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Seeing Circles, Sines, and Signals
This text is designed to accompany your study of introductory digital signal processing.1 It’s an eccentric piece of not-so-rigorous literature with a preoccupation for explaining things using interactive visualizations, animations and sound.2 My goal is to explain the Discrete Fourier Transform using a miniature curriculum which leverages your ability to learn concepts and absorb information visually instead of linguistically.3 My hope is that these glyphs become slightly more comprehensible and slightly less intimidating after reading the subsequent 30 or so pages.4 “One reason math texts are so abstruse and technical is because of all the specifications and conditions that have to be put on theorems to keep them out of crevasses. In this sense, they’re like legal documents, and often about as much fun to read.” - David Foster Wallace, Everything and More5 If you’re really serious about learning the theory and practice of digital signal processing, you should not use this website as your sole resource.
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