# Documentation

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# Continuous Wavelet Transforms

1-D and 2-D CWT, inverse 1-D CWT, scalogram, wavelet cross-spectrum and coherence, real- and complex-valued wavelets

Obtain the continuous wavelet transform (CWT) of a signal or image, construct signal approximations with the inverse CWT, compare time-varying patterns in two signals using wavelet coherence, and obtain high resolution time-frequency representations using wavelet synchrosqueezing.

## Functions

 `cwt` Continuous 1-D wavelet transform `icwt` Inverse continuous 1-D wavelet transform `cwtft2` 2-D continuous wavelet transform `cwtftinfo2` Supported 2-D CWT wavelets and Fourier transforms `wcoherence` Wavelet coherence and cross-spectrum `wsst` Wavelet synchrosqueezed transform `iwsst` Inverse wavelet synchrosqueezed transform `wsstridge` Time-frequency ridges from wavelet synchrosqueezing `wtmm` Wavelet transform modulus maxima
 `wavemngr` Wavelet manager

## Apps

 Wavelet Analyzer Analyze signals and images using wavelets

## Topics

### 1-D CWT Analysis and Synthesis

Continuous Wavelet Analysis

Perform time-frequency analysis with the continuous wavelet transform.

Continuous Wavelet Analysis of Cusp Signal

Understand the differences between wavelet transform modulus maxima and the CWT of a cusp signal.

Inverse Continuous Wavelet Transform

Understand the mathematics of the inverse continuous wavelet transform.

Wavelet Synchrosqueezing

Time-frequency reassignment technique for analyzing signals with oscillating modes.

### 2-D CWT Analysis

Two-Dimensional CWT of Noisy Pattern

This example shows how to detect a pattern in a noisy image using the 2-D continuous wavelet transform (CWT).

2-D Continuous Wavelet Transform App

Analyze image data and export the results using the Wavelet Analyzer app.

### Wavelet Coefficients, Scales, and Synchrosqueezing

Interpreting Continuous Wavelet Coefficients

Understand wavelet coefficients through illustrative examples.

Continuous Wavelet Transform and Scale-Based Analysis

Learn about the continuous wavelet transform and the relationship between frequencies and scales.

Continuous Wavelet Transform as a Bandpass Filter

Understand the continuous wavelet transform as bandpass filtering.