Distributions of the Two-Dimensional DCT Coefficients for Images

For a two-dimensional discrete cosine transform (DCT) image coding system, there have been different assumptions concerning the distributions of the transform coefficients. This paper presents results of distribution tests that indicate that for many images the statistics of the coefficients are bes...

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Bibliographic Details
Published in:I.R.E. transactions on communications systems 1983-06, Vol.31 (6), p.835-839
Main Authors: Reininger, R., Gibson, J.
Format: Article
Language:English
Subjects:
Discrete cosine transforms
Discrete transforms
Distribution functions
Electronic equipment testing
Image coding
Laplace equations
Performance evaluation
Signal to noise ratio
Statistical analysis
Statistical distributions
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Summary:For a two-dimensional discrete cosine transform (DCT) image coding system, there have been different assumptions concerning the distributions of the transform coefficients. This paper presents results of distribution tests that indicate that for many images the statistics of the coefficients are best approximated by a Gaussian distribution for the DC coefficient and a Laplacian distribution for the other coefficients. Furthermore, from a simulation of the DCT coding System it is shown that the assumption that the coefficients are Laplacian yields a higher actual output signal-to-noise ratio and a much better agreement between theory and simulation than the Gaussian assumption.
ISSN:0090-6778
0096-2244
1558-0857
DOI:10.1109/TCOM.1983.1095893