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Wolfram Language & System Documentation Center
SpectrogramArray
  • See Also
    • Spectrogram
    • ShortTimeFourier
    • ShortTimeFourierData
    • Fourier
    • Partition
    • PeriodogramArray
    • CepstrogramArray
    • AudioSpectralMap
    • AudioSpectralTransformation

    • Net Encoders
    • AudioSpectrogram
    • AudioMelSpectrogram
  • Related Guides
    • Fourier Analysis
    • Audio Analysis
    • Signal Visualization & Analysis
    • Audio Representation
    • See Also
      • Spectrogram
      • ShortTimeFourier
      • ShortTimeFourierData
      • Fourier
      • Partition
      • PeriodogramArray
      • CepstrogramArray
      • AudioSpectralMap
      • AudioSpectralTransformation

      • Net Encoders
      • AudioSpectrogram
      • AudioMelSpectrogram
    • Related Guides
      • Fourier Analysis
      • Audio Analysis
      • Signal Visualization & Analysis
      • Audio Representation

SpectrogramArray[list]

returns the spectrogram data of list.

SpectrogramArray[list,n]

uses partitions of length n.

SpectrogramArray[list,n,d]

uses partitions with offset d.

SpectrogramArray[list,n,d,wfun]

applies a smoothing window wfun to each partition.

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

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

SpectrogramArray[audio,…]

returns spectrogram data of audio.

SpectrogramArray[video]

returns the spectrogram data of the first audio track in video.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Applications  
Properties & Relations  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • Spectrogram
    • ShortTimeFourier
    • ShortTimeFourierData
    • Fourier
    • Partition
    • PeriodogramArray
    • CepstrogramArray
    • AudioSpectralMap
    • AudioSpectralTransformation

    • Net Encoders
    • AudioSpectrogram
    • AudioMelSpectrogram
  • Related Guides
    • Fourier Analysis
    • Audio Analysis
    • Signal Visualization & Analysis
    • Audio Representation
    • See Also
      • Spectrogram
      • ShortTimeFourier
      • ShortTimeFourierData
      • Fourier
      • Partition
      • PeriodogramArray
      • CepstrogramArray
      • AudioSpectralMap
      • AudioSpectralTransformation

      • Net Encoders
      • AudioSpectrogram
      • AudioMelSpectrogram
    • Related Guides
      • Fourier Analysis
      • Audio Analysis
      • Signal Visualization & Analysis
      • Audio Representation

SpectrogramArray

SpectrogramArray[list]

returns the spectrogram data of list.

SpectrogramArray[list,n]

uses partitions of length n.

SpectrogramArray[list,n,d]

uses partitions with offset d.

SpectrogramArray[list,n,d,wfun]

applies a smoothing window wfun to each partition.

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

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

SpectrogramArray[audio,…]

returns spectrogram data of audio.

SpectrogramArray[video]

returns the spectrogram data of the first audio track in video.

Details and Options

  • SpectrogramArray[list] returns the discrete Fourier transform (DFT) of partitions of list, also known as short-time Fourier transform (STFT).
  • Plot the spectrogram using Spectrogram.
  • SpectrogramArray[list] uses partitions of length and offset , where 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.
  • In SpectrogramArray[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.
  • SpectrogramArray 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.
  • SpectrogramArray accepts the FourierParameters option. The default setting is FourierParameters->{1,-1}.

Examples

open all close all

Basic Examples  (2)

Short-time Fourier transform of a sine wave:

Short-time Fourier transform of an audio signal:

Plot the result:

Scope  (2)

Magnitude spectrum of a single partition:

Plot of the magnitude of the SpectrogramArray data:

Apply a smoothing window function:

Short-time Fourier transform of the audio track of a video:

Plot the result:

Applications  (2)

Short-time energy of an audio object:

Identify the numbers pressed on a phone keypad from a spectrogram:

Create a sound with digits seven and three:

Magnitude of the spectrogram array of the sound:

Find the peaks and calculate the frequencies:

Properties & Relations  (2)

Fourier of partitions of lists is equivalent to SpectrogramArray:

Compute the inverse of spectrogram of non-overlapping partitions:

See Also

Spectrogram  ShortTimeFourier  ShortTimeFourierData  Fourier  Partition  PeriodogramArray  CepstrogramArray  AudioSpectralMap  AudioSpectralTransformation

Net Encoders: AudioSpectrogram  AudioMelSpectrogram

Related Guides

    ▪
  • Fourier Analysis
  • ▪
  • Audio Analysis
  • ▪
  • Signal Visualization & Analysis
  • ▪
  • Audio Representation

History

Introduced in 2012 (9.0) | Updated in 2014 (10.0) ▪ 2016 (11.0) ▪ 2017 (11.2) ▪ 2024 (14.1)

Wolfram Research (2012), SpectrogramArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SpectrogramArray.html (updated 2024).

Text

Wolfram Research (2012), SpectrogramArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SpectrogramArray.html (updated 2024).

CMS

Wolfram Language. 2012. "SpectrogramArray." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2024. https://reference.wolfram.com/language/ref/SpectrogramArray.html.

APA

Wolfram Language. (2012). SpectrogramArray. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SpectrogramArray.html

BibTeX

@misc{reference.wolfram_2025_spectrogramarray, author="Wolfram Research", title="{SpectrogramArray}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/SpectrogramArray.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_spectrogramarray, organization={Wolfram Research}, title={SpectrogramArray}, year={2024}, url={https://reference.wolfram.com/language/ref/SpectrogramArray.html}, note=[Accessed: 01-December-2025]}

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