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Discrete Cosine Transform (DCT) is a mathematical tool that has a lot of electronics applications, from audio filters to video compression hardware. DCT transforms the information from the time or space domains to the frequency domain, such that other tools and transmission media can be run or used more efficiently to reach application goals: compact representation, fast transmission, memory savings, and so on. Transform coding constitutes an integral component of contemporary image/video processing applications. Transform coding relies on the premise that pixels in an image exhibit a certain level of correlation with their neighboring pixels. Similarly in a video transmission system, adjacent pixels in consecutive frames show very high correlation. Consequently, these correlations can be exploited to predict the value of a pixel from its respective neighbors. Like other transforms, the Discrete Cosine Transform attempts to decorrelate the image data. After decorrelation each transform coefficient can be encoded independently without losing compression efficiency.

We have developed a fast and efficient MEX implementation for 8x8 DCT and IDCT. Matlab callable C programs are referred to as MEX-files. MEX-files are dynamically linked subroutines that the Matlab interpreter can automatically load and execute. This code can be easily converted into simple C code and it does not require any external library or toolbox. DCT and IDCT codes for arbitrary size images are available on request.

Index Terms: Matlab, source, code, c, c++, dct, idct, discrete cosine transform.

 

 

 

 

 

Figure 1. 8x8 DCT coefficients



A simple and effective source code for Discrete Cosine Transform.

Release
Date
Major features
1.0

2008.03.20



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The authors have no relationship or partnership with The Mathworks. All the code provided is written in Matlab language (M-files and/or M-functions), with no dll or other protected parts of code (P-files or executables). The code was developed with Matlab 14 SP1. Matlab is required. The code provided has to be considered "as is" and it is without any kind of warranty. The authors deny any kind of warranty concerning the code as well as any kind of responsibility for problems and damages which may be caused by the use of the code itself including all parts of the source code.

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