Signal Multiresolution Analyzer
Decompose signals into time-aligned components
Description
The Signal Multiresolution Analyzer app is an interactive tool for visualizing multilevel wavelet- and data adaptive-based decompositions of real-valued 1-D signals and comparing results. The app supports single- and double-precision data. With the app, you can:
Access all the real-valued 1-D signals in your MATLAB® workspace.
Generate decompositions using fixed-bandwidth and data-adaptive multiresolution analysis (MRA) methods:
Fixed-bandwidth: Maximal overlap discrete wavelet transform (MODWT) (default), and empirical mode decomposition (EMD)
Data-adaptive: Empirical wavelet transform (EWT), tunable Q-factor wavelet transform (TQWT), and variational mode decomposition (VMD)
Adjust default parameters, and visualize and compare multiple decompositions.
Choose decomposition levels to include in the signal reconstruction.
Obtain frequency ranges of the decomposition levels.
Determine the relative energy of the signal across levels.
Export reconstructed signals and decompositions to your workspace.
Recreate decompositions in your workspace by generating MATLAB scripts.
Open the Signal Multiresolution Analyzer App
MATLAB Toolstrip: On the Apps tab, under Signal Processing and Communications, click the app icon.
MATLAB command prompt: Enter
signalMultiresolutionAnalyzer
.
Examples
Related Examples
Parameters
Wavelet
— Orthogonal wavelet family
sym
(default) | coif
| db
| fk
Orthogonal wavelet family to use to generate the multiresolution analysis (default), specified as:
sym
— Symletscoif
— Coifletsdb
— Daubechies waveletsfk
— Fejér-Korovkin wavelets
The Wavelet
parameter is applicable only for
generating a multiresolution analysis.
For more information about the wavelets, use the waveinfo
function. For example, to learn more about Daubechies wavelets,
enter waveinfo('db')
.
Interpolation
— Interpolation method
spline
(default) | pchip
Interpolation method to use for envelope construction in empirical mode decomposition, specified as one of the following:
spline
— Cubic spline interpolationpchip
— Piecewise cubic Hermite interpolating polynomial method
The Interpolation
parameter is applicable only for
generating an empirical mode decomposition. You can change other options with the app
when creating empirical mode decompositions. For more information, see emd
.
Programmatic Use
Tips
To decompose more than one signal simultaneously, you can run multiple instances of the Signal Multiresolution Analyzer app.
For the MODWT and TQWT decomposition methods, the script generated by the Signal Multiresolution Analyzer app supports
gpuArray
(Parallel Computing Toolbox) inputs.
Algorithms
References
[1] Percival, Donald B., and Andrew T. Walden. Wavelet Methods for Time Series Analysis. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge ; New York: Cambridge University Press, 2000.
Version History
Introduced in R2018b