The Discussion on Shannon channel capacity formula from the viewpoint of signal uncertainty and Research on the Technique of Breaking through the Shannon Limit

TL;DR

This paper examines the Shannon channel capacity formula through the lens of signal uncertainty and explores techniques, like time-shift non-orthogonal multicarrier modulation, to surpass the Shannon limit in digital communication.

Contribution

It analyzes the relationship between Shannon capacity and signal uncertainty, and introduces a practical modulation method to break through the Shannon limit.

Findings

Shannon capacity relates to signal uncertainty principles.

Time-shift non-orthogonal multicarrier modulation can surpass Shannon limit.

The technique has been practically developed over twenty years.

Abstract

In this paper, firstly, the Shannon channel capacity formula is briefly stated, and the relationship between the formula and the signal uncertainty principle is analyzed in order to prepare for deriving the formula which is able to break through the Shannon channel capacity. Then, as a practical example of breaking the Shannon limit, the time-shift non orthogonal multicarrier modulation technology is introduced. After more than twenty years of development, this technique is proved to be a practical modulation technique for digital communication.