plots wavelet transform coefficients in the DiscreteWaveletData dwd.


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


applies func to coefficients before plotting.


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

Details and Options


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Basic Examples  (1)

Compute a discrete wavelet transform:

Plot the different wavelet transform coefficients:

Plot against a common vertical axis:

Scope  (16)

Data  (6)

Plot wavelet coefficients used by default in the inverse wavelet transform:

Specify which coefficients to plot:

Discrete wavelet transform coefficients are spaced so as to lie on the same horizontal axis:

Stationary wavelet transform coefficients are all the same length:

In the "CommonXAxis" layout, each coefficient is separately rescaled:

In the "CommonYAxis" layout, all coefficients are plotted on a common vertical scale:

Plot multiple DiscreteWaveletData objects together:

Using Filling to highlight the differences:

Apply a function to data before plotting:

Presentation  (10)

Lay out coefficients vertically or horizontally with a specified common axis:

Label coefficients by their refinement level using the full wavelet index as a tooltip:

Label coefficients by their full wavelet index:

Curves are automatically styled to appear distinct:

With multiple DiscreteWaveletData objects, each object is colored distinctly:

With a single DiscreteWaveletData object, each coefficient is colored distinctly:

Specify an overall style applying to every coefficient:

Provide explicit styling to each coefficient:

Add labels:

Draw a frame around the plot:

Fill plots of each coefficient:

Specify filling style:

Plot DiscreteWaveletPacketTransform coefficients:

Use plot theme:

Generalizations & Extensions  (1)

Plot wavelet coefficients from complex-valued data:

Specify a real-valued function to apply to complex data before plotting:

By default, Re is applied:

Options  (17)

The AxesOrigin option has special settings depending on the setting for PlotLayout:

With "CommonXAxis", AxesOrigin->{,n} aligns the horizontal axis with the n^(th) plot:

With "CommonYAxis", AxesOrigin->{n,} places the vertical axis after the n^(th) plot:

DataRange  (1)

Plot coefficients assuming the original data occupies the actual coordinate range {0,1}:

Filling  (1)

Fill plots to the axis:

Plot against common vertical axis with filling:

Frame  (1)

Plot coefficients with a frame:

FrameTicks  (1)

By default, coefficients are labeled with their refinement level:

Label with the full wavelet index:

Plot coefficients against a common vertical axis, labeling with the full wavelet index:

GridLines  (1)

Specify automatically placed grid lines:

Joined  (1)

Plot points are joined by default:

Plot without joining:

Method  (5)

Inverse transform each coefficient before plotting:

Control style of interior axes:

Draw no interior axes:

Choose which channel to plot in multichannel sound data:

Include original data (wavelet index {}) in plot:

PlotLayout  (1)

Plot coefficients over a common horizontal axis (default):

Plot against a common vertical axis:

PlotRange  (1)

Specify manual plot range:

PlotStyle  (1)

Specify an overall style for each wavelet coefficient:

Specify a single style for the whole plot:

PlotTheme  (1)

Use a theme with grid lines in a bright color scheme:

Add a feature theme with frame and full grid lines:

Change the color scheme:

Ticks  (1)

By default, coefficients are labeled with their refinement level:

Label with the full wavelet index on vertical axis:

Plot coefficients against a common vertical axis, labeling with the full wavelet index:

Applications  (4)

Feature Detection  (4)

Use PlotLayout->"CommonXAxis" to identify structure, such as edges in coefficients:

Detail coefficients {,1} are sensitive to edges:

Use PlotLayout->"CommonYAxis" to compare scale of coefficients:

Compare scale of constant and oscillatory parts:

Identify changing relative scale of coefficients:

Constant coefficient {,0} dominates early and first detail coefficient {1} dominates later:

Compare clean data with data plus noise with a nonzero mean:

Plot multiple sets of coefficients on the same WaveletListPlot:

Highpass coefficients {,1} are nearly the same, while lowpass coefficient {,0} is different:

Properties & Relations  (5)

WaveletListPlot plots vector wavelet coefficients with a common horizontal or vertical axis:

dwd[,"ListPlot"] gives each coefficient as a separate list plot:

By default, WaveletListPlot shows the Automatic coefficients used in the inverse transform:

WaveletBestBasis selects a different default tree of coefficients:

WaveletScalogram plots vector coefficients with numerical magnitude indicated by color:

WaveletMatrixPlot plots matrix wavelet coefficients in a hierarchical grid:

WaveletImagePlot shows image wavelet coefficients in a hierarchical grid:

Neat Examples  (1)

Show stationary wavelet transform coefficients for data oscillating at different frequencies:

Wolfram Research (2010), WaveletListPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/WaveletListPlot.html (updated 2014).


Wolfram Research (2010), WaveletListPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/WaveletListPlot.html (updated 2014).


Wolfram Language. 2010. "WaveletListPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/WaveletListPlot.html.


Wolfram Language. (2010). WaveletListPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/WaveletListPlot.html


@misc{reference.wolfram_2023_waveletlistplot, author="Wolfram Research", title="{WaveletListPlot}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/WaveletListPlot.html}", note=[Accessed: 21-April-2024 ]}


@online{reference.wolfram_2023_waveletlistplot, organization={Wolfram Research}, title={WaveletListPlot}, year={2014}, url={https://reference.wolfram.com/language/ref/WaveletListPlot.html}, note=[Accessed: 21-April-2024 ]}