fourier Transform do? Given a smoothie, it finds the recipe.
How? Run the smoothie through filters to extract each ingredient.
•
• Why? Recipes are easier to analyze, compare, and modify than the smoothie itself.
How do we get the smoothie back? Blend the ingredients.
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References:
Youtube channel 3blue1brown: https://youtu.be/spUNpyF58BY
Betterexplained: https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/
https://en.wikipedia.org/wiki/Fourier_transform
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