Abstract: This paper is concerned with new coding theorems for (a) fixed-length coding of a general source, and (b) coding of Shannon's cipher system with a general ...

Abstract: In this chapter, the authors mainly study continuous random variables, rather than finite discrete variables. They prove the Whittaker–Shannon sampling theorem and outline a proof of Shannon ...

Claude E. Shannon, in his groundbreaking 1948 paper “A Mathematical Theory of Communication”, introduced the concept of a noisy channel and laid the foundation for modern digital communication. The ...

1. Basic Information and Coding Theorems: entropy, Huffman Codes, Mutual Information, Channel Capacity, Shannon’s theorems; 2. Error Control Coding: Coding ...

Large language models (LLMs) hallucinate. There’s just no way around that, thanks to how they’re designed and fundamental limitations on data compression as expressed in the Shannon Information ...

It is possible to generate the German time signal DCF77 at 77.5 kHz, as demonstrated in this article. We feature a PC as ...