Simple Wavelet Packet Decomposition and Reconstruction of Single-Channel Signals

This document discusses the fundamental process of wavelet packet decomposition and reconstruction for single-channel signals, along with methods for calculating wavelet energy entropy. The implementation typically involves using MATLAB's Wavelet Toolbox functions such as wpdec for decomposition and wprec for reconstruction. For energy entropy calculation, you would compute the energy distribution across different frequency bands using norm calculations on wavelet coefficients, then apply Shannon's entropy formula. To deepen your understanding of wavelet packet decomposition and reconstruction processes, we recommend exploring different types of wavelet transforms and their respective application scenarios. Furthermore, you can investigate how to integrate wavelet transforms with other signal processing techniques, such as filter design and digital signal processing methods. These techniques provide valuable insights into fundamental signal processing concepts and their practical applications in real-world problems.