Wavelet Toolbox

General Concepts

This section presents a brief overview of wavelet concepts, focusing mainly on the orthogonal wavelet case. It includes the following sections:

• Wavelets: A New Tool for Signal Analysis
• Wavelet Decomposition: A Hierarchical Organization
• Finer and Coarser Resolutions
• Wavelet Shapes
• Wavelets and Associated Families
• Wavelet Transforms: Continuous and Discrete
• Local and Global Analysis
• Synthesis: an Inverse Transform
• Details and Approximations

Mathematical Conventions

Wavelets: A New Tool for Signal Analysis