Wolfram Language & System 11.0 (2016)|Legacy Documentation

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plots the squared magnitude of the discrete Fourier transform (power spectrum) of list.

plots the mean of power spectra of non-overlapping partitions of length n.

uses partitions with offset d.

applies a smoothing window wfun to each partition.

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

plots power spectra of several lists.

plots the power spectrum of audio.

plots the power spectra of all audioi.

Details and OptionsDetails and Options

  • In Periodogram[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.
  • Periodogram[list,n] is equivalent to Periodogram[list,n,n,DirichletWindow,n].
  • Periodogram works with numeric lists as well as Audio and Sound objects.
  • For a multichannel sound object, Periodogram plots power spectra of all channels.
  • For real input data, Periodogram displays only the first half of the power spectrum due to the symmetry property of the Fourier transform.
  • Compute the effective power spectrum using PeriodogramArray.
  • Periodogram takes the following options:
  • FourierParameters{0,1}Fourier parameters
    SampleRateAutomaticthe sample rate
    ScalingFunctions{"Linear","dB"}the scaling function
  • With the setting SampleRate->r, signal frequencies are shown in the range from 0 to r/2.
  • Possible settings for ScalingFunctions include:
  • Automaticautomatic scaling
    Nonelinear scaling for axis and absolute scaling for axis
    sy axis scaling
    {sx} axis scaling
    {sx,sy}different scaling functions for the and directions
  • Possible magnitude scalings sy include:
  • "Absolute"absolute scaling
    "dB" decibel scaling (default)
    {f,f-1}arbitrary scaling using the function f and its inverse
  • Possible frequency scalings sx include:
  • "Linear"linear scaling (default)
    "Log10" scaling
    {f,f-1}arbitrary scaling using the function f and its inverse
  • The scaling function can be "dB" or "Absolute", which correspond to the decibel and absolute power values, respectively.
  • Periodogram also accepts all options of ListLinePlot.
Introduced in 2012
| Updated in 2016