Wavelet Decomposition and Reconstruction Functions

(1) Signal wavelet decomposition for frequency analysis, (2) Threshold quantization of high-frequency coefficients from wavelet decomposition for noise reduction, (3) Signal reconstruction using decomposed wavelet coefficients and quantized high-frequency coefficients

Image Denoising Using Lifting Wavelet Decomposition

This practical example demonstrates image denoising through lifting wavelet decomposition, which follows the same fundamental approach as conventional denoising methods by applying threshold quantization to high-frequency wavelet coefficients to achieve noise reduction.