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SpectrogramArray—Wolfram Language Documentation

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• 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,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[video]

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

• 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}.

Short-time Fourier transform of a sine wave:

Short-time Fourier transform of an audio signal:

Plot the result:

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:

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:

Fourier of partitions of lists is equivalent to SpectrogramArray:

Compute the inverse of spectrogram of non-overlapping partitions:

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