Wavelet Decomposition of Speech Signals Using Different Wavelets

Resource Overview

Implement speech signal decomposition with various wavelets in MATLAB, extract multi-level high/low frequency coefficients, visualize coefficient waveforms, and perform signal reconstruction.

Detailed Documentation

In this experiment, we utilize MATLAB to decompose a speech signal using different wavelet transforms and extract high/low frequency coefficients at multiple decomposition levels. The implementation involves using MATLAB's Wavelet Toolbox functions such as wavedec for multi-level decomposition and waverec for reconstruction. We will visualize the coefficient waveforms through plotting functions like subplot and plot to analyze frequency-domain characteristics. This process demonstrates how different wavelets (e.g., Haar, Daubechies, Symlets) affect signal processing outcomes, highlighting their unique filter bank properties and frequency resolution capabilities. The reconstruction phase verifies decomposition accuracy by comparing original and reconstructed signals using error metrics.