A Review of Wavelet Analysis and Its Applications: Challenges and Opportunities

As a general and rigid mathematical tool, wavelet theory has found many applications is constantly developing. This article reviews the development history of theory, from construction method to discussion properties. Then it focuses on design expansion transform. The main models algorithms transform are discussed. rational (RWT) provided by examples emphasizing advantages RWT over traditional through review literature. combination neural networks one key points review. covers evolution Wavelet Neural Network (WNN), system architecture algorithm implementation. literature indicates clear trend fast inWNNthat can be combined with existing network algorithms. also introduces categories wavelet-based applications. analysis summarized in terms application scenarios comparison results. Through review, new research challenges gaps have been clarified, which will serve as guide for potential designs.