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But then this is equivalent to the cosine transform, isn't it? A much better trick than mirrored repetition seems to be the "periodic + smooth" decomposition: https://sbrisard.github.io/posts/20180212-on_the_periodic-pl...


Yeah, and its good at minimizing high frequencies, which is why the dct is used in image compression. There is no good general windowing, understanding is key, and where smoothing or windowing will hide the effect of the border, thus inhibiting understanding, mirroring helps understanding.




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