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Theses

2010

Discrete cosine transform

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A Study Of Probability Distributions Of Dct Coefficients In Jpeg Compression, Gopal Thirumalai Narayanan May 2010

A Study Of Probability Distributions Of Dct Coefficients In Jpeg Compression, Gopal Thirumalai Narayanan

Theses

The Discrete Cosine Transform (DCT) used in JPEG compression has shown excellent energy compaction properties that rival that of the ideal Karhunen-Loève Transform. Lossy compression in JPEG is achieved by distorting 8x8 block DCT coefficients through quantization. It has been shown in literature that DC block DCT coefficients are Gaussian probability distributed and AC block DCT coefficients are Generalized Normal probability distributed.

In this investigation, three probability density models for individual modes of non- quantized AC block DCT coefficients are evaluated and are used as basis for the derivation of probability distributions for quantized block DCT coefficients. The suitability of …