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I am a PH.D in mathematics. I am interested in finding some applications of discrete Sine/Cosine transformations (DTTs) that are based on the eigenvectors.

I have found some results concerning computing the eigenvectors of DTTs. Indeed they suggest some ways to find them approximately (See for examples Tseng and Pei).

Q. Suppose that we have determined a basis of eigen-vectors for some type of discrete Sine/Cosine transformations. Based on having this knowledge in this particular issue, what applications will be leaded to find?

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  • $\begingroup$ The first link you included talks about a watermarking scheme. That’s where you embed a mark into an image in a way that is not noticeable, is hard to remove without destroying the image, and can be used to prove the image’s origin. $\endgroup$ Jan 22, 2023 at 14:35

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Discrete Cosine transform (2D-DCT) is used in image compression. I've used DCT (1D DCT), for audio compression . Transmitting/storing the first few DCT transform values, is sufficient to recover the entire file/signal , which is nothing but compression

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  • $\begingroup$ Thanks, Could you please give some more details concerning the role of the eigenvectors? $\endgroup$
    – ABB
    Dec 21, 2022 at 16:07

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