ABSTRACT
Differential coding achieves high coding efficiency by utilizing the correlation between pixels existing in image frames. Transform coding is another efficient coding scheme based on utilization of interpixel correlation. There are three components in a source encoder: transformation, quantization, and code word assignment. It is the transformation component that decides which format of input source is quantized and encoded. In differential pulse code modulation, for instance, the difference between an original signal and a predicted version of the original signal is quantized and encoded. The Discrete Fourier Transform (DFT) is of great importance in the field of digital signal processing. Owing to the fast Fourier transform based on the algorithm developed in, the DFT is widely utilized for various tasks of digital signal processing. The performance of the transforms can be compared in terms of the mean square reconstruction error as well. The discrete cosine transform is the best among the sub-optimum transforms in terms of energy compaction.
