Lecture notes on signal processing in high dimensional space

In the course of signal and information processing, the linear processing method is easier to master than the nonlinear process. However, in practical application, the nonlinear problem is often encountered, which is too complex to be limited by the existing signal and information processing resources. Therefore, it is necessary to transform the complex nonlinear problem into a simple linear problem. According to teaching practice of signal processing course, the linear correlation characteristics of signal in high dimensional space analysis are discussed in this paper. From the perspective of information theory, the advantages of high dimensional spatial analysis and processing of signal and information are also discussed. The results of this paper can provide a new perspective for students to understand why we analyze and deal with signal and information processing in high dimensional space.