Chapter 4: The Method of Types and Error Exponents

Learning Objectives

• Understand the type of a sequence and the type class as combinatorial objects
• Apply Sanov's theorem to bound probabilities of rare events via KL divergence
• Derive error exponents for source coding and relate redundancy to reliability
• Derive random coding, sphere-packing, and expurgated exponents for channel coding
• Connect error exponent analysis to practical code design considerations