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This is a graduate-level introduction to mathematics of information theory.

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English

English [CC]

FREE

Description

We will cover both classical and modern topics, including information entropy, lossless data compression, binary hypothesis testing, channel coding, and lossy data compression.

Course content

    • Chapter 1: Information measures: Entropy and divergence Unlimited
    • Chapter 2: Information measures: Mutual information Unlimited
    • Chapter 3: Sufficient statistic. Continuity of divergence and mutual information. Unlimited
    • Chapter 4: Extremization of mutual information: Capacity saddle point Unlimited
    • Chapter 5: Single-letterization. Probability of error. Entropy rate. Unlimited
    • Chapter 6: Variable-length Lossless Compression Unlimited
    • Chapter 7: Fixed-length (almost lossless) compression. Slepian-Wolf problem Unlimited
    • Chapter 8: Compressing stationary ergodic sources Unlimited
    • Chapter 9: Universal compression Unlimited
    • Chapter 10: Binary hypothesis testing Unlimited
    • Chapter 11: Hypothesis testing asymptotics I Unlimited
    • Chapter 12: Information projection and Large deviation Unlimited
    • Chapter 13: Hypothesis testing asymptotics II Unlimited
    • Chapter 14: Channel coding Unlimited
    • Chapter 15: Channel coding: Achievability bounds Unlimited
    • Chapter 16: Linear codes. Channel capacity. Unlimited
    • Chapter 17: Channels with input constraints. Gaussian channels. Unlimited
    • Chapter 18: Lattice codes Unlimited
    • Chapter 19: Channel coding: Energy-per-bit, continuous-time channels Unlimited
    • Chapter 20: Advanced channel coding. Source-Channel separation. Unlimited
    • Chapter 21: Channel coding with feedback Unlimited
    • Chapter 22: Capacity-achieving codes via Forney concatenation Unlimited
    • Chapter 23: Rate-distortion theory Unlimited
    • Chapter 24: Rate distortion: Achievability bounds Unlimited
    • Chapter 25: Evaluating R(D). Lossy Source-Channel separation. Unlimited
    • Chapter 26: Multiple-access channel Unlimited
    • Chapter 27: Examples of MACs. Maximal Pe and zero-error capacity. Unlimited
    • Chapter 28: Random number generators Unlimited

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Instructor

Massachusetts Institute of Technology
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