I am trying to digest this paper.

[2002] Anna Usakova. Using Of Discrete Orthogonal Transforms For Convolution

So far, I've been successful with DFT and DHT. Could someone give a hand with DCT?

I am trying to reproduce the convolution theorem for DCT-I and DCT-II. But my results never match the same as the result I get with DFT and DHT.

enter image description here

I am reading reference 9 of the paper

RAO, K. R.—YIP, P.: Discrete Cosine Transform — Algo- rithms, Advantages, Applications, Academic Press, Inc., Lon- don, 1990.

But it puts the conv. theorem of DCT-II in other terms.

I have also read other works, such as

[1994] Martucci. Symmetric Convolution and the Discrete Sine and Cosine Transforms

[2011] Roma. A tutorial overview on the properties of the discrete cosine transform for encoded image and video processing

and others. But I am interested on the Conv. Theorem on a similar fashion as the first two references.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.