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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 (depuis R2019a)
Signal Multiresolution AnalyzerDecompose signals into time-aligned components
Wavelet Time-Frequency AnalyzerVisualize scalogram of signals (depuis R2022a)


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fsstFourier synchrosqueezed transform
ifsstInverse Fourier synchrosqueezed transform
instbwEstimate instantaneous bandwidth (depuis R2021a)
instfreqEstimate instantaneous frequency
kurtogramVisualize spectral kurtosis
pkurtosisSpectral kurtosis from signal or spectrogram
pentropySpectral entropy of signal
pspectrumAnalyze signals in the frequency and time-frequency domains
spectrogramSpectrogram using short-time Fourier transform
xspectrogramCross-spectrogram using short-time Fourier transforms
stftShort-time Fourier transform (depuis R2019a)
dlstftDeep learning short-time Fourier transform (depuis R2021a)
stftLayerShort-time Fourier transform layer (depuis R2021b)
stftmag2sigSignal reconstruction from STFT magnitude (depuis R2020b)
iscolaDetermine whether window-overlap combination is COLA compliant (depuis R2019a)
istftInverse short-time Fourier transform (depuis R2019a)
tfridgeTime-frequency ridges
wvdWigner-Ville distribution and smoothed pseudo Wigner-Ville distribution
xwvdCross Wigner-Ville distribution and cross smoothed pseudo Wigner-Ville distribution
emdEmpirical mode decomposition
ewtEmpirical wavelet transform (depuis R2020b)
vmdVariational mode decomposition (depuis 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 (depuis R2021b)
waveletScatteringWavelet time scattering
wcoherenceWavelet coherence and cross-spectrum
wsstWavelet synchrosqueezed transform


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