Implementation Based on Lifting Wavelet Principle

This code implementation is provided as a reference based on the lifting wavelet principle. The implementation clearly demonstrates both forward and inverse transformation processes, featuring a modular design that separates the transformation logic into distinct functions. The algorithm follows the three-step lifting scheme (split, predict, and update) with optimized filter operations for efficient computation. Key functions include signal decomposition through high-pass and low-pass filtering, and reconstruction using inverse operations with proper coefficient handling. The code structure allows users to observe each transformation stage, making it particularly useful for understanding the fundamental concepts of lifting wavelet transforms and their practical implementation approaches. This implementation aims to facilitate better comprehension of lifting wavelet principles and hopes to be beneficial for educational and research purposes.