PCM fundamentals: Ideal coding concept ; PCM bandwidth ; Sampling and reconstruction of signals ; Quantisation -- Lossless source coding: Run-length coding ; Information measure and source entropy ; Variable-length coding ; Arithmetic coding ; LZW compression -- Lossy source coding: Transform coding ; MPEG video coding ; Speech coding -- Transmission codes and pseudorandom codes: Pulse shaping ; Line codes ; Partial response signalling ; Correlation of sequences -- Error control systems ; Power and bandlimited channels ; Optimal decoding ; Decoded error rate -- Error control block codes: Cyclic codes -- Non-algebraic decoding ; Algebraic decoding ; Reed-Solomon (RS) codes ; Product codes -- Convolutional codes: Code trellis ; Viterbi decoding ; Code spectra ; Parallel concatenated convolutional codes ; Serial concatenated convolutional codes ; Convergence of iterative decoding systems

1. Digital communications
2. Coding theory
3. Data compression (Telecommunications)
4. Error-correcting codes (Information theory)