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Lossless Coding

Definition

Average Code Rate

Definition

Code Rate

Definition

Codebook

Definition

Codeword

Theorem

Dirichlet Mixture Distribution

Theorem

Divergence Bound on KT

Definition

Fixed-Length (Block) Code

Theorem

Huffman Lemma

Kac's Lemma (Stationary Ergodic)

Theorem

Kraft Inequality for UD VLCs

Theorem

Krichevsky and Trofimov Coding Distribution

Lempel-Ziv Coding

Theorem

Max Redundancy on KT

Definition

Nonsingular Code

Theorem

Number of Types

Theorem

Penalty Lemma

Prefix Code

Definition

Prefix Code Redundancy

Definition

Probability of Decoding Error

Definition

Probability Simplex

Definition

Redundancy

Definition

Set of Types with Denominator n

Theorem

Shannon Coding Theorem

Shannon-Fano-Elias Code

Theorem

Size of Type Class

Definition

Type

Definition

Type Class

Definition

Uniquely Decodable

Definition

Universal Code

Theorem

Universal Code PMF Q

Definition

Variable Length Code

Theorem

Zero Penalty iff Universal Code