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Lossy Coding

Theorem

Achievability of the Rate Distortion Function

Definition

Achievable

Definition

Average Probability of Error (Channel Code)

Definition

Average Probability of Error (Source-Channel Code)

Definition

Binary Erasure Channel

Definition

Binary Symmetric Channel

Definition

Binary Symmetric Erasure Channel

Definition

Discrete Communication Channel

Definition

Discrete Memoryless Channel

Definition

Distortion

Definition

Distortion Measure

Definition

Distortion Rate Function

Definition

Fixed-Length Codes for Discrete Channels

Theorem

Gaussian Rate Distortion Function

Theorem

Gaussian Source Maximizes Rate Distortion Function

Definition

Hamming Distortion

Theorem

Hamming Rate Distortion Function

Definition

Information Capacity

Theorem

Joint AEP

Theorem

Lossless Joint Source-Channel Coding Theorem

Theorem

Lossy Source-Channel Coding Theorem

Definition

Mean Squared Error Distortion

Definition

Operational Channel Capacity

Theorem

R(D) is Convex in D

Definition

Rate

Definition

Rate Distortion Function

Theorem

Rate Distortion Theorem

Definition

Reproduction

Definition

Shannon Limit

Theorem

Shannon's Channel Coding Theorem for the DMC

Definition

Source-Channel Fixed-Length Code

Definition

Symmetric Channel