Continuous Wavelet Transforms
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.
|Continuous 1-D wavelet transform|
|Inverse continuous 1-D wavelet transform|
|Continuous wavelet transform filter bank|
|Continuous wavelet transform with filter bank|
|CWT filter bank frequency responses|
|Time-averaged wavelet spectrum|
|Scale-averaged wavelet spectrum|
|CWT maximum and minimum frequency or period|
|Wavelet coherence and cross-spectrum|
|Wavelet synchrosqueezed transform|
|Inverse wavelet synchrosqueezed transform|
|Time-frequency ridges from wavelet synchrosqueezing|
|Wavelet transform modulus maxima|
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
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.