The document is an introductory presentation on MATLAB and Simulink, covering essential commands for creating arrays, plotting graphs, symbolic computation, and linear algebra operations. It includes examples such as plotting a circle, sine waves, and performing differentiation and integration. The document also touches on basic programming structures, data visualization techniques like bar and pie charts, and mentions practical applications like signal processing.

1. “Introduction to MATLAB & SIMULINK”
Presented by
Amarjeetsingh Thakur
Asst. Professor
Dept. of Electronics & Communication Engg.
KLETU ,Hubli, Karnataka, India
1

2. WELCOME TO THE WORLD
OF MATLAB!!!
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3. Playing w ith arrays of numbers
3

4. Creating and working with Arrays of
numbers
>> x=[4 5 6 ] % x is a row vector with three
elements
>> y=[1 2 3]
>> z=x+y % z=5 7 9
>> z=x-y %z= 3 3 3
>> j=[1;2;3] % x is a column vector with three
elements
>> z=x.*y % z= 4 10 18
>> z=x./y % z=4.0000 2.5000 2.0000
4

5. Contd…
x=linspace(0,10,5) % x = 0 2.5000 5.0000 7.5000
10.0000
Create a vector x with 5 elements linearly
spaced between 0 and 10
z=sqrt(x) % Square root of x
5

6. Creating p lots in mat lab so easy!!!
6

7. Creating simp le p lots
%Draw a circle of unit radius
theta= linspace(0,2*pi,100); % Create a linearly
spaced 100 elements long vector Θ
x=cos(theta);
y=sin(theta); % Calculate x and y coordinates
plot(x,y); % Plot x vs y
axis(‘equal’); % Set length scales of two axes to be
same
xlabel(‘x’);
ylabel(‘y’);
title(‘Circle of unit radius’);
7

8. Contd…
% Plot sine wave
% Plot created on 2/1/2014
x=linspace(0,2*pi,100);
plot(x,sin(x));
plot(x,sin(x),’r’); % Color of sine wave is red
plot(x,sin(x),’+’);
xlabel(‘x’);
ylabel(‘sin(x)’);
title(‘Plot created by Amarsingh’);
8

9. Contd…
% overlapping of sine waves
x=linspace(0,2*pi,100);
plot(x,sin(x),x,sin(x),’o’)
xlabel(‘x’);
ylabel(‘sin(x)’);
9

10. Contd…
x=linspace(0,2*pi,100);
subplot(3,1,1); %Divide figure window into 3
rows, 1 column and place the figure in first part
plot(x,sin(x));
subplot(3,1,2);
plot(x,cos(x));
subplot(3,1,3);
plot(x,tan(x));
10

11. Plotting the given function
>>syms x
>> subplot(3,1,1)
>> f=sin(x)
>> ezplot(f)
>> subplot(3,1,2)
>> f=cos(x)
>> ezplot(f)
>> subplot(3,1,3)
>> f=x+10
>> ezplot(f)
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12. 12

13. MATLAb w ill make us to enjoy
symbolic comp utation 
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14. Symbolic Computation
>> syms x y % x & y as symbolic variables
>> f=(x+y)^2 % x^2 + 2*x*y + y^2
>>expand(f) % x^2 + 2*x*y + y^2
>>pretty(ans) % Use pretty to get the
expression in more readable form
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15. Contd…
% Expansion of trignometric expression
>>z=sin(x+y)
>>expand(z) % cos(x)*sin(y) + cos(y)*sin(x)
>>pretty(ans) % cos(x) sin(y) + cos(y) sin(x)
>>z=cos(x+y)
>> expand(z) % cos(x)*cos(y) - sin(x)*sin(y)
>>pretty(ans)
>> z=tan(x+y)
>> expand(z) % -(tan(x) + tan(y))/(tan(x)*tan(y) - 1)
>> pretty(ans)
15

16. Contd..
% Differentiation of an expression
>> syms x y
>> z=sin(x+y)
>> diff(z) % differentiate z with respect to x.
16

17. Contd…
% Second derivative of z with respect to x
>> z=sin(x)
>> diff(diff(z)) % -sin(x)
>> diff(diff(z,x)) % -sin(x)
>> z=x^3+x^2+x
>> diff(diff(z,x)) % 6*x + 2
>> pretty(ans) % 6 x + 2
17

18. Contd…
% Indefinite integral
>> z= sin(x)
>> int(z,x) % -cos(x)
>> int(int(z,x)) %-sin(x) % Double integration
w.r.t. x
18

19. Contd…
% Definite integral
>> z=x^2
>> j=int(z,x,0,2) % j=8/3
>> k=int(j,x,0,3) % k=8
19

20. Have fun p laying w it h mat rice s 
20

21. Matrices & Vectors
% Create a random matrix 4X3
x=rand(4,3)
x(3:4,2:3) % get those elements of A that are
located in 3 to 4 and columns 2 to 3
x(:,4)=x(:,1) % Add a fourth column to x and set
it equal to the first column of x
x(2:4,2:4)=eye(3) % Replace the last 3X3
submatrix of x by a identity matrix
x([1 3],:)=[] % Delete the first and third rows of x
21

22. Contd…
x=round(x) % Round off all entries of x
22

23. Contd..
% Magic square matrix
x=magic(3) % x = magic(n) returns an n-by-n
matrix constructed from the integers 1
through n^2 with equal row and column sums.
The order n must be a scalar greater than or
equal to 3.
23

24. Programs? ? ?
Yes !!!you love it 
24

25. Loop s, B ranche s, and cont rol -flow
1. For loops: A for loop is used to repeat a
statement or a group of statements for a
fixed number of times.
>>for m=1:100
>>num=1/(m+1)
>>end
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26. Contd…
2. If-elseif-else statements
>>i=6; j=21;
>>If i>5
>>k=i;
>>elseif (i>1) & (j==20)
>>k=5*i+j;
>>else
>>k=1;
>>end
26

27. Contd…
3. switch-case-otherwise
color=input(‘color=’,’s’);
switch color
case ‘red’
c=[1 0 0];
case ‘green’
c=[0 1 0];
case ‘blue’
c=[0 0 1];
otherwise
error(‘Invalid choice of color’)
end 27

28. MATLAB makes you smarter to do
linear algebra op erations 
28

29. Linear Algebra
%Task: To solve a set of given linear algebraic
equations
5x-3y+2z=10
-3x+8y+4z=20
2x+4y-9z=9
>> A=[5 -3 2; -3 8 4; 2 4 -9];
>> b=[10; 20; 9];
>> x=Ab
>> c=A*x % 10.00 20.00 9.00
29

30. Contd..
%Task: Compute roots of polynomials
x^5-3*x^3+x^2-9
>> c=[1 0 -3 1 -9];
>> roots(c)
30

31. FUN WITH BAR CHARTS & PIE CHARTS
31

32. B a s i c 2 - D p l o t s
% World population by continents.
>>cont=char(‘Asia’,’Europe’,’Africa’,
’N.America’,’S.America’);
>>pop=[3332;696;694;437;307];
>>barh(pop) % Bar chart
>>for i=1:5
gtext(cont(i,:));
>>end
>>xlabel(‘population in millions’)
>>title(‘World poplation (1992)’,’fontsize’,18)
32

33. 33

34. Contd..
>>cont=char(‘Asia’,’Europe’,’Africa’,
’N.America’,’S.America’);
>>pop=[3332;696;694;437;307];
>>pie(pop) % Pie chart
>>for i=1:5
gtext(cont(i,:));
>>end
>>xlabel(‘population in millions’)
>>title(‘World poplation (1992)’,’fontsize’,18)
34

35. 35

36. CONTd..
>>pop=[807;3701;731;481;349];
>>continents={'Africa','Asia','Europe','N.America
','S.America'};
>> pie3(pop,continents)
>> title('world population in 2003')
36

37. 37

38. Ploting grap h on semilog she e t
>> t=linspace(0,2*pi,200);
>> x=exp(-t);
>> y=t;
>> semilogx(x,y)
>> grid
>> grid on
38

39. 39

40. Contd..
>> t=linspace(0,2*pi,200);
>> semilogy(t,exp(t))
>> grid
40

41. 41

42. HURRAY!!!
LEARNING SIMULINK IS SO FUN!!!
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43. 43

44. Display of sine wave on scope
44

45. Multiplexing & Demultiplexing of
signals
45

46. Logical Operations
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47. Addition/Subtraction Operation
47

48. Comparing a constant
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49. Plane take-off demo model
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50. Plane take-off with trajectory tracing
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51. References
www.mathworks.com
“Getting started with MATLAB” by Rudra
Pratap Singh.
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52. Any QUERRIES??????
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