The author of this web content explains the concept of the Fourier Transform in a clear and relatable manner. They use the metaphor of finding the recipe for a smoothie by running it through filters to extract each ingredient. The key idea is that the Fourier Transform takes a time-based pattern, measures every possible cycle, and returns the overall “cycle recipe” for that pattern. The author also discusses the importance of filters being independent, complete, and combine-able. They highlight the usefulness of the Fourier Transform in various engineering applications, such as earthquake vibrations, sound waves, and data compression. The author also clarifies the difference between sinusoids and circles and explains how phase plays a role in adjusting cycles. Overall, the author presents the content in an engaging and informative manner.
https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/