Mathematical preliminaries for lossless compression -- Huffman coding -- Arithmetic coding -- Dictionary techniques -- Context-based compression -- Lossless image compression -- Mathematical preliminaries for lossy coding -- Scalar quantization -- Vector quantization -- Differential encoding -- Mathematical preliminaries for transforms, subbands, and wavelets -- Transform coding -- Subband coding -- Wavelets -- Wavelet-based image compression --Audio coding -- Analysis/synthesis and analysis by synthesis schemes -- Viedo compression -- Probability and random processes -- a brief review of matrix concepts

1. Data compression (Telecommunication)
2. Coding theory