Continuous Wavelet Transforms

1-D and 2-D CWT, inverse 1-D CWT, 1-D CWT filter bank, wavelet cross-spectrum and coherence

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, visualize wavelet bandpass filters, and obtain high resolution time-frequency representations using wavelet synchrosqueezing.

Functions

expand all

 cwt Continuous 1-D wavelet transform icwt Inverse continuous 1-D wavelet transform cwtfilterbank Continuous wavelet transform filter bank wt Continuous wavelet transform with filter bank freqz CWT filter bank frequency responses timeSpectrum Time-averaged wavelet spectrum scaleSpectrum Scale-averaged wavelet spectrum cwtfreqbounds CWT maximum and minimum frequency or period 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
 cwtft2 2-D continuous wavelet transform cwtftinfo2 Supported 2-D CWT wavelets and Fourier transforms

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 Modulated Signals

This example shows how to use the continuous wavelet transform (CWT) to analyze modulated signals.

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.

Boundary Effects and the Cone of Influence

Learn about the cone of influence and how it represents regions of significant boundary effects.

Morse Wavelets

Learn about the generalized Morse family of analytic wavelets.

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.

Wavelet Synchrosqueezing

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

Wavelet Toolbox Documentation Get trial now