Lecture

Shannon's Theorem

Description

This lecture covers the basics of binary codes, including definitions, examples, and the concept of prefix-free binary codes. It then introduces Shannon's Theorem, stating that for any prefix-free binary code used to represent a given sequence, the entropy of the sequence is always less than or equal to the average code length. The lecture also explains Kraft's inequality and provides a detailed demonstration of Shannon's Theorem, showcasing the relationship between entropy and code length. Additional inequalities related to entropy and code length are discussed, highlighting the limits of lossless data compression.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.