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Time-Frequency Analysis

Spectrogram, synchrosqueezing, reassignment, Wigner-Ville, time-frequency marginals, data-adaptive methods

Signal Processing Toolbox™ provides functions and apps that enable you to visualize and compare time-frequency content of nonstationary signals. Compute the short-time Fourier transform and its inverse. Obtain sharp spectral estimates using reassignment or Fourier synchrosqueezing. Plot cross-spectrograms, Wigner-Ville distributions, and persistence spectra. Extract and track time-frequency ridges. Estimate instantaneous frequency, instantaneous bandwidth, spectral kurtosis, and spectral entropy. Perform data-adaptive time-frequency analysis using empirical or variational mode decomposition and the Hilbert-Huang transform. Explore other time-frequency representations and analysis methods using the functions and apps provided by Wavelet Toolbox™.


Signal AnalyzerVisualize and compare multiple signals and spectra
Signal LabelerLabel signal attributes, regions, and points of interest, and extract features
Signal Multiresolution AnalyzerDecompose signals into time-aligned components
Wavelet Time-Frequency AnalyzerVisualize scalogram of signals (Since R2022a)


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fsstFourier synchrosqueezed transform
ifsstInverse Fourier synchrosqueezed transform
stftShort-time Fourier transform
istftInverse short-time Fourier transform
dlstftDeep learning short-time Fourier transform (Since R2021a)
dlistftDeep learning inverse short-time Fourier transform (Since R2024a)
stftLayerShort-time Fourier transform layer (Since R2021b)
istftLayerInverse short-time Fourier transform layer (Since R2024a)
stftmag2sigSignal reconstruction from STFT magnitude (Since R2020b)
iscolaDetermine whether window-overlap combination is COLA compliant
spectrogramSpectrogram using short-time Fourier transform
xspectrogramCross-spectrogram using short-time Fourier transforms
pspectrumAnalyze signals in the frequency and time-frequency domains
kurtogramVisualize spectral kurtosis
wvdWigner-Ville distribution and smoothed pseudo Wigner-Ville distribution
xwvdCross Wigner-Ville distribution and cross smoothed pseudo Wigner-Ville distribution
instbwEstimate instantaneous bandwidth (Since R2021a)
instfreqEstimate instantaneous frequency
spectralCrestSpectral crest for signals and spectrograms
spectralEntropySpectral entropy for signals and spectrograms
spectralFlatnessSpectral flatness for signals and spectrograms
spectralKurtosisSpectral kurtosis for signals and spectrograms
spectralSkewnessSpectral skewness for signals and spectrograms
tfridgeTime-frequency ridges
emdEmpirical mode decomposition
ewtEmpirical wavelet transform (Since R2020b)
vmdVariational mode decomposition (Since R2020a)
hhtHilbert-Huang transform
cqtConstant-Q nonstationary Gabor transform
cwtContinuous 1-D wavelet transform
modwptMaximal overlap discrete wavelet packet transform
modwtMaximal overlap discrete wavelet transform
tqwtTunable Q-factor wavelet transform (Since R2021b)
waveletScatteringWavelet time scattering
wcoherenceWavelet coherence and cross-spectrum
wsstWavelet synchrosqueezed transform


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