# Questions tagged [dct]

The Discrete Cosine Transform expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies.

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### DCT with Matlab

I tried to create a Matlab/Octave code to implement this DCT formula. Is the code below correct? As a help I used the code from this site and modified it a bit ...
72 views

### Fast algorithm for n-dimensional DCT

I need to implement an encoder which compresses a 5-dimensional structure of 10 bits values. Each dimension has between 4 and 12 elements. If a dimension ever has more than 12 elements, it is ...
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### Apply the Discrete Fourier Transform as a Matrix Multiplication in MATLAB

0 I have a vector x of length N x 1, I need to perform the iDCT operation for it using MATALB. I performed that using the below method: ...
60 views

### Is the DCT prone to spectral leakage like the DFT?

My understanding is that the DCT assumes the input to be an even periodic signal. This avoids the discontinuity that can occur in the periodic extension assumed by the DFT (see image). Does this lack ...
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### DCT and Convolution, [1994, Martucci]

I am really trying to digest this paper, but the more I read it again, the more I realize that I never fully understood it. Basically, I am trying to get an example where I can check the similarities ...
141 views

### How does DCT decorrelate images?

I've read in multiple places that DCT decorrelates Toeplitz matrices and images usually have Toeplitz structure. Can you explain with an example how DCT decorrelates a Toeplitz matrix? Example for DFT:...