DSP Final ABHI-libre

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SRI SAI INSTITUTE OF ENGG. AND TECHNOLOGY

MATLAB PRACTICAL FILE

ECE 316

Abhishek SharmaECE - 6t h Sem.
http://www.scribd.com/abeesharmahttp://www.scribd.com/abeesharmahttp://www.scribd.com/abeesharmahttp://www.scribd.com/abeesharmahttp://www.scribd.com/abeesharma


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TABLE OF CONTENTS

Inroduction To MATLAB __________________________________________________________________

Program For Impulse Function ___________________________________________________________

Program For Unit Step Function __________________________________________________________

Program For Unit Ramp Function _________________________________________________________

Program For Exponential Function ______________________________________________________

Program For Real Value Function ________________________________________________________

Program For Shifting Function ____________________________________________________________

Program For Addition Function ___________________________________________________________

Program For Multiplication Function ____________________________________________________

Program For Convolution Function ______________________________________________________

Program For Folding Function ____________________________________________________________


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WHAT IS MATLAB? AN INTRODUCTION

)t stands for MATrix LAbORATORY )t is developed by The Mathworks )nc. )t is an interactive, integrated, environment For numerical computations For symbolic computations For scientific visualizations )t is a high level programming language Program runs in interpreted, as opposed to compiled, mode MATLAB is a high level technical computing language and interactive environment for

algorithm development, data visualization, data analysis and numeric computation. Usingthe MATLAB product, you can solve technical computing problems faster than thetraditional programming languages such as C, C++ and FORTRAN.

You can use MATLAB in a wide range of applications, including signal and image processing,communication, control design, test and measurement, financial modeling and analysis, andcomputational biology. Add on toolboxes collection of special purpose MATLAB functions,

available separately extend the MATLAB environment to solve particular classes ofproblems in these application areas.

MATLAB provides a number of features for documenting and sharing your work. You canintegrate your MATLAB code with other languages and applications, and distribute yourMATLAB algorithms and applications.


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Characterstics Of MATLAB:

Programming Language Based principally On Matrices.

Slow compared with FORTRAN or C because it is an interpreted language, i.e not precompiled. Avoid for loops, instead use vector form whenever possible. Automatic memory management, i.e you dont have to declare arrays in advance. )ntuitive, easy to use. Compact array handling is Fortran 90like . Shorter program development time than traditional programming languages such as

FORTRAN and C. Can be converted into C code via MATLAB compiler for better efficiency. Many applications specific toolboxes available. Coupled with Maple for symbolic computations. On sharedmemory parallel computers such as the SG) Origin 000, certain operations

processed in parallel autonomously when computation load warrants.

KEY FEATURES :-

(igh level language for technical computing.

Development environment for managing code, files, and data. )nteractive tools for iterative exploration, design and problem solving. Mathematical functions for linear algebra, statistics, Fourier analysis, filtering, optimization,

and numerical integration D and D graphical functions for visualizing data. Tools for building custom graphical user interfaces. Functions for integrating MATLAB based algorithm with external application and languages,

such as C, C++, FORTRAN, Java, and Microsoft Excel.


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EXAMPLES:

Matrix computation and linear algebra.

Solving nonlinear equation. Numerical solution of differential equation. Mathematical optimization. Statistical and data analysis. Signal Processing. Modeling of dynamical systems. Solving partial differential equation. Simulation of Engg. Systems.

USES IN ENGG. COMPANIES:

Numerical analysis Signal and system. Modeling of dynamical systems. Automatic control.

BASIC COURSES:

Automatic control advanced course. (ybrid and embedded. Control system. Chemical process control. Control process control. Signal theory. Digital signal processing. Adaptive signal processing. Signal processing project. Communication theory. Advance communication theory.


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Program - 1

To Develop Elementary Signal For Impulse Function

Program:

a=[ 2;1;2]

b=[zeros(1,2),ones(1,1),zeros(1,2)]

stem(a,b)

xlabel(a >) ylabel(amp >)

Result:

a= 2 1 0 1 2

b= 0 0 1 0 0


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Graph For Impulse Function:


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Program - 2

To Develop Elementary Signal For Unit Step Function

Program:

n=input(enter the value of n)

a=[1:1:n]

b=[ones,n]

subplotes

stem(a,b)

xlabel(n..>)

ylabel(amplitude)

Result of unit step function :

Enter the value of n

n=5

a=0 1 2 3 4

b= 1 1 1 1 1


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Graph For Unit Step Function:


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Program - 3

To Develop

Elementary

Signal

For

Unit

Ramp

Function

Program :

a=[2:1:8]

b=[0;1;6]

subplot

stem(a,b)

xlabel(n.)

ylabel(amp.)

Result of unit ramp function :

a=2 3 4 5 6 7 8

b= 0 1 2 3 4 5 6


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Graph For Unit Ramp Function:


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Program - 4

To Develop Exponential Function Of (Given) Sequence

Program :

n=input(enter the value of n)

a=input(enter the value of a)

t=[0:1:n]

y=exp(a*t)

subplot

stem(t,y)

xlabel(a)

ylabel(n)

Result of exponential: Enter the value of n10

n= 10

enter the value of a0.5

a= 0.5000

t=0 1 2 3 4 5 6 7 8 9 10

y=columns 1 through 10

1.0000 1.6487 2.7183 4.4817 7.3891 12.1825 20.0855 33.1155 54.5982 90.0171

Column11

148.4132


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Graph For Exponential Function:


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Program - 5

To Develop Elementary Signal For Real Value

Program:

n=[0,1,2,3,4,5]

a=[0.5]

y=a.^n

subplot

stem(n,y)

xlabel(n..)

ylabel(a)

Result of Real Value No. :

n= 0 1 2 3 4 5

a= 0.5000

y = 1.0000 0.5000 0.2500 0.1250 0.0625 0.0313


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Graph For Real Value Function :


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Program - 6

To Develop Elementary Signal For Shifting Program:

a=[ 3:1:3]

b=[1.2.3.2.1.1.2]

subplot(3,1,1)

stem(a,b)

xlabel(n >)

ylabel(amp >)

a=a

subplot(3,1,2)

stem(a,b)

xlabel(n >)

ylabel(amp >)

Result:

a = 3 2 1 0 1 2 3

b = 1 2 3 2 1 1 2

a = 3 2 1 0 1 2 3


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Graph For Shifting Function:


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Program - 7

To Develop Elementary Signal For Addition Of Two Sequences

Program:

n=[ 3:1:3]

b=[2,3,0,1,3,2,1]

subplot(5,1,1) stem(n,b) xlabel('n.>') ylabel('amplitude') title('input of signal b') a=[3,4,5,6,7,8,9] subplot(5,1,3) stem(n,b) ylabel('amplitude') title('input of signal a') z=b+a subplot(5,1,5) stem(n,a) xlabel('n.>') ylabel('amplitude') title('addition of two signal is z(n)')

Result of Addition:

2 3 0 1 3 2 1

a = 3 4 5 6 7 8 9

z = 5 7 5 7 10 10 10


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Graph For Addition Function :


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Program - 8

To Develop Elementary Signal For Multiplication Of Two

Sequences

Program:

n=[ 2:1:3] x=[1,2,3,4,5,6] subplot(3,1,1) stem(n,x) xlabel('n >') ylabel('amp >') y=[2] z=(x*y) subplot(3,1,2) stem(n,z) xlabel('n >') ylabel('amp >')

Result:

n = 2 1 0 1 2 3

x = 1 2 3 4 5 6

y = 2

z = 2 4 6 8 10 12


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Graph For Multiplication Function:


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Program - 9

To Develop The Elementary Signal For Convolution Of

Two Sequences

Program:

X=input(enter the value of x)

h=input(enter the value of h)

y=conv(x,h)

subplot(3,1,1)

stem(x)

xlabel(n.>)

ylabel(amplitude.>)

subplot(3,1,2)

stem(h)

xlabel(n.>)

ylabel(amplitude.>)

subplot(3,1,3)

stem(y)

xlabel(n.>)

ylabel(amplitude.>)


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Result of convolution:

Enter the sequence of x[1,2]

X=1 2

Enter the sequence of h[1,2,3,4]

h = 1 2 3 4

y = 1 4 7 10 8


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Graph For Convolution Function:


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Program - 10

To Develop Elementary Signal For Folding

Program:

a=[ 3:1:3]

b=[1,2,3,2,1,1,2]

subplot(3,1,1)

stem(a,b) xlabel(n.. >)

ylabel(amp..>)

a= a

subplot(3,1,2)

stem(a,b)

xlabel(n..>)

ylabel(amp..>)

Result of Folding :

a= 3 2 1 0 1 2 3

b= 1 2 3 2 1 1 2

a= 3 2 1 0 1 2 3


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Graph For Folding Function:

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