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Discrete trigonometric transforms, such as the discrete cosine transform (DCT) and the discrete sine transform (DST), have been extensively used in signal processing for transform-based coding. The even type-II DCT, used in image and video coding, became specially popular to decorrelate the pixel data and minimize the
9 Nov 2014
Sinusoidal transforms, like the Discrete Cosine Transforms (DCT) and Discrete Fourier Transforms (DFT) use image-independent transformations. It is seen that DCT's energy compaction performance closely resembles that of KLT. Moreover, fast algorithms and architectures are available for DCT and DFT.
These things make it clear that we could possibly device a discrete cosine transform, for any N point real sequence by taking the 2N point DFT of an “Even extension" of sequence. DCT is, basically, used in image and speech processing. It is also used in compression of images and speech signals.
The Discrete Cosine Transform. (DCT):. Theory and Application. 1. Syed Ali Khayam. Department of Electrical & Computer Engineering. Michigan State University. March 10 th. 2003. 1 This document is intended to be tutorial in nature. No prior knowledge of image processing concepts is assumed. Interested readers should
For processing 1-D or 2-D signals (especially coding), a common method is to divide the signal into “frames" and then apply an invertible transform to each frame that compresses the information into few coefficients. The DFT has some problems when used for this purpose:
16 Oct 2008
4.3 2-D Discrete cosine transforms. One disadvantage of the DFT for some applications is that the transform is complex valued, even for real data. A related transform, the discrete cosine transform (DCT), does not have this problem. The DCT is a separate transform and not the real part of the DFT. It is widely used in image
The DCT transform of an image brings out a set of numbers called coefficients. A coefficient's usefulness is determined by its variance over a set of images as in video's case. If a coefficient has a lot of variance over a set, then it cannot be removed without affecting the picture quality.
Discrete Cosine Transform. • a much better transform, from this point of view, is the DCT. – in this example we see the amplitude spectra of the image above. – under the DFT and DCT. – note the much more concentrated histogram obtained with the DCT. • why is energy compaction important? – the main reason is.

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March 2018