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

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.