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I was quite surprised when I learned the fact that the MP3 codec is extensively based on the Fourier Transform. I'd like to learn more about these topics in general. When I say more I mean the working principles of these technologies. For even more clarity, I would prefer something like this video produced by Xiph.org |
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Compression codecs and methods are also based extensively in the field of Psychoacoustics. For this, I thoroughly recommend the books available from the Focal Press, such as this one |
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I would recommend Wikipedia. They will have all the information you want, and have links to more information. |
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