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Spectrogram—Wolfram Language Documentation

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• See Also
  • ShortTimeFourier
  • InverseSpectrogram
  • SpectrogramArray
  • Fourier
  • Periodogram
  • Cepstrogram
  • AudioSpectralTransformation
  • Net Encoders
  • AudioSpectrogram
• Related Guides
  • Fourier Analysis
  • Signal Processing
  • Speech Computation
  • Signal Visualization & Analysis
  • Audio Analysis
  • Sound and Sonification
  • Summation Transforms
  • Audio Representation
  • Audio Processing
  • Video Analysis
  • Video Computation: Update History

Spectrogram[list,n,d,wfun]

applies a smoothing window wfun to each partition.

Spectrogram[list,n,d,wfun,m]

pads partitions with zeros to length m prior to the computation of the transform.

Spectrogram[video]

plots the spectrogram of the first audio track in video.

• Spectrogram is also known as time-frequency plot.
• A spectrogram is a common visualization technique that shows how the frequency content of a signal changes over time.
• Spectrogram plots the magnitude of the short-time Fourier transform (STFT), computed as a discrete Fourier transform (DFT) of partitions of data.
• Compute the short-time Fourier transform of list using ShortTimeFourier.
• Spectrogram[list] uses partitions of length and offset , where m is Length[list].
• The partition length n and offset d can be expressed as an integer number (interpreted as number of samples) or as time or sample quantities.
• If necessary, fixed padding is used on the right to make all the partitions the same size.
• Spectrogram displays only the first half of the magnitude of the discrete Fourier transform due to the symmetry property of the transform.
• In Spectrogram[list,n,d,wfun], the smoothing window wfun can be specified using a window function that will be sampled between and or a list of length n. The default window is DirichletWindow, which effectively does no smoothing.
• Spectrogram works with numeric lists as well as Audio and Sound objects.
• For multichannel sound objects, the spectrogram is computed over the sum of all channels.
• Spectrogram accepts all ArrayPlot options with the following additions and changes: [List of all options]
• Possible settings for Method include:
• Automatic automatic choice of binning "LinearFrequency" no binning "MelFrequency" binning according to the mel scale
• Use Method->{"MelFrequency",n,f_min,f_max} to specify the number of bins n as well as the minimum and maximum frequencies.
• Specific settings for PlotRange can be used to control the maximum frequency:
• "Music" {0,10000} common frequency range for music "Speech" {0,5000} common frequency range for speech
• For the setting SampleRate->r and a list of length m, time is ranged from to , and the frequencies are in the range to .

Spectrogram of a chirp signal:

Spectrogram of an audio signal:

Use a specific window size and offset:

By default, a suitable window size and offset is chosen:

Use smaller window size to reduce the frequency resolution:

Use larger window size to improve the frequency resolution:

Specify the smoothing window function:

No smoothing:

Spectrogram of the audio track of a video:

Use a built-in color gradient as the color function:

Use an arbitrary color function:

By default, frequency is shown using linear scaling:

Use mel frequency scaling:

PlotRange->Automatic automatically computes the frequency range to display:

This is equivalent to PlotRange->{All,Automatic,All}:

Show the full spectrogram:

Zoom into a specific part of the spectrogram:

Use PlotRange->{min,max} to control the frequency range of the spectrogram:

Specify range of frequencies:

Specify maximum frequency:

Specify the sampling rate of the data:

Spectrogram of a sound signal:

Spectrogram of an impulsive sound:

Spectrogram of an image:

Sound and spectrogram of dual-tone for Wolfram Research customer service number:

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