plotting using matlab programming

1. Program 1:
clear all;close all;clc;clf;
t=0:0.01*pi:4*pi;
x=sin(t);
y=x;
z=x;
n=length(y);
for i=1:n
if (x(i)<0)
y(i)=0;
z(i)=-1*z(i);
end
end
u=figure(1);
set(u,'color','w')
subplot 221
plot(t,x)
title('input:sinusoidal wave')
subplot 222
plot(t,y)
title('half wave rectifier')
subplot 223
plot(t,z)
title('full wave rectifier')
subplot 224
plot(t,z,'--')
hold on
line([pi/2 3*(pi/2)-0.5],[1 -1*sin(3*(pi/2)-
0.5)]);
line([3*pi/2 5*(pi/2)-0.5],[1 1*sin(5*(pi/2)-
0.5)]);
line([5*pi/2 7*(pi/2)-0.5],[1 -1*sin(7*(pi/2)-
0.5)]);
title('smoothed rectifier signal')

2. Program 2:
clc;close all;clear all;
t=0:0.1*pi:2*pi;
n=length(t);
r=0.5*ones(1,n);
r1=ones(1,n);
[x y]=pol2cart(t,r);
[x1 y1]=pol2cart(t,r1);
x2=x1+1;
e=figure(1)
set(e,'color','w');
subplot 221
plot(x,y)
title('radius=0.5m')
axis([-3 3 -3 3]);
subplot 222
plot(x1,y1)
title('radius=1m')
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1
input:sinusoidal wave
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0
0.5
1
half wave rectifier
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0.5
1
full wave rectifier
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0
0.5
1
smoothed rectifier signal

3. axis([-3 3 -3 3]);
subplot 223
plot(x2,y1)
title('radius=1m,shifted')
axis([-3 3 -3 3]);
for i=1:2:4
for j=1:2:4
x2=x+i;
y2=y+j;
subplot 224
plot(x2,y2)
text(1.7,2,'core')
title('pcf')
hold on;
end
end
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radius=0.5m
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radius=1m
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radius=1m,shifted
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core
pcf
corecorecore

4. Program 3:
clear all;close all;clc;
[x,y,z]=cylinder(5);
[x1,y1,z1]=cylinder;
figure(1)
subplot 221
surf(x1,y1,z1)
subplot 222
surf(x,y,z)
subplot 223
axis square
surf(x,y,z)
hold on
surf(x1,y1,z1)
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-5
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1

5. Program 4:
clear all;close all;clc;
t=0:0.1*pi:2*pi;
subplot 221
cylinder(cos(t))
subplot 222
cylinder(sin(t))
subplot 223
cylinder(exp(t))
subplot 224
cylinder(log(t))
colormap gray
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1

6. Program 5:
clear all;close all;clc;
t=0:0.1*pi:2*pi;
subplot 221
cylinder(cos(t))
subplot 222
cylinder(sin(t))
subplot 223
cylinder(exp(t))
subplot 224
cylinder(log(t))
colormap spring
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-2
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2
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0.5
1

7. Program 6:
clear all;close all;clc;
t=0:0.1*pi:2*pi;
subplot 321
cylinder(2+sin(t))
subplot 322
cylinder(2+cos(t))
subplot 323
cylinder(t.^4)
subplot 324
cylinder(t.^2)
subplot 325
cylinder(exp(-t)+2)
subplot 326
cylinder(t.^2)
hold on
cylinder(t)
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-50
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50
0
0.5
1

8. Program 7:
clear all;close all;clc;
syms x;
y=sin(x);
subplot 211
ezplot(y)
grid on
subplot 212
ezplot(y,[0:4*pi])
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0.5
1
x
sin(x)
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-0.5
0
0.5
1
x
sin(x)

9. Program 8:
clear all;close all;clc;
syms t;
y=sin(t);
figure(1)
subplot 221
ezsurf(y,[-pi pi])
subplot 222
ezsurf(y)
z=sin(t)*cos(3*t);
subplot 223
ezpolar(z)
subplot 224
ezpolar(z,[0 pi]);
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1
t
sin(t)
y -5
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t
sin(t)
y
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r = cos(3 t) sin(t)
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180 0
r = cos(3 t) sin(t)

10. Program 9:
clear all;close all;clc;
syms t;
y=t^3;
subplot 221
ezplot(y)
y1=diff(y);
y2=diff(y,2);
y3=diff(y,3);
subplot 222
ezplot(y1)
subplot 223
ezplot(y2)
subplot 224
ezplot(y3)
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t
t3
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t
6 t
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5.5
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6.5
7
x
6

11. Program 10:
clear all;close all;clc;
t=1:0.1:5;
y=t.^2;
dy1=diff(y)./diff(t);
td1=t(2:length(t));
figure(1)
subplot 121
plot(t,y)
grid on
title('using numerical')
subplot 122
plot(td1,dy1)
title('numerical diff')
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using numerical
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numerical diff

12. Program 11:
clear all;close all;clc;
t=1:0.1:5;
y=rand(1,length(t));
dy1=diff(y)./diff(t);
td1=t(2:length(t));
subplot 211
plot(t,y)
title('noise signal over 5 second')
subplot 212
plot(td1,dy1)
title('the rate of change of the noise w.r.t
time')
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0
0.5
1
noise signal over 5 second
1 1.5 2 2.5 3 3.5 4 4.5 5
-10
-5
0
5
10
the rate of change of the noise w.r.t time

13. :12Program
clear all;close all;clc;
x=0:0.1:10;
y=0:0.1:10;
[x1 y1]=meshgrid(x,y);
for i=1:length(x)
for j=1:length(y)
if (y1(i,j)>=0 && y1(i,j)<2)
z1(i,j)=0;
elseif (y1(i,j)>=2 && y1(i,j)<4)
z1(i,j)=2;
elseif (y1(i,j)>=4 && y1(i,j)<6)
z1(i,j)=4;
elseif (y1(i,j)>=6 && y1(i,j)<8)
z1(i,j)=6;
else
z1(i,j)=8;
end
end
end
surf(x1,y1,z1)
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14. :13Program
clear all;close all;clc;
phi=0:0.01*pi:2*pi;
n=length(phi);
r=ones(1,n);
a=figure(1);
set(a,'color','g')
subplot 121
e=polar(phi,r);
set(e,'linewidth',4)
subplot 122
[x y]=pol2cart(phi,r);
plot(x,y,'k')
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1

15. :14Program
clear all;close all;clc;
phi=0:0.01*pi:2*pi;
n=length(phi);
r=ones(1,n);
a=figure(1);
set(a,'color','g')
subplot 121
e=polar(phi,r);
set(e,'linewidth',4)
subplot 122
[x y]=pol2cart(phi,r);
plot(x,y,'k')
hold on
for i=1:length(x)/4;
if (sqrt(x(i).^2+y(i).^2)<=1)
line([ 0 x(i)],[0 y(i)])
end
end
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16. :15Program
clear all;close all;clc;
a=[50 0;0 50];
b=repmat(a,[3 3]);
e=figure(1)
set(e,'color','m')
image(b)
colormap gray
axis off

17. Program 16:
clear all;close all;clc;
t=0:0.1*pi:4*pi;
y=sin(t);
n=length(t);
noise=0.1*randn(1,n);
ynoise=y+noise;
r=figure(1);
set(r,'color','g')
subplot 221
plot(t,y,'r')
title('signal')
subplot 222
plot(t,noise,'k')
title('noise')
subplot 223
plot(t,ynoise,'color','b')
title('ynoise')
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signal
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noise
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ynoise

18. :17Program
clear all;close all;clc;
t=0:0.1*pi:4*pi;
n=length(t);
y1=2*sin(0.5*t);%first input
y2=2*cos(0.5*t);%second input
y3=cos(5*t); %carrier
ya=y1.*y3;
yb=y2.*y3;
subplot 221
plot(t,y1,'-.',t,y2,'-')
subplot 222
plot(t,y3)
title('carrier')
subplot 223
plot(t,ya)
title('carrier * sin')
subplot 224
plot(t,yb)
title('carrier *cos')
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2
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carrier
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-1
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1
2
carrier * sin
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1
2
carrier *cos

19. Program 18:
clear all;close all;clc;
t=0:0.01*pi:4*pi;
x=cos(4*pi*t)+cos(8*pi*t)+cos(12*pi*t);
fx=fft(x,512);
w=1/(0.01*pi*2)*linspace(0,1,256);
subplot 421
plot(t,x)
xlabel('time')
ylabel('amplitude')
subplot 422
plot(w,abs(fx(1:256)))
xlabel('frequency HZ')
ylabel('amplitude')
axis([0 20 0 200])
filter=ones(1,256);
filter(1,90:256)=0;
subplot 423
plot(w,filter)
xlabel('frequency HZ')
ylabel('amplitude')
axis([0 20 0 2])
subplot 424
result=abs(fx(1:256)).*filter;
plot(w,result)
xlabel('frequency HZ')
ylabel('amplitude')
axis([0 20 0 200])
subplot 413
plot(w,result)
xlabel('frequency')
ylabel('amplitude')
axis([0 16 0 200])
iresult=ifft((fx),length(t));
subplot 414

20. plot(t,iresult)
xlabel('time')
ylabel('amplitude')
axis([0 14 -2 2])
Program 19:
z=[10 4 6 9 3];
subplot 221
pie(z)
subplot 222
pie(z,[0 0 0 1 0]);
subplot 223
pie(z,[1 1 1 1 1])
subplot 224
pie3(z,[0 0 0 1 0]);
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0
2
4
time
amplitude
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0
100
200
frequency HZ
amplitude
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0
1
2
frequency HZ
amplitude
0 5 10 15 20
0
100
200
frequency HZ
amplitude
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0
100
200
frequency
amplitude
0 2 4 6 8 10 12 14
-2
0
2
time
amplitude

21. Program 20:
clear all ;close all; clc
x=-3:3;
y=x.^2;
bar(x,y)
31%
13%
19%
28%
9%
31%
13%
19%
28%
9%
31%
13%
19%
28%
9%
28%
19%
13%
9%
31%

22. Program 21:
clear all ;close all; clc
y=round(rand(2,3)*10);
subplot 221
bar(y)
subplot 222
barh(y)
subplot 223
bar(y,'stacked')
subplot 224
bar(y,1)
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9

23. Program 22:
clear all;close all;clc
t=0:0.1*pi:2*pi;
x=sin(t);
subplot 221
plot(t,x,'*r')
subplot 222
stem(t,x)
subplot 223
stairs(t,x)
subplot 224
fill(t,x,'g')
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24. Program 23:
clear all ;close all;clc;
syms x t w a
f1=heaviside(x);
f2=heaviside(x-2);
f3=heaviside(x+2);
f4=heaviside(x+2)-heaviside(x-2);
subplot 221
ezplot(f1,[-5 5])
subplot 222
ezplot(f2,[-5 5])
subplot 223
ezplot(f3,[-5 5])
subplot 224
ezplot(f4,[-5 5])
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1

25. Program 24:
clear all ;close all;clc;clf
t=0:0.01*pi:4*pi;
vint=cos(2*pi*4*t);
fvint=fft(vint,512);
w=1/(0.01*pi*2)*linspace(0,1,256);
subplot 211
plot(t,vint)
xlabel('time')
ylabel('amplitude')
subplot 212
plot(w,abs(fvint(1:256)))
xlabel('frequency')
ylabel('magnitude')
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0.5
1
x
heaviside(x)
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0.5
1
x
heaviside(x - 2)
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0.5
1
x
heaviside(x + 2)
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0.5
1
x
heaviside(x + 2) - heaviside(x - 2)

26. Program 25:
clear all ;close all;clc;clf
t=0:0.01*pi:4*pi;
x=cos(t);
y=sin(t);
plot(t,x,'-r',t,y,'.g')
legend('cos','sin')
title('sinusoidal signals')
xlabel('time')
ylabel('amplitude')
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0.5
1
time
amplitude
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100
150
200
frequency
magnitude

27. 0 2 4 6 8 10 12 14
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1
time
amplitude
sinusoidal signals
cos
sin

28. Program 26:
z=magic(3);
subplot 221
bar(z)
subplot 222
bar(z,'stacked')
subplot 223
bar(z,'grouped')
subplot 224
barh(z,'stacked')
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15
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29. Program 27:
z=magic(2);
subplot 221
bar(z)
subplot 222
bar(z,'c')
subplot 223
bar(z,'histic')
subplot 224
barh(z,'histic')
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4
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4
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4
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2

30. Program 28:
z=round(10.*rand(1,10));
figure(4)
subplot 211
hist(z,5)
subplot 212
hist(z,7)
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4
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4

31. Program 29:
t=0:0.01*pi:2*pi;
y=sin(2*t).*cos(2*t);
figure(8)
subplot 221
polar(t,y,'--g')
subplot 222
polar(t,y,'bs')
subplot 223
polar(t,y,'dr')
subplot 224
f=polar(t,y);
set(f,'color','m')
set(f,'linewidth',2)
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180 0
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180 0

32. Program 30:
x=[1:10];
y=2.*rand(1,10);
figure(1)
set(figure(1),'color','yellow');
subplot 221
scatter(x,y)
subplot 222
scatter(x,y,'r')
subplot 223
scatter(x,y,3,'g')
subplot 224
stem(x,y)
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33. Program 31:
clear all;close all;clc
[x,y,z]=sphere(100);
x1=x(:);
y1=y(:);
z1=z(:);
figure(1)
set(figure(1),'color','y')
scatter3(x1,y1,z1)
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34. Program 32:
clear all;close all;clc
[x,y,z]=sphere(100);
x1=x(:);
y1=y(:);
z1=z(:);
figure(1)
set(figure(1),'color','y')
subplot 211
scatter3(x1,y1,z1,2,'k')
subplot 212
scatter3(x1,y1,z1,10,'g')
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1

35. Program 32:
x=0:10;
y=0:10;
[xm ym]=meshgrid(x,y);
z=xm.^2/2+ym.^2/4;
figure(1)
subplot 221
mesh(z)
subplot 222
contour(x,y,z)
subplot 223
surf(x,y,z)
subplot 224
surfc(x,y,z)
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36. Program 33:
%system of linear equation
%cramer method
a=[1 2 3;2 3 4;4 2 5];
b=[4;5;1];
d1=a;
d1(:,1)=b;
x(1)=det(d1)/det(a)
d2=a;
d2(:,2)=b;
x(2)=det(d2)/det(a)
d3=a;
d3(:,3)=b;
x(3)=det(d3)/det(a)
command window:
x =
-1.4000 1.8000 0.6000
Program 34:
%system of linear equation
%Gass elimination
a=[1 2 3;2 3 4;4 2 5];
b=[4;5;1];
x=inv(a)*b
x =
-1.4000
1.8000
0.6000

37. x=ab
x =
-1.4000
1.8000
0.6000
Program 35:

38. Program 36:
>> y=logspace(1,5);
>> size(y)
ans =
1 50
>> plot(y)
>> z=logspace(1,5,5);
>> area(z)
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x 10
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x 10
4

39. Program 37:
x=ones(10,10);
x(3,3)=10;
x(3,7)=10;
x(6,5)=10;
x(8,4:6)=10;
image(x)
colormap copper(2)
%colormap spring(2)
%colormap hsv
%colormap summer
1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
10