WaveletListPlot

WaveletListPlot[dwd]

plots wavelet transform coefficients in the DiscreteWaveletData dwd.

WaveletListPlot[dwd,wind]

plots wavelet transform coefficients corresponding to the wavelet index specification wind.

WaveletListPlot[dwd,wind,func]

applies func to coefficients before plotting.

WaveletListPlot[{dwd1,dwd2,},]

plots wavelet transform coefficients from several DiscreteWaveletData objects dwd1, dwd2, .

Details and Options

  • WaveletListPlot works for DiscreteWaveletData coming from 1D array data.
  • The wavelet index specification wind is the same as used by DiscreteWaveletData.
  • WaveletListPlot[dwd] is equivalent to WaveletListPlot[dwd,Automatic].
  • WaveletListPlot has the same options as ListPlot, with the following additions and changes:
  • AspectRatioAutomaticratio of height to width
    JoinedTruewhether to join points
    MethodAutomaticwhat method to use
    PlotLayout"CommonXAxis"what layout to use for the plot
    PlotRangeAllrange of values to include
  • Possible settings for PlotLayout include: "CommonXAxis" and "CommonYAxis".
  • With the setting "CommonXAxis", coefficients are plotted against a common horizontal axis where the independent axes are separately scaled to occupy the same amount of vertical space.
  • With the setting "CommonYAxis", coefficients are plotted using a common vertical axis where the independent axes are separately scaled to occupy the same amount of horizontal space.
  • Ticks and FrameTicks have the following settings with special interpretations in the direction perpendicular to the common axis:
  • Automaticrefinement level
    Fullfull wavelet index
  • With the setting Method->"InverseTransform", the inverse transform of each coefficient array will be plotted.
  • WaveletListPlot returns a Graphics object.

Examples

open allclose all

Basic Examples  (1)

Compute a discrete wavelet transform:

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Plot the different wavelet transform coefficients:

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Plot against a common vertical axis:

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Scope  (16)

Generalizations & Extensions  (1)

Options  (17)

Applications  (4)

Properties & Relations  (5)

Neat Examples  (1)

See Also

ListPlot  DiscreteWaveletData  WaveletMatrixPlot  DiscreteWaveletTransform  LiftingWaveletTransform  StationaryWaveletTransform  DiscreteWaveletPacketTransform  StationaryWaveletPacketTransform

Introduced in 2010
(8.0)
| Updated in 2014
(10.0)