Calculating Energy and Wavelet Entropy After Wavelet Decomposition

In this documentation, we demonstrate how to calculate energy and wavelet entropy after wavelet decomposition, providing complete implementations for both OFDM (Orthogonal Frequency Division Multiplexing) and WPM (Wavelet Packet Modulation) signals. We detail the wavelet decomposition process using algorithms like Discrete Wavelet Transform (DWT) and explain the mathematical formulations for computing energy distribution across decomposition levels and wavelet entropy measurements. The implementation includes key MATLAB functions such as wavedec for multi-level decomposition and wentropy for entropy calculation. Additionally, we discuss practical applications of OFDM and WPM signals in communication systems, supported by concrete examples and case studies that illustrate signal generation, decomposition parameters, and result analysis. Through these comprehensive explanations and practical code examples, you will gain deeper understanding of wavelet decomposition techniques and their application in advanced signal processing methodologies.