Figure is Boggiatto et al. 2010 picture which I would like to reproduce in LaTeX but I cannot do plot
- a circle
- a square
- an intesection of square and circle
- put density to the square
TeXLive: 2016
asked Nov 23, 2016 at 19:25
2 Answers
I changed it little bit, like the background with color instead of dotted, but the exact same illustration can be done in Tikz. My illustration is below.
Tikz
\documentclass{article}
\usepackage{graphicx}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw [thick] (2,2) circle (3cm);
\draw (-2,-2) rectangle (6,6);
\draw (0,5.5) node{Cohen class: $\sigma * Wig$};
\draw [opacity=0.4,fill=black!15,rounded corners=2ex] (-1.9,-1.9) rectangle (5.9,2);
\draw (1,-1.6) node{Generalised spectograms: $Sp_{\phi,\psi}$};
\draw (2,2.5) node[circle,fill,inner sep=1pt,label=below:{$Q=\int_{[0,1]}Wig_{\tau} d\tau$}]{};
\draw (2,-1) node[circle,fill,inner sep=1pt,label=right:{$Sp_{\phi}$(classical spectogram)}]{};
\draw (2,5) node[circle,fill,inner sep=1pt,label=right:{$Wig_{1/2}=Wig$ (Wigner)}]{};
\draw (-0.6,3.5) node[circle,fill,inner sep=1pt,label=left:{$Wig_{\tau}$ ($\tau$-Wigner)}]{};
\draw (5,2) node[circle,fill,inner sep=1pt,label=above right:{$Wig_1=Sp_{1,\delta}=R^*$}]{};
\draw (5,1.5) node[circle,fill,inner sep=0pt,label=above right:{(conjugate-Rihaczek)}]{};
\draw (-1,2) node[circle,fill,inner sep=1pt,label=above left:{$Wig_0=Sp_{\delta,1}=R$}]{};
\draw (-1,1.5) node[circle,fill,inner sep=0pt,label=above left:{(Rihaczek)}]{};
\end{tikzpicture}
\end{document}
Related
- I cannot understand why the linebreaking does not work with
\\in the Tikz-draw labels: How to introduce a line break in a TikZ node label? It should by this,\draw (5,2) node[circle,fill,inner sep=1pt,label=above right:{$Wig_1=Sp_{1,\delta}=R^*$\\(conjugate-Rihaczek)}]{};, why the linebreaking not working?
For custom background such as dots or fivepointed stars
Use the \usetikzlibrary{patterns} package for the custom background such as stars or dots like the below, other directives here.
\documentclass{article}
\usepackage{graphicx}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\draw [thick] (2,2) circle (3cm);
\draw (-2,-2) rectangle (6,6);
\draw (0,5.5) node{Cohen class: $\sigma * Wig$};
\draw [opacity=0.4,fill=black!15,pattern=dots,rounded corners=2ex] (-1.9,-1.9) rectangle (5.9,2);
\draw (1,-1.6) node{Generalised spectograms: $Sp_{\phi,\psi}$};
\draw (2,2.5) node[circle,fill,inner sep=1pt,label=below:{$Q=\int_{[0,1]}Wig_{\tau} d\tau$}]{};
\draw (2,-1) node[circle,fill,inner sep=1pt,label=right:{$Sp_{\phi}$(classical spectogram)}]{};
\draw (2,5) node[circle,fill,inner sep=1pt,label=right:{$Wig_{1/2}=Wig$ (Wigner)}]{};
\draw (-0.6,3.5) node[circle,fill,inner sep=1pt,label=left:{$Wig_{\tau}$ ($\tau$-Wigner)}]{};
\draw (5,2) node[circle,fill,inner sep=1pt,label=above right:{$Wig_1=Sp_{1,\delta}=R^*$}]{};
\draw (5,1.5) node[circle,fill,inner sep=0pt,label=above right:{(conjugate-Rihaczek)}]{};
\draw (-1,2) node[circle,fill,inner sep=1pt,label=above left:{$Wig_0=Sp_{\delta,1}=R$}]{};
\draw (-1,1.5) node[circle,fill,inner sep=0pt,label=above left:{(Rihaczek)}]{};
\end{tikzpicture}
\end{document}
and here more like the original
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\draw [thick] (2,2) circle (3cm);
\draw (-2,-2) rectangle (6,6);
\draw (0,5.5) node{Cohen class: $\sigma * Wig$};
\draw [opacity=0.4,fill=black!15,pattern=dots] (-1.9,-1.9) rectangle (5.9,2);
\draw (1,-1.6) node{Generalised spectograms: $Sp_{\phi,\psi}$};
\draw (2,2.5) node[circle,fill,inner sep=1pt,label=below:{$Q=\int_{[0,1]}Wig_{\tau} d\tau$}]{};
\draw (2,-1) node[circle,fill,inner sep=1pt,label=right:{$Sp_{\phi}$(classical spectogram)}]{};
\draw (2,5) node[circle,fill,inner sep=1pt,label=right:{$Wig_{1/2}=Wig$ (Wigner)}]{};
\draw (-0.6,3.5) node[circle,fill,inner sep=1pt,label=left:{$Wig_{\tau}$ ($\tau$-Wigner)}]{};
\draw (5,2) node[circle,fill,inner sep=1pt,label=above right:{$Wig_1=Sp_{1,\delta}=R^*$}]{};
\draw (5,1.5) node[circle,fill,inner sep=0pt,label=above right:{(conjugate-Rihaczek)}]{};
\draw (-1,2) node[circle,fill,inner sep=1pt,label=above left:{$Wig_0=Sp_{\delta,1}=R$}]{};
\draw (-1,1.5) node[circle,fill,inner sep=0pt,label=above left:{(Rihaczek)}]{};
\end{tikzpicture}
\end{document}
-
2@Masi see the newest update, is this what you wanted? The patterns package used for the dots.– hhhCommented Nov 24, 2016 at 0:02
Here is a pstricks solution, which requires the following code, stolen from the pstricks pages on the TUG site, which defines new fill styles:
% D.G. addition begin - Sep. 1, 2002
% To define dashed and dotted hatched styles
\ProvidesPackage{pst-hatch}%% Added B. A. Nov. 23, 2016
\RequirePackage{pstricks}%% added
\def\pshs@solid{0 setlinecap }
\def\pshs@dashed{[ \psk@dash ] 0 setdash }
\def\pshs@dotted{[ 0 \psk@dotsep CLW add ] 0 setdash 1 setlinecap }
\def\psset@hatchstyle#1{%
\@ifundefined{pshs@#1}%
{\@pstrickserr{Hatch style `#1' not defined}\@eha}%
{\edef\pshatchstyle{#1}}}
\psset@hatchstyle{solid}
\def\pst@linefill{%
% D.G. modification begin - Sep. 1, 2002
\@nameuse{pshs@\pshatchstyle}
% D.G. modification end
\psk@hatchangle rotate
\psk@hatchwidth SLW
\pst@usecolor\pshatchcolor
\psk@hatchsep
\tx@LineFill}
\pst@def{LineFill}<{%
gsave
abs CLW add
/a ED
a 0 dtransform
round exch round exch 2 copy idtransform
exch Atan rotate idtransform
pop
/a ED
.25 .25 itransform
pathbbox
/y2 ED
a Div ceiling cvi
/x2 ED
/y1 ED
a Div cvi
/x1 ED
/y2 y2 y1 sub def
clip
newpath
% D.G. modification begin - Sep. 1, 2002
% 2 setlinecap
% D.G. modification end
systemdict
/setstrokeadjust
known { true setstrokeadjust } if
x2 x1 sub 1 add
{ x1 a mul y1 moveto
0 y2 rlineto
stroke
/x1 x1 1 add def } repeat
grestore
pop pop}>
The pstricks code for the figure:
\documentclass[border=12pt]{standalone}
\usepackage{amsmath} %
\DeclareMathOperator\Wig{\mathit{Wig}}
\DeclareMathOperator\Sp{\textit{Sp}}
\usepackage{pstricks-add, pst-hatch, auto-pst-pdf}%
\begin{document}
\small
\psset{linejoin=1, unit =3cm }
\begin{pspicture}[PointSymbol=none](-2,-2)(2,2)
\psframe(-1.65,-1.6)(1.65,1.6)
\psframe[fillstyle=vlines, hatchstyle=dotted](-1.55,-1.55)(1.55,0)
\pscircle(0,0){1}
\dotnodes(1; 0){A}(1; 90){B}(1; 135){C}(1; 180){D}(1; 270){E}(0.25; 90){F}
\uput[d](A){\begin{tabular}{c}$\Wig₁ = \Sp_{1,δ} = R^*$ \\(conjugate-Rihaczeck)\end{tabular}}
\uput[-75](D){\begin{tabular}{c}$\Wig₀ = \Sp_{δ,1} = R$ \\(Rihaczeck)\end{tabular}}
\uput[50](B){$ \Wig_{1/2} = \Wig$\quad(Wigner)}
\uput[-70](C){$ Wig_τ\quad\tau$-Wigner}
\uput[65](E){$\Sp_\phi$ (classical spectrogram)}
\uput[-65](F){$Q = ∫_{[0,1]}\Wig_τ\,dτ$}
\rput [l](-1.5,-1.4){\textbf{generalised spectrogram: } $\Sp_{\phi, ψ}$}
\rput[l](-1.5,1.4){\textbf{Cohen class: } $σ*\Wig$}
\end{pspicture}
\end{document}
-
3By ‘material shape’, what do you mean exactly? The rectangle, squre, circle? or the labels? As to the second question: the code I posted cannot be applied to a tikz picture.
pstricksis an interface between LaTeX and Adobe PostScript language.– BernardCommented Nov 23, 2016 at 23:54 -
What are the benefits of your approach in comparison to hhh's one? Commented Nov 24, 2016 at 0:04
-
2In my opinion, for those not familiar with tikz, which requires learning a new graphic language, it only uses LaTeX commands, so it's like learning to use a new package. You can obtain .eps files (they are postscript files with a bounding box), which publishers often require, as well as .pdf files (enabling
-shell-escapefor the compiler). That said, the possibilities are similar.– BernardCommented Nov 24, 2016 at 0:13
\draw [thick] (2,2) circle (3cm);to produce the circle...