Wavelet Toolbox

Using Wavelets

The Wavelet Toolbox contains graphical tools and command line functions that let you

• Examine and explore properties of individual wavelets and wavelet packets
• Examine statistics of signals and signal components
• Perform a continuous wavelet transform of a one-dimensional signal
• Perform discrete analysis and synthesis of one- and two-dimensional signals
• Perform wavelet packet analysis of one- and two-dimensional signals ( see Using Wavelet Packets)
• Compress and remove noise from signals and images

In addition to the above, the toolbox makes it easy to customize the presentation and visualization of your data. You choose

• Which signals to display
• A region of interest to magnify
• A coloring scheme for display of wavelet coefficient details

This chapter takes you step-by-step through examples that teach you how to use the graphical tools and command line functions. These examples include

• One-Dimensional Continuous Wavelet Analysis
• One-Dimensional Complex Continuous Wavelet Analysis
• One-Dimensional Discrete Wavelet Analysis
• Two-Dimensional Discrete Wavelet Analysis
• Wavelets: Working with Images
• One-Dimensional Discrete Stationary Wavelet Analysis
• Two-Dimensional Discrete Stationary Wavelet Analysis
• One-Dimensional Wavelet Regression Estimation
• One-Dimensional Wavelet Density Estimation
• One-Dimensional Variance Adaptive Thresholding of Wavelet Coefficients
• One-Dimensional Selection of Wavelet Coefficients Using the Graphical Interface
• Two-Dimensional Selection of Wavelet Coefficients Using the Graphical Interface
• One-Dimensional Extension
• Two-Dimensional Extension

Complex Wavelets

One-Dimensional Continuous Wavelet Analysis