MATLAB Implementation of Haar Complex Wavelet with Source Code

This MATLAB implementation provides the complete source code for Haar complex wavelet transform, serving as an excellent learning resource for those studying filtering techniques and wavelet applications. The Haar complex wavelet is a fundamental signal processing method widely used in applications such as signal denoising, feature extraction, and multi-resolution analysis. The implementation includes key functions for wavelet decomposition and reconstruction, demonstrating how to handle both real and imaginary components of the complex wavelet transform. The code showcases the algorithm's core operations including filtering stages, downsampling/upsampling procedures, and the combination of real and imaginary parts to form the complex wavelet coefficients. Through practical code examples, learners can understand how to implement Haar complex wavelet transform in MATLAB environment and modify the code according to specific requirements. The implementation covers essential aspects such as signal padding strategies, filter bank design, and coefficient thresholding techniques for denoising applications. Both beginners and experienced engineers can benefit from this source code, gaining valuable insights into wavelet theory and practical implementation skills. The code structure follows standard wavelet transform conventions while providing clear comments for easy understanding and customization.