MATLAB Data Plotting Techniques for Multiple Functions
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COMPUTER APPLICATIONS: MATLAB
Dr. Mayas Aljibawi
AL-Mustaqbal
University College
1
Lecture Number 2
Multi Data Plotting and
3D Plotting
2
Multiple Data Sets Plotting
■
Ex/ Write a program to plot a three function of x (in one plot) , where y1= 2 cos(x) ,
y2 = cos(x) , and y3 = 0.5 cos(x) in the interval of 0≤ x ≤ 2π in step of π / 100,
then add labels and titles to the plot.
x=0:pi/100:2*pi;
y1=cos(2*x);
y2=cos(x);
y3=cos(0.5*x);
plot(
x,y1,'d
'
,
x,y2,'s'
,
x,y3,'o'
)
xlabel('x=0:2pi')ylabel('cos(2x),cos(x),cos(0.5x)')title('three function of cos(x)')legend({'cos(2x)','cos(x)','cos(0.5x)'},'fontsize',16)3
Multiple Data Sets in Multiple Plots
It is also possible to produce a few subplots in on figure window. With the
command subplot, the window can be horizontally and vertically divided
into p×r subfigures, which are counted from 1 to r, row-wise, starting from
the top left. The commands: plot, title, grid etc. work only in the current
subfigure.
4
Example:
Write a program to Plot a three function of x (in a separate plot) , where y1= sin(3x) ,
y2 = cos (5x ) ,y3 = sin (3x ) * cos (5x) in the interval of x from 1 to 4 in step of 0.1
then add titles to the plot.
x = 1:0.1:4;
y1= sin(3*x);
y2= cos(5*x);
y3= sin (3*x).*cos(5*x);
subplot(1,3,1); plot(x,y1,'m-');title ('sin(3*x)’),subplot(1,3,2);plot(x,y2,'g');title('cos(5*x)’),subplot(1,3,3);plot(x,y3,'k-'); title('sin(3*x)*cos(5*x)')5
6
x = 1:.1:4;
y1= sin(3*x);
y2= cos(5*x);
y3= sin (3*x).*cos(5*x);
subplot(3,1,1)
plot(x,y1,'m-');
title ('sin(3*x)')subplot(3,1,2)
plot(x,y2,'g')
title('cos(5*x)')hold
subplot(3,1,3)
plot(x,y3,'k-')
title('sin(3*x)*cos(5*x)')subplot(2,2,1)
x=0:0.101:10; y1 = sin(x);
plot(x,y1)
title('Subplot 1: sin(x)')subplot(2,2,2)
y2 = sin(2*x);
plot(x,y2)
title('Subplot 2: sin(2x)')subplot(2,2,3)
y3 = sin(4*x);
plot(x,y3)
title('Subplot 3: sin(4x)')subplot(2,2,4)
y4 = sin(8*x);
plot(x,y4)
title('Subplot 4: sin(8x)')7
3D – Graphics Basic Plots
■
A MATLAB surface is defined by the z coordinates associated with a set of (x,y)
coordinates . for example , suppose we have the set of (x, y) coordinates:
8
Z represent the distance of each (x,y) point from the origin (0,0) . to calculate z in
MATLAB for the x and y matrices given above, we begin by using the mesh grid
function, which generates the required , x and y matrices.
[x,y] = meshgrid (1:4) //
the step is 1 by default
Example
Write a program to draw a 3-D plot of sine function for x,y in the interval
from -8 to 8 in step of 0.5.
[x,y] = meshgrid (-8:.5:8);
R= sqrt (x.^2 + y.^2 ) ;
z = sin (R);
mesh (x , y , z )
9
Example
Plot the function in the interval from -2 to 2 with
step of 0.1.
[x,y] = meshgrid(–2:0.1:2);
z = y.*exp(–x.^2–y.^2);
mesh(x,y,z),xlabel('x'),ylabel('y'),zlabel('z’)10
End
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Explore advanced MATLAB techniques for plotting multiple functions in a single plot and across multiple subplots. Learn how to create visually appealing plots using functions like plot, subplot, title, and legend. Enhance your data visualization skills through hands-on examples and practical applications of MATLAB's plotting capabilities.
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Presentation Transcript
AL-Mustaqbal University College COMPUTER APPLICATIONS: MATLAB Dr. Mayas Aljibawi 1
Lecture Number 2 Lecture Number 2 Multi Data Plotting and Multi Data Plotting and 3D Plotting 3D Plotting 2
Multiple Data Sets Plotting Ex/ Write a program to plot a three function of x (in one plot) , where y1= 2 cos(x) , y2 = cos(x) , and y3 = 0.5 cos(x) in the interval of 0 x 2 in step of / 100, then add labels and titles to the plot. x=0:pi/100:2*pi; y1=cos(2*x); y2=cos(x); y3=cos(0.5*x); plot(x,y1,'d',x,y2,'s',x,y3,'o') xlabel('x=0:2pi') ylabel('cos(2x),cos(x),cos(0.5x)') title('three function of cos(x)') legend({'cos(2x)','cos(x)','cos(0.5x)'},'fontsize',16) 3
Multiple Data Sets in Multiple Plots It is also possible to produce a few subplots in on figure window. With the command subplot, the window can be horizontally and vertically divided into p r subfigures, which are counted from 1 to r, row-wise, starting from the top left. The commands: plot, title, grid etc. work only in the current subfigure. 4
Example: Write a program to Plot a three function of x (in a separate plot) , where y1= sin(3x) , y2 = cos (5x ) ,y3 = sin (3x ) * cos (5x) in the interval of x from 1 to 4 in step of 0.1 then add titles to the plot. x = 1:0.1:4; y1= sin(3*x); y2= cos(5*x); y3= sin (3*x).*cos(5*x); subplot(1,3,1); plot(x,y1,'m-');title ('sin(3*x) ), subplot(1,3,2);plot(x,y2,'g');title('cos(5*x) ), subplot(1,3,3);plot(x,y3,'k-'); title('sin(3*x)*cos(5*x)') 5
x = 1:.1:4; y1= sin(3*x); y2= cos(5*x); y3= sin (3*x).*cos(5*x); subplot(3,1,1) plot(x,y1,'m-'); title ('sin(3*x)') subplot(3,1,2) plot(x,y2,'g') title('cos(5*x)') hold subplot(3,1,3) plot(x,y3,'k-') title('sin(3*x)*cos(5*x)') 6
subplot(2,2,1) x=0:0.101:10; y1 = sin(x); plot(x,y1) title('Subplot 1: sin(x)') subplot(2,2,2) y2 = sin(2*x); plot(x,y2) title('Subplot 2: sin(2x)') subplot(2,2,3) y3 = sin(4*x); plot(x,y3) title('Subplot 3: sin(4x)') subplot(2,2,4) y4 = sin(8*x); plot(x,y4) title('Subplot 4: sin(8x)') 7
3D Graphics Basic Plots A MATLAB surface is defined by the z coordinates associated with a set of (x,y) coordinates . for example , suppose we have the set of (x, y) coordinates: 8
Z represent the distance of each (x,y) point from the origin (0,0) . to calculate z in MATLAB for the x and y matrices given above, we begin by using the mesh grid function, which generates the required , x and y matrices. [x,y] = meshgrid (1:4) // the Example Example Write a program to draw a 3-D plot of sine function for x,y in the interval from -8 to 8 in step of 0.5. the step step is is 1 1 by by default default [x,y] = meshgrid (-8:.5:8); R= sqrt (x.^2 + y.^2 ) ; z = sin (R); mesh (x , y , z ) 9
Example Plot the function in the interval from -2 to 2 with step of 0.1. [x,y] = meshgrid( 2:0.1:2); z = y.*exp( x.^2 y.^2); mesh(x,y,z),xlabel('x'),ylabel('y'),zlabel('z ) 10
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