Information And Coding: Theory

The goal is to ensure reliable transmission by adding that allows the receiver to detect and correct errors caused by noise.

Hamming codes, Reed-Solomon codes (used in CDs), and modern Low-Density Parity-Check (LDPC) or Polar codes (used in 5G). 4. Summary of Key Differences Source Coding Channel Coding Primary Goal Efficiency (Compression) Reliability (Error Correction) Action Removes redundancy Adds redundancy Metric Channel Capacity ( Timing Performed before transmission Performed during/for transmission 5. Modern Applications Information and Coding Theory

is the practical application of these principles, focusing on the design of explicit methods— codes —to achieve the theoretical limits set by information theory. 2. Core Concepts of Information Theory The goal is to ensure reliable transmission by

Shannon proved that if the transmission rate ( ) is less than the capacity ( ), error-free communication is possible. 3. Branches of Coding Theory Summary of Key Differences Source Coding Channel Coding

Coding theory is generally divided into two main categories based on the problem they solve:

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