Overview - ECE 6605, Information Theory

Topics Covered

  1. Basic Concepts related to Information Theory
    1. Entropy - Shannon and Renyi
    2. Information
    3. Fano's Inequaluty
    4. Jensen's Inequality
    5. Markov Chains
    6. Log-Sum inequality
    7. f-Divergence
  2. Typical Set theorem
  3. Asymptomatic Equipartition Property
  4. Data Compression - Source Coding
  5. Channle Coding
    1. Binary Switching Channel
    2. Binary Erasure Channel
    3. With Side Information
  6. Coding for secrecy -
    1. Soft-Covering: As close to random distribution
    2. WireTap Channel: Zero information leakage to eavesdropper
  7. Privacy Amplification
  8. Secrecy

Other Topics

  • Bit commitment