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.

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• 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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