Application of Wavelet Analysis in Signal Processing

Signal analysis is a significant part of current information processing. In the early days, when the Fourier transform was mainly used for processing, only frequency domain analysis could be performed, resulting in incomplete signal analysis. Based on this, the wavelet transform introduces a time-domain window, which makes signal analysis more effective. Wavelet analysis is the inheritance and development of Fourier transform. This paper introduces the actual background of wavelet theory and the basic principles of wavelet transform. On the basis of the comparative analysis of Fourier transform and wavelet transform, it focuses on the application of Matlab wavelet analysis in speech signal analysis, denoising and compression.