Multi-Scale Decomposition Using DB4 Wavelet

This denoising program utilizes DB4 wavelet for multi-scale decomposition with 6 decomposition levels. The algorithm performs decomposition and denoising at different scales based on the signal's frequency components, thereby enhancing signal quality and clarity. By decomposing the signal into different frequency bands, it enables better understanding of the signal's characteristics and structure, facilitating more accurate analysis and processing. In implementation, the wavelet transform breaks down the signal into approximation coefficients (low-frequency components) and detail coefficients (high-frequency components) at each level, with thresholding techniques applied to remove noise while preserving important signal features. This denoising method is widely used in signal processing fields to effectively eliminate noise interference and extract useful signal information, consequently improving signal readability and reliability. The DB4 wavelet's compact support and orthogonality properties make it particularly suitable for detecting sharp signal changes and transient features during the decomposition process.