Contents

Index

• Getting Started

• Wavelets: A New Tool for Signal Analysis

• Using Wavelets

Introduction to Wavelet Toolbox GUIs and Functions

• One-Dimensional Continuous Wavelet Analysis

Continuous Analysis Using the Command Line

Continuous Analysis Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• One-Dimensional Complex Continuous Wavelet Analysis

Complex Continuous Analysis Using the Command Line

Complex Continuous Analysis Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• One-Dimensional Discrete Wavelet Analysis

One-Dimensional Analysis Using the Command Line

One-Dimensional Analysis Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• Two-Dimensional Discrete Wavelet Analysis

Two-Dimensional Analysis Using the Command Line

Two-Dimensional Analysis Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• Wavelets: Working with Images

Understanding Images in the MATLAB Environment

Wavelet Decomposition of Indexed Images

RGB (Truecolor) Images

Wavelet Decomposition of Truecolor Images

Image Conversion

• One-Dimensional Discrete Stationary Wavelet Analysis

One-Dimensional Analysis Using the Command Line

One-Dimensional Analysis for De-Noising Using the Graphical Interface

Importing and Exporting from the GUI

• Two-Dimensional Discrete Stationary Wavelet Analysis

Two-Dimensional Analysis Using the Command Line

Two-Dimensional Analysis for De-Noising Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• One-Dimensional Wavelet Regression Estimation

One-Dimensional Estimation Using the GUI for Equally Spaced Observations (Fixed Design)

One-Dimensional Estimation Using the GUI for Randomly Spaced Observations (Stochastic Design)

Importing and Exporting Information from the Graphical Interface

• One-Dimensional Wavelet Density Estimation

One-Dimensional Estimation Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• One-Dimensional Variance Adaptive Thresholding of Wavelet Coefficients

One-Dimensional Local Thresholding for De-Noising Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

One-Dimensional Selection of Wavelet Coefficients Using the Graphical Interface

Two-Dimensional Selection of Wavelet Coefficients Using the Graphical Interface

• One-Dimensional Extension

One-Dimensional Extension Using the Command Line

One-Dimensional Extension Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• Two-Dimensional Extension

Two-Dimensional Extension Using the Command Line

Two-Dimensional Extension Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• Image Fusion

Image Fusion Using the Command Line

Image Fusion Using the Graphical Interface

• One-Dimensional Fractional Brownian Motion Synthesis

Fractional Brownian Motion Synthesis Using the Command Line

Fractional Brownian Motion Synthesis Using the Graphical Interface

Saving the Synthesized Signal

• New Wavelet for CWT

New Wavelet for CWT Using the Command Line

New Wavelet for CWT Using the Graphical Interface

Saving the New Wavelet

• Multivariate Wavelet De-Noising

Multivariate Wavelet De-Noising Using the Command Line

Multivariate Wavelet De-Noising Using the Graphical Interface

Importing and Exporting from the GUI

• Multiscale Principal Components Analysis

Multiscale Principal Components Analysis Using the Command Line

Multiscale Principal Components Analysis Using the Graphical Interface

Importing and Exporting from the GUI

• One-Dimensional Multisignal Analysis

One-Dimensional Multisignal Analysis Using the Command Line

One-Dimensional Multisignal Analysis Using the Graphical Interface

Importing and Exporting Information from the Graphical Interface

• Two-Dimensional True Compression

Two-Dimensional True Compression Using the Command Line

Two-Dimensional True Compression Using the Graphical Interface

Importing and Exporting from the GUI

• Release Notes

Using Wavelets

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

Introduction to Wavelet Toolbox™ GUIs and Functions

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

Image Fusion

One-Dimensional Fractional Brownian Motion Synthesis

New Wavelet for CWT

Multivariate Wavelet De-Noising

Multiscale Principal Components Analysis

One-Dimensional Multisignal Analysis

Two-Dimensional True Compression

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Introduction to the Wavelet Families Introduction to Wavelet Toolbox™ GUIs and Functions

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