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R2012a Documentation → Wavelet Toolbox
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Contents

Index

• Getting Started

• Getting Started with Wavelet Toolbox Software

• Product Description

• Installing Wavelet Toolbox Software

System Recommendations

Platform-Specific Details

• Wavelets: Tools for Sparse Representation

What is a Wavelet?

What Can Wavelet Analysis Do?

• From Fourier Analysis to Wavelet Analysis

Fourier Transform

Short-Time Fourier Transform

• Continuous Wavelet Transform

Definition of the Continuous Wavelet Transform

CWT as a Windowed Transform

CWT as a Filtering Technique

Continuous Wavelet Transform via the Inverse Discrete Fourier Transform

Inverse Continuous Wavelet Transform

Five Easy Steps to a Continuous Wavelet Transform

Interpreting the CWT Coefficients

What's Continuous About the Continuous Wavelet Transform?

• Critically-Sampled Discrete Wavelet Transform

One-Stage Filtering: Approximations and Details

Multiple-Level Decomposition

• Critically-Sampled Wavelet Reconstruction

Reconstruction Filters

Reconstructing Approximations and Details

Wavelets From Conjugate Mirror Filters

Wavelet Packet Analysis

• Introduction to the Wavelet Families

Other Real Wavelets

Complex Wavelets

• Using Wavelets

Introduction to Wavelet Toolbox GUIs and Functions

• 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 Wavelet Density Estimation

One-Dimensional Estimation 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

• Getting Started with Wavelet Analysis

Wavelet Families and Properties

Visualizing Wavelets, Wavelet Packets, and Wavelet Filters

Continuous Wavelet Analysis

Critically-Sampled Discrete Wavelet Analysis

Nondecimated Discrete Wavelet Analysis

Critically-Sampled Wavelet Packet Analysis

Matching Pursuit

• User's Guide

• Release Notes

Getting Started

Getting Started with Wavelet Toolbox Software
Using Wavelets

Getting Started with Wavelet Toolbox Software

Getting Started with Wavelet Toolbox Software

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