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WaveletMatrixPlot[dwd]

绘制 DiscreteWaveletData dwd 中的小波矩阵系数的基树.

WaveletMatrixPlot[dwd,r]

绘制高达精细度 r 的系数.

WaveletMatrixPlot[dwd,r,func]

绘制前，应用 func 于系数.

更多信息和选项
Details and Options Details and Options
范例  
基本范例  
范围  
数据  
演示  
推广和延伸  
选项  
AspectRatio  
Axes  
ColorFunction  
Show More Show More
Frame  
FrameTicks  
GridLines  
GridLinesStyle  
ImageSize  
Method  
PlotLayout  
PlotLegends  
PlotTheme  
Ticks  
TicksStyle  
属性和关系  
可能存在的问题  
参见
相关指南
历史
按以下格式引用：

WaveletMatrixPlot

WaveletMatrixPlot[dwd]

绘制 DiscreteWaveletData dwd 中的小波矩阵系数的基树.

WaveletMatrixPlot[dwd,r]

绘制高达精细度 r 的系数.

WaveletMatrixPlot[dwd,r,func]

绘制前，应用 func 于系数.

更多信息和选项

范例

打开所有单元 关闭所有单元

基本范例  (2)

在金字塔布局中绘制小波矩阵系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2];
Wolfram Language code: WaveletMatrixPlot[dwd]

在网格中绘制小波矩阵系数：

Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Grid"]

绘制不同精细度的小波包系数的全树：

Wolfram Language code: dwd = DiscreteWaveletPacketTransform[CrossMatrix[5]];
Wolfram Language code: Table[WaveletMatrixPlot[dwd, r, PlotLabel -> r], {r, 3}]

范围  (11)

数据  (6)

矩阵数据的 DiscreteWaveletTransform：

Wolfram Language code: dwd = DiscreteWaveletTransform[(⁠| | | | | | | - | - | - | - | - | | 0 | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 0 | | 1 | 1 | 1 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | | 0 | 0 | 1 | 0 | 0 |⁠)];

在分层的网格中，绘制矩阵小波系数，其中小波索引作为工具提示：

Wolfram Language code: WaveletMatrixPlot[dwd]

绘制的系数是在逆变换中使用的 Automatic 系数：

Wolfram Language code: First /@ dwd[Automatic]

使用 WaveletMatrixPlot[dwd,r] 绘制系数高达至精细度 r：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32]];
Wolfram Language code: Table[WaveletMatrixPlot[dwd, r, PlotLabel -> r], {r, 3}]

分层的布局与小波系数的树结构相对应：

Wolfram Language code: Table[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, r][{"TreeView", Right}], {r, 3}]

矩阵数据的 DiscreteWaveletPacketTransform：

Wolfram Language code: dwd = DiscreteWaveletPacketTransform[CrossMatrix[32], Automatic, 3]

DiscreteWaveletData 对象包含每层的系数的全树：

Wolfram Language code: Table[WaveletMatrixPlot[dwd, r, PlotLabel -> r], {r, 3}]

包变换的缺省 Automatic 系数与更高的精细度相对应：

Wolfram Language code: dwd = DiscreteWaveletPacketTransform[DiskMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd]

WaveletBestBasis 计算系数的不同 Automatic 树：

Wolfram Language code: WaveletMatrixPlot[WaveletBestBasis[dwd]]

绘制前，指定一个函数 f 来应用小波系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiskMatrix[32], Automatic, 3];
Wolfram Language code: Table[WaveletMatrixPlot[dwd, Automatic, f[#]&, PlotLabel -> f], {f, {Identity, Minus, Exp}}]

"Grid" 布局用于绘制 StationaryWaveletTransform 的系数：

Wolfram Language code: swd = StationaryWaveletTransform[Table[Sin[x y / 100], {x, -50, 50}, {y, -50, 50}], SymletWavelet[2], 3]
Wolfram Language code: WaveletMatrixPlot[swd]

演示  (5)

添加标签：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiskMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, AxesLabel -> {Subscript[r, x], Subscript[r, y]}, PlotLabel -> "disk matrix"]

使用命名的颜色梯度：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, ColorFunction -> "SolarColors"]
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Grid", ColorFunction -> "SolarColors"]

包括一个边框：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True]

在所有边放置刻度来表明精细度：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True, FrameTicks -> All]

指定网格线的整个样式，分开小波系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, GridLinesStyle -> Directive[Dashed, Purple]]

推广和延伸  (3)

数据不必为方阵：

Wolfram Language code: data = Table[a ^ b, {a, 1, 3}, {b, 0, 8}];
Wolfram Language code: MatrixPlot[data, FrameTicks -> None]

在分层的网格布局中绘制矩形系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[data];
Wolfram Language code: WaveletMatrixPlot[dwd]

复数数据的 DiscreteWaveletTransform：

Wolfram Language code: dwd = DiscreteWaveletTransform[Table[Exp[I x / y], {x, 10}, {y, 10}]]

绘制前，指定一个实数值来应用复数数据：

Wolfram Language code: Table[WaveletMatrixPlot[dwd, Automatic, f[#]&, PlotLabel -> f], {f, {Abs, Arg, Im}}]

默认情况下，是用 Re：

Wolfram Language code: {WaveletMatrixPlot[dwd], WaveletMatrixPlot[dwd, Automatic, Re[#]&]}

使用具有最小样式的主题：

Wolfram Language code: dwd = DiscreteWaveletTransform[Table[Exp[I x / y], {x, 10}, {y, 10}]]
Wolfram Language code: WaveletMatrixPlot[dwd, PlotTheme -> "Minimal"]

选项  (30)

AspectRatio  (1)

指定 AspectRatio 调整绘图的高宽比：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: {WaveletMatrixPlot[dwd, AspectRatio -> (1/2)], WaveletMatrixPlot[dwd, AspectRatio -> 1]}

Axes  (1)

不绘制坐标轴：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, Axes -> False]
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Grid", Axes -> False]

ColorFunction  (1)

指定一个函数来决定系数的颜色：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, ColorFunction -> Hue]
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Grid", ColorFunction -> Hue]

使用已命名的颜色函数：

Wolfram Language code: WaveletMatrixPlot[dwd, ColorFunction -> "Rainbow"]

Frame  (1)

包括一个框架：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True]
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Grid", Frame -> True]

FrameTicks  (2)

不画框架刻度：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True, FrameTicks -> None]

在所有边画框架刻度指明精细度：

Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True, FrameTicks -> All]

仅在指定的边画框架刻度：

Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True, FrameTicks -> {{True, True}, {False, False}}]
Wolfram Language code: WaveletMatrixPlot[dwd, 1, PlotLayout -> "Grid", Frame -> True]

在指定的位置绘制刻度：

Wolfram Language code: dwd = DiscreteWaveletTransform[CrossMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True, FrameTicks -> {{{1, 3}, None}, {{1}, {2}}}]

在指定的位置使用指定的标签绘制刻度：

Wolfram Language code: WaveletMatrixPlot[dwd, Frame -> True, FrameTicks -> {{{{1, "J=1"}, {3, "J=3"}}, None}, {{{1, "Refinement : 1"}}, {{2, "Refinement : 2"}}}}]

GridLines  (1)

不绘制网格线分开系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, GridLines -> None]

只画水平网格线：

Wolfram Language code: WaveletMatrixPlot[dwd, GridLines -> {False, True}]

GridLinesStyle  (1)

指定分开小波系数的网格线的所有样式：

Wolfram Language code: dwd = DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd, GridLinesStyle -> Dashed]

对水平和垂直网格线分别指定样式：

Wolfram Language code: WaveletMatrixPlot[dwd, GridLinesStyle -> {Dashed, Directive[Opacity[0.3], Blue]}]

ImageSize  (7)

使用已命名尺寸，如 Tiny、Small、Medium 和 Large：

Wolfram Language code: {WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> Tiny], WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> Small]}

指定绘图的宽度：

Wolfram Language code: {WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> 150], WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], AspectRatio -> 1.5, ImageSize -> 150]}

指定绘图的高度：

Wolfram Language code: {WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> {Automatic, 150}], WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], AspectRatio -> 2, ImageSize -> {Automatic, 150}]}

允许宽度和高度达到一定的大小：

Wolfram Language code: {WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> UpTo[200]], WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], AspectRatio -> 2, ImageSize -> UpTo[200]]}

指定图形的宽度和高度，必要时用空白填充：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> {200, 300}, Background -> StandardBrown]

设置 AspectRatioFull 将填充可用空间：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], AspectRatio -> Full, ImageSize -> {200, 300}, Background -> StandardBrown]

使用允许的最大宽度和高度：

Wolfram Language code: {WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> {UpTo[150], UpTo[150]}], WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], AspectRatio -> 1.5, ImageSize -> {UpTo[150], UpTo[150]}]}

用 ImageSizeFull 填充对象中的可用空间：

Wolfram Language code: Framed[Pane[WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], ImageSize -> Full, Background -> StandardBrown], {200, 200}]]

以可用空间的比例指定图像的大小：

Wolfram Language code: Framed[Pane[WaveletMatrixPlot[DiscreteWaveletTransform[DiamondMatrix[32], Automatic, 3], AspectRatio -> Full, ImageSize -> {Scaled[0.5], Scaled[0.5]}, Background -> StandardBrown], {200, 200}]]

Method  (1)

绘制前逆变换每个系数：

Wolfram Language code: data = GaussianMatrix[ {20, 20}];
Wolfram Language code: MatrixPlot[data]

逆变换平稳小波变换的系数：

Wolfram Language code: dwd1 = StationaryWaveletTransform[data, Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd1, Method -> "InverseTransform"]

逆变换提升小波变换的系数：

Wolfram Language code: dwd2 = LiftingWaveletTransform[data, Automatic, 3];
Wolfram Language code: WaveletMatrixPlot[dwd2, Method -> "InverseTransform"]

PlotLayout  (1)

以金字塔布局显示绘图：

Wolfram Language code: dwd = DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Pyramid"]

改用网格布局：

Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Grid"]

PlotLegends  (3)

对系数值使用图例：

Wolfram Language code: dwd = DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLegends -> Automatic]

使用 BarLegend 添加整体图例标签：

Wolfram Language code: dwd = DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLegends -> BarLegend[Automatic, LegendLabel -> "coeff"]]

使用 Placed 将图例放在图形上方：

Wolfram Language code: dwd = DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLegends -> Placed[BarLegend[Automatic, LegendLabel -> "coeff"], Below]]

PlotTheme  (2)

使用单色主题：

Wolfram Language code: dwd = DiscreteWaveletTransform[Table[Exp[I x / y], {x, 10}, {y, 10}]];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotTheme -> "Monochrome"]

更改网格线的样式：

Wolfram Language code: dwd = DiscreteWaveletTransform[Table[Exp[I x / y], {x, 10}, {y, 10}]]
Wolfram Language code: WaveletMatrixPlot[dwd, PlotTheme -> "Monochrome", GridLinesStyle -> White]

Ticks  (5)

自动为每幅图标出刻度：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2]]

用 TicksNone 绘制坐标轴，但不显示刻度：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], Ticks -> None]

在特定位置放置刻度线：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], Ticks -> {{1}, {1, 2}}]

在指定位置绘制刻度线，并显示指定的标签：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], Ticks -> {{{1, a}}, {{1, a}, {2, b}}}]

只在垂直轴上绘制刻度：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], Ticks -> {False, True}]

TicksStyle  (3)

指定刻度的整体样式，包括标签：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], TicksStyle -> Directive[Red, 16]]

指定每个轴的刻度的样式：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], TicksStyle -> {Directive[Red, 14], Directive[Blue, 14]}]

通过指定位置、长度、标签和样式自定义每个刻度：

Wolfram Language code: WaveletMatrixPlot[DiscreteWaveletTransform[CrossMatrix[5], Automatic, 2], Ticks -> {{{1, a, .48, Directive[Thick, Green]}}, {{1, a, .24, Directive[Thick, Red]}, {2, b, .24, Directive[Thick, Blue]}}}]

属性和关系  (4)

WaveletMatrixPlot 在分层的网格布局中绘制矩阵小波系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[RandomReal[1, {8, 8}]];
Wolfram Language code: WaveletMatrixPlot[dwd]

dwd[…,"MatrixPlot"] 以单独的矩阵图绘制每个系数：

Wolfram Language code: dwd[Automatic, {"MatrixPlot", ImageSize -> 50}]

WaveletMatrixPlot 绘制在逆变换中使用的 Automatic 系数：

Wolfram Language code: dwd = DiscreteWaveletPacketTransform[Sin[HilbertMatrix[16]]];
Wolfram Language code: WaveletMatrixPlot[dwd]

WaveletBestBasis 选择系数的不同缺省树：

Wolfram Language code: best = WaveletBestBasis[dwd];
Wolfram Language code: WaveletMatrixPlot[best]

WaveletImagePlot 在分层的网格中显示图像小波系数：

Wolfram Language code: dwd = DiscreteWaveletTransform[[image]];
Wolfram Language code: WaveletImagePlot[dwd]

WaveletScalogram 绘制具有有颜色指明的数值幅度的向量：

Wolfram Language code: data = Table[2 - 5 t + 5 Exp[-500 (t - 0.5) ^ 2], {t, 0, 1, 0.02}];
Wolfram Language code: dwd = DiscreteWaveletTransform[data, Automatic, 3];
Wolfram Language code: WaveletScalogram[dwd]

WaveletListPlot 绘制具有普通水平或垂直坐标轴的向量系数：

Wolfram Language code: Table[WaveletListPlot[dwd, PlotLayout -> p, PlotLabel -> PlotLayout -> p], {p, {"CommonXAxis", "CommonYAxis"}}]

可能存在的问题  (2)

平稳小波变换的小波系数不能使用金字塔布局绘制：

Wolfram Language code: dwd = StationaryWaveletTransform[RandomReal[1, {10, 10}]];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Pyramid"]

金字塔布局不能从逆变换的小波系数中构建：

Wolfram Language code: dwd = DiscreteWaveletTransform[RandomReal[1, {10, 10}]];
Wolfram Language code: WaveletMatrixPlot[dwd, PlotLayout -> "Pyramid", Method -> "InverseTransform"]
Wolfram Research (2010)，WaveletMatrixPlot，Wolfram 语言函数，https://reference.wolfram.com/language/ref/WaveletMatrixPlot.html （更新于 2014 年）.

文本

Wolfram Research (2010)，WaveletMatrixPlot，Wolfram 语言函数，https://reference.wolfram.com/language/ref/WaveletMatrixPlot.html （更新于 2014 年）.

CMS

Wolfram 语言. 2010. "WaveletMatrixPlot." Wolfram 语言与系统参考资料中心. Wolfram Research. 最新版本 2014. https://reference.wolfram.com/language/ref/WaveletMatrixPlot.html.

APA

Wolfram 语言. (2010). WaveletMatrixPlot. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/WaveletMatrixPlot.html 年

BibTeX

@misc{reference.wolfram_2026_waveletmatrixplot, author="Wolfram Research", title="{WaveletMatrixPlot}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/WaveletMatrixPlot.html}", note=[Accessed: 16-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_waveletmatrixplot, organization={Wolfram Research}, title={WaveletMatrixPlot}, year={2014}, url={https://reference.wolfram.com/language/ref/WaveletMatrixPlot.html}, note=[Accessed: 16-June-2026]}