Dual-Tree Complex Wavelet Transform Implementation

This documentation provides a comprehensive implementation of the dual-tree complex wavelet transform along with detailed usage instructions. The program package includes multiple wavelet transform functions that can be selected based on specific application requirements. The dual-tree complex wavelet transform represents an efficient and accurate signal processing method applicable to various domains including image processing, audio analysis, and data compression. The implementation features key functions for signal decomposition and reconstruction, employing a two-tree filter bank structure that provides approximate shift-invariance and directional selectivity. Users can perform signal analysis, feature extraction, and data transformation operations through well-documented API calls. The code architecture supports both real and complex-valued signals, with optimized filter coefficients for different wavelet families. Whether you are a professional researcher or a beginner in signal processing, this implementation meets diverse requirements and facilitates better understanding and application of wavelet transform techniques through practical examples and modular code design.