CompSci 267P: Data Compression – Summer 2018

1. Introduction
   • terminology and applications
   • performance measures
   • information theory
2. Fixed Codes
   • types of codes – time variance, I/O code rates, decodability
   • fixed finite codes – enumerative coding, phasing in, multiple-length, start-step-stop
   • fixed infinite codes – Elias, Even-Rodeh, Fibonacci, Golomb, Rice, variable-byte
3. Coding Techniques
   • variable-sized codes – Kraft-MacMillan, universal compression
   • compact codes
   • Shannon theorem, Shannon coding
   • Shannon-Fano coding
   • Huffman coding – classic, adaptive, length-limited, alternating run-length, modified, fast decoding
   • Tunstall codes
   • arithmetic coding
   • variable-cost alphabet
   • coding increasing integer sequences
4. Modeling
   • introduction and categorization
   • dictionary methods (defined-word schemes) – MTF
   • dictionary methods (free-parse schemes) – LZ, LZ-77/-78 families
   • context modeling – PPMC, SCM, Symbol Ranking, BWT
5. Text Compression Systems
   • PC systems and performance
   • error control
   • CRC
6. Lossless Image Compression
   • run-length encoding – BinHex, PDQ
   • bi-level images – facsimile, quadtrees, Hilbert curve, JBIG, JBIG2
   • lossless grayscale – cond'l RLE, MLP, progressive FELICS, JPEG-LS
   • lossless color – PNG
7. Lossy Compression
   • distortion and perception measures
   • scalar quantization – uniform, Lloyd-Max, Jayant
   • block truncation coding
   • vector quantization – LBG, tree-structured, lattice, trellis
   • differential encoding – DPCM, ADPCM, delta modulation
   • transform coding
   • wavelets
8. Lossy Image Compression
   • expressing color
   • JPEG – DCT quantization and encoding, JPEG modes
   • MPEG video – MPEG-1, MPEG-2
9. Audio Compression
   • audio quality, sampling
   • waveform codecs
   • companding – mu-law, A-law
   • subband coding, masking
   • MPEG audio – layers 1,2,3 and MDCT
   • speech