bs lab manuals

7/22/2019 BS Lab Manuals

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Basic Simulation Lab

Experiment No-1

BASIC OPERATIONS ON MATRICES

AIM: - To write a MATLAB program to perform some basic operation on matrices

such as addition, subtraction, multiplication.

SOFTWARE REQURIED:-

MATLAB R2006 (7.3 Version).

PROCEDURE:-

Open MATLAB

Open new M-file

Type the program

Save in current directory

Compile and Run the program

For the output see command window\ Figure window

PROGRAM:-

clc;

close all;

clear all;

a=[1 2 -9 ; 2 -1 2; 3 -4 3];

b=[1 2 3; 4 5 6; 7 8 9];

disp('The matrix a= ');a

disp('The matrix b= ');b

% to find sum of a and b

c=a+b;

disp('The sum of a and b is ');c

% to find difference of a and b

d=a-b;

disp('The difference of a and b is ');d%to find multiplication of a and b

e=a*b;

disp('The product of a and b is ');e

% to find element-by-element multiplication

RESULT:-

Finding addition, subtraction, multiplication using Matlab was

Successfully completed

Dept of ECE, SVCET1


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OUTPUT:-

The matrix a=

a =

1 2 -9

2 -1 2

3 -4 3

The matrix b=

b =

1 2 3

4 5 6

7 8 9

The sum of a and b is

c =

2 4 -66 4 8

10 4 12

The difference of a and b is

d =

0 0 -12

-2 -6 -4

-4 -12 -6

The product of a and b is

e =

-54 -60 -66

12 15 18

8 10 12

Dept of ECE, SVCET2


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Experiment No-2a

GENERATION OF DISCRETE SIGNALS

AIM: -To writeaMATLAB Program to generate of discrete time signals like

unit impulse, unit step, unit ramp, exponential signal and sinusoidal signals.

SOFTWARE REQURIED :-

MATLAB R2006 b (7.3 Versions)

PROCEDURE:-

Open MATLAB

Open new M-file

Type the program




PROGRAM:-

clc;

clearall;

close all;

n=-10:1:10;L=length(n);

fori=1:L

ifn(i)==0

x1(i)=1;

else

x1(i)=0;

end;

ifn(i)>=0

x2(i)=1;

x3(i)=n(i);

else

x2(i)=0;

x3(i)=0;

end;

end;

% to generate exponential sequence

a=0.85;

x4=a.^n;

% to generate sinusoidal sequence

f=0.1;

x5=sin(2*pi*f*n);figure;

Dept of ECE, SVCET3


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subplot(3,2,1);

stem(n,x1);

xlabel('time n ---->');

ylabel('amplitude---->');title('Unit step signal');

subplot(3,2,2);

stem(n,x2);xlabel('time n ---->');

ylabel('amplitude---->');

title('Unit impluse signal')

subplot(3,2,3);

stem(n,x3);



title('Unit remp signal');

subplot(3,2,4);stem(n,x4);xlabel('time n ---->');


title('exponential signal');

subplot(3,2,[5,6]);

stem(n,x5);



title('sinusoidal signal');

RESULT:-Thus the Generation of discrete time signals like unit impulse, unit step,

unit ramp, exponential signal and sinusoidal signals was successfully

Completed.

OUTPUT:-

Dept of ECE, SVCET4


5/49


Dept of ECE, SVCET5


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Experiment No-2b

GENERATION OF CONTINUOUS SIGNALS

AIM: -To writeaMATLAB Program to generate of continuous time signals like

unit step, sawtooth, triangular, Sinusoidal, ramp, and sinc function.

SOFTWARE REQURIED :


.

PROCEDURE:-

Open MATLAB

Open new M-file Type the program




PROGRAM:-

clc;

Clearall;

Close all;

t=-10:0.01:10;L=length(t);

fori=1:L

%to generate unit Step and ramp function

ift(i)


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plot(t,x1);

xlabel('t--->');ylabel('amp--->');

title('unit step');

subplot(2,3,2);plot(t,x2);


title('unit ramp');

subplot(2,3,3);

plot(t,x3);


title('sinusoidal');

subplot(2,3,4);

plot(t,x4);


title('triangular');subplot(2,3,5);

plot(t,x5);


title('sawtooth');

subplot(2,3,6);

plot(t,x6);


title('sinc function');

RESULT:-Thus the Generation of continuous time signals like unit step, sawtooth,

triangular, sinusoidal, ramp and sinc functions are successfully completed.

OUTPUT:-

Dept of ECE, SVCET7


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Dept of ECE, SVCET8


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Experiment No-03

OPERATIONS ON SIGNALS AND SEQUENCES

AIM: - To perform various operations on signals such as addition, multiplication,

scaling, shifting and folding, computation of energy and avg power using

MATLAB program..



.

PROCEDURE:-

Open MATLAB Open new M-file

Type the program




PROGRAM:-

clc,close all;

clearall;

t=0:0.001:1;

L=length(t);

f1=1;

f2=3;

x1=sin(2*pi*f1*t);

x2=sin(2*pi*f2*t);

figure;

subplot(3,2,1);

plot(t,x1,'b',t,x2,'r');title('the signals x1(t) and x2(t)');

x3=x1+x2;

subplot(3,2,2);

plot(t,x3);

title('the sum of x1(t) and x2(t)');

x4=x1.*x2;

subplot(3,2,3);

plot(t,x4);

title('the multiplication of x1(t) and x2(t)');

t=-1:0.001:0;

x5=sin(2*pi*f1*(-t));

Dept of ECE, SVCET9


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x6=sin(2*pi*f2*(-t));

subplot(3,2,4);

plot(t,x5,'b',t,x6,'r');

title('the folding of x1(t)and x2(t)');x7=[zeros(1,200),x2(1:(L-200))];

subplot(3,2,5);

plot(t,x7);

title('the shifting of x1(t)and x2(t)');

x8=x2.^2;

subplot(3,2,6);

plot(t,x8);

title('the squaring of x1(t)and x2(t)');

RESULT:-

Thus the MATLAB Program to perform some operations on signalswas completed successfully.

OUTPUT:-

Dept of ECE, SVCET10


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Experiment No-4

EVEN AND ODD PART OF A SIGNAL

AIM: - To write a MATLAB program to finding the even and odd parts of a signal.



.

PROCEDURE:-

Open MATLAB

Open new M-file

Type the program




PROGRAM:-

clc;

clearall;

close all;t=-5:0.001:5;

A=0.8;

x1=A.^(t);

x2=A.^(-t);

if(x2==x1)

disp('The given signal is even signal');

else

if(x2==(-x1))

disp('The given signal is odd signal');

else

disp('The given signal is neither even nor odd'); end

end

xe=(x1+x2)/2;

xo=(x1-x2)/2;

subplot(2,2,1);

plot(t,x1);

xlabel('t');ylabel('x(t)');title('signal x(t)');

subplot(2,2,2);

plot(t,x2);

xlabel('t');ylabel('x(t)');title('signal x(-t)');

subplot(2,2,3);



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plot(t,xe);

xlabel('t');ylabel('x(t)');title('even part signal x(t)');

subplot(2,2,4);

plot(t,xo);xlabel('t');ylabel('x(t)');title('odd part signal x(t)');

RESULT:-

Thus the MATLAB Program to find even and odd parts of signals

was completed successfully.

OUTPUT:-



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Experiment No-5

CONVOLUTION OF TWO SEQUENCES

AIM: - To write a MATLAB program to find the convolution of two sequences.



.

PROCEDURE:-

Open MATLAB





PROGRAM:-

clc;

clearall;

close all;

n=0:8;x1=1;

x2=0;

y1=x1.*(n>=0 & n=2 & n=0 & n=4 & n


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title('the convolution sequence of y1[n]&y2[n]');

RESULT:-

Thus the MATLAB Program to finding the convolution of two sequences

is completed successfully.

OUTPUT:-



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Experiment No-06

AUTO-CORRELATION & CROSS-CORRELATIONBETWEEN SIGNALS

AIM: - To write a matlab program to compute autocorrelation and cross correlation

between signals.



.PROCEDURE:

Open MATLAB

Open new M-file

Type the program




PROGRAM:

clc; clearall; close all;

t=0:0.01:1;

f1=3;

x1=sin(2*pi*f1*t);

figure;

subplot(2,1,1);

plot(t,x1);

title('sine wave');

xlabel('time ---->');


grid;

[rxx lag1]=xcorr(x1);subplot(2,1,2);

plot(lag1,rxx);

grid;

title('auto-correlation function of sine wave');

figure;

subplot(2,2,1);

plot(t,x1);

title('sine wave x1');

xlabel('time ---->');


grid;f2=2;



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x2=sin(2*pi*f2*t);

subplot(2,2,2);

plot(t,x2);

title('sine wave x2');xlabel('time ---->');,ylabel('amplitude---->');

grid;

[cxx lag2]=xcorr(x1,x2);

subplot(2,2,[3,4]);

plot(lag2,cxx);

grid;

title('cross-correlation function of sine wave');

RESULT:

Thus the MATLAB Program of computing auto correlation and

cross correlation between signals was completed successfully.

OUTPUT:



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Experiment No-7(a)

LINEAR SYSTEM OR NON-LINEAR SYSTEM

AIM: - To write a matlab program to verify the given system is linear or non-linear.



PROCEDURE:-

Open MATLAB

Open new M-file

Type the program Save in current directory



PROGRAM:-


x1=input('enter the x1[n] sequence='); % [0 2 4 6]

x2=input('enter the x2[n] sequence='); % [3 5 -2 -5]

iflength(x1)~=length(x2)

disp(' length of x2 must be equal to the length of x1');

return;

end;

h=input('enter the h[n] sequence=');% [-1 0 -3 -1 2 1]

a=input('enter the constant a= '); % 2

b=input('enter the constant b= '); % 3

y01=conv(a*x1,h);

y02=conv(b*x2,h);

y1=y01+y02;

x=a*x1+b*x2;

y2=conv(x,h);

L=length(x1)+length(h)-1;n=0:L-1;

subplot(2,1,1);

stem(n,y1);

label('n --->'); label('amp ---->');

title('sum of the individual response');

subplot(2,1,2);

stem(n,y2);

xlabel('n --->'); ylabel('amp ---->');

title('total response');

ify1==y2

disp('the system is a Linear system');else



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disp('the system is a non-linear system');

end;

RESULT:-

Thus the MATLAB Program of verifying the system is linear ornon linear by using matlab has performed.

INPUT SEQUENCE:

Enter the x1[n] sequence= [0 2 4 6]

Enter the x2[n] sequence= [3 5 -2 -5]

Enter the h[n] sequence= [-1 0 -3 -1 2 1]

Enter the constant a= 2 & enter the constant b= 3

The system is a linear system

OUTPUT:-

Experiment No-07(b)



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TIME-INVARIANT OR TIME-VARIANT SYSTEM

AIM: - To write a matlab program to verify the given system is Time invariantor Timevariant.



PROCEDURE:-

Open MATLAB

Open new M-file

Type the program

Save in current directory Compile and Run the program


PROGRAM:-


x=input('enter the sequence x[n]='); %[0 2 3 1 -2 7 3]

h=input('enter the sequence h[n]='); %[4 -5 -11 -3 7 2 6 8 -15]

d=input('enter the positive number for delay d='); % 5

xdn=[zeros(1,d),x]; % delayed input

yn=conv(xdn,h); % output for delayed inputy=conv(x,h); % actual output

ydn=[zeros(1,d),y]; % delayed output

figure;

subplot(2,1,1);

stem(0:length(x)-1,x);

xlabel('n ---->'),ylabel('amp --->');

title('the sequence x[n] ');

subplot(2,1,2);

stem(0:length(xdn)-1,xdn);


title('the delayed sequence of x[n] ');

figure;

subplot(2,1,1);

stem(0:length(yn)-1,yn);


title('the response of the system to the delayed sequence of x[n] ');

subplot(2,1,2);

stem(0:length(ydn)-1,ydn);


title('the delayed output sequence ');

ifyn==ydndisp('the given system is a Time-invarient system');



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else

disp('the given system is a Time-varient system');

end;

RESULT:-

Thus the MATLAB Program of verifying the system is Time invariant

or Timevariant System by using matlab has performed.

INPUT SEQUENCE:

Enter the sequence x[n] = [0 2 3 1 -2 7 3]

Enter the sequence h[n] = [4 -5 -11 -3 7 2 6 8 -15]

Enter the positive number for delay d=5

The given system is a Time-invariant system

OUTPUT:-



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Experiment No-08

IMPULSE RESPONSE AND STEP RESPONSE

AIM: - To write a matlab program to find the impulse response& step response of the

LTI system governed by the transfer function H(s) =1/S 4s+3.



.PROCEDURE:-

Open MATLAB

Open new M-file

Type the program




PROGRAM:-

clc;

clearall;

close all;

syms scomplex;

H=1/(s^2+4*s+3);disp('Impulse response of the system h(t) is');

h=ilaplace(H);

simplify(h);

disp(h);

Y=1/(s*(s^2+4*s+3));

disp('Step response of the system is');

y=ilaplace(Y);

simplify(y);

disp(y);

t=0:0.1:20;

h1=subs(h,t);

subplot(2,1,1);

plot(t,h1);

xlabel('time');

ylabel('h(t)');

title('Impulse response of the system');

y1=subs(y,t);

subplot(2,1,2);

plot(t,y1);

xlabel('time');

ylabel('x(t)');title('step response of the system');



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RESULT:-

Thus the Generation of impulse response & step response of the LTI system is

completed.

OUTPUT:-

Impulse response of a system h (t) is exp (-2*t)*sinh (t).

The step response of a system is 1/6*exp (-3*t)-1/2*exp (-t) +1/3.

OUTPUT:



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Experiment No-9

GIBBS PHENOMENON

AIM: - To write a MATLAB program to construct the following p periodic signal represented

by its Fourier Series by considering only 3,9,59 terms.



. PROCEDURE:-

Open MATLAB

Open new M-file

Type the program




PROGRAM:-

clc;

clearall;

close all;

N=input('enter the no. of signals to reconstruct=');n_har=input('enter the no. of harmonics in each signal=');

t=-1:0.001:1;

omega_0=2*pi;

fork=1:N

x=0.5;

forn=1:2:n_har(k)

b_n=2/(n*pi);

x=x+b_n*sin(n*omega_0*t);

end

subplot(N,1,k);

plot(t,x);

xlabel('time--->');

ylabel('amp---->');

axis([-1 1 -0.5 1.5]);

text(0.55,1.0,['no.of har=',num2str(n_har(k))]);

end

RESULT:- Thus, the operation to perform Gibbs Phenomenon is successfully

completed.



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OUTPUT:-

enter the no. of signals to reconstruct=3

enter the no. of harmonics in each signal=[3,5,59]



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Experiment No-10(a)

FOURIER TRANSFORMS AND INVERSE FOURIER TRANSFORMS

AIM: - To find Fourier transform and inverse Fourier transforms of given functions.



.

PROCEDURE:-

.Open MATLAB

Open new M-file

Type the program




PROGRAM:-

To find Fourier transform


syms ts;syms wreal;

syms Areal;syms oreal;symsbfloat;f=dirac(t);

F=fourier(f);

disp('the fourier transform of dirac(t) =');

disp(F);

f1=A*heaviside(t);

F1=fourier(f1);

disp('the fourier transform of A =');

disp(F1);

f2=A*exp(-t)*heaviside(t);

F2=fourier(f2);

disp('the fourier transform of exp(-t) =');

disp(F2);

f3=A*t*exp(-b*t)*heaviside(t);

F3=fourier(f3);

disp('the fourier transform of A*t*exp(-b*t)*u(t) =');

disp(F3);

f4=sin(o*t);

F4=fourier(f4);

disp('the fourier transform of sin(o*t) =');

disp(F4);



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To find inverse Fourier transforms of Given functions.

F1=A*pi*(dirac(w-o)+dirac(w+o));f1=ifourier(F1,t);

disp('the inverse fourier transform of A*pi*(dirac(w-o)+dirac(w+o)=');

disp(f1);

F2=A*pi*(dirac(w-o)-dirac(w+o))/i;

f2=ifourier(F2,t);

disp('the inverse fourier transform of A*pi*(dirac(w-o)+dirac(w+o)/i=');

disp(f2);

F3=A/(1+i*w);

f3=ifourier(F3,t);

disp('the inverse fourier transform of A/(1+jw)=');

disp(f3);F4=(3*i*w+14)/((i*w)^2+7*i*w+12);

f4=ifourier(F4,t);

disp('the inverse fourier transform of (3*i*w+14)/((i*w)^2+7*i*w+12)=');

disp(f4);

RESULT: - Thus the MATLAB program to find fouries transform and inverse fouries

transform of given functions is successfully completed.

OUTPUT:-

the fourier transform of dirac(t) =1

the fourier transform of A =A*(pi*dirac(w)-i/w)

the fourier transform of exp(-t) =

A/(1+i*w)

the fourier transform of A*t*exp(-b*t)*u(t) =

A/(b+i*w)^2

the fourier transform of sin(o*t) =

i*pi*(dirac(w+o)-dirac(w-o))

the inverse fourier transform of A*pi*(dirac(w-o)+dirac(w+o)=

A*cos(o*t)

the inverse fourier transform of A*pi*(dirac(w-o)+dirac(w+o)/i=

A*sin(o*t)

the inverse fourier transform of A/(1+jw)=

A*exp(-t)*heaviside(t)

the inverse fourier transform of (3*i*w+14)/((i*w)^2+7*i*w+12)=

heaviside(t)*(-2*exp(-4*t)+5*exp(-3*t))



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Experiment no-10(b)

MAGNITUDE AND PHASE SPECTRUM OF FOURIER TRANSFORMS

AIM: -.To find Fourier transform of the given signal and to plot its magnitude

and phase spectrum.



. PROCEDURE:-

Open MATLAB

Open new M-file

Type the program




PROGRAM:-


syms ts ;

syms wfloat;

f=3*exp(-t)*heaviside(t); % given function

F=fourier(f); % to find Fourier Transformdisp('the fourier transform of 3*exp(-t)*u(t) =');

disp(F); % to display the result in the command window

w=-2*pi:pi/50:2*pi;

F1=subs(F,w); % substitute w in F function

Fmag=abs(F1); % to find magnitude

Fphas=angle(F1); % to find phase

subplot(2,1,1);

plot(w,Fmag);

xlabel('w ---->');

ylabel('Magnitude --->');

title('Magnitude spectrum');grid;

subplot(2,1,2);

plot(w,Fphas);

xlabel('w ---->');

ylabel('Phase in radians--->');

title('Phase spectrum');

grid;

RESULT:- Thus the MATLAB program to find fouries transform and ploting magnitude and

Phase spectrums is successfully completed.



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OUTPUT:-

The fourier transform of 3*exp (-t)*u (t) =3/(1+i*w)



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Experiment no-11

LAPLACE TRANSFORM

AIM: -.MATLAB program to plot the given waveform using waveform synthesis using

Laplace transform. .



.

PROCEDURE:-

Open MATLAB Software

Open new M-file

Type the program


Run the program

For the output see command window\ Figure window.

PROGRAM:-

clc;

close all;

syms s;

F =(1/(s^2))*(1-exp(-s)-(1/2)*exp(-3*s)+(1/2)*exp(-5*s));f=ilaplace(F);

pretty(simplify(f))

ezplot(f,[0,5]);

grid;

RESULT: - Thus the MATLAB program the given waveform is plotted by using wave form

synthesis

is successfully completed

OUTPUT:-



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Experiment No-12(a)

ZEROS AND POLES IN S- PLANE

AIM: -.To Write aMATLAB program to draw Pole-Zero map in S-Plane

SOFTWARE REQURIED :


.

PROCEDURE:-


Open new M-file

Type the program


Run the program


PROGRAM:-


num=input('enter the numerator polynomial vector\n'); % [1 -2 1]

den=input('enter the denominator polynomial vector\n'); % [1 6 11 6]

H=tf(num,den)

[p z]=pzmap(H);

disp('zeros are at ');

disp(z);disp('poles are at ');

disp(p);

pzmap(H);

ifmax(real(p))>=0

disp(' All the poles do not lie in the left half of S-plane ' );

disp(' the given LTI systen is not a stable system ' );

else

disp('All the poles lie in the left half of S-plane ');

disp(' the given LTI systen is a stable system ' );

end;

RESULTS: - Thusthe MATLAB program to draw pole-zero map in S-plane is successfully

completed.

OUTPUT:-

Enter the numerator polynomial vector

[1 -2 1]

Enter the denominator polynomial vector

[1 6 11 6]



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Transfer function:

s^2 - 2 s + 1

----------------------

s^3 + 6 s^2 + 11 s + 6

Zeros are at

1

1

Poles are at

-3.0000

-2.0000

-1.0000

All the poles lie in the left half of S-planeThe given LTI systen is a stable system



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Experiment no-12(b)

ZEROS AND POLES IN Z- PLANE

AIM: -.To Write aMATLAB program to draw Pole-Zero map in Z-Plane



.

PROCEDURE:-




Run the program


PROGRAM:-


num=input('enter the numerator polynomial vector \n'); %[1 0 0]

den=input('enter the denominator polynomial vector \n');%[1 1 0.16]

H=filt(num,den)

z=zero(H);

disp('the zeros are at ');

disp(z);

[r p k]=residuez(num,den);

disp('the poles are at ');

disp(p);

zplane(num,den);

title('Pole-Zero map in the Z-plane');

ifmax(abs(p))>=1

disp('all the poles do not lie with in the unit circle' );disp('hence the system is not stable');

else

disp('all the poles lie with in the unit circle');

disp('hence the system is stable');

end;

RESULTS: - Thus the MATLAB program to draw pole-zero map in S-plane is successfully

completed.



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OUTPUT:-

Enter the numerator polynomial vector

[1 0 0]

Enter the denominator polynomial vector[1 1 0.16]

Transfer function:

1--------------------

1 + z^-1 + 0.16 z^-2

The zeros are at

00

The poles are at

-0.8000-0.2000

All the poles lie with in the unit circle

Hence the system is stable



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Experiment no-13

GAUSSIAN NOISE

AIM: -.To generate a Gaussian noise and to compute its Mean, Mean Square Value, Skew,

Kurtosis,

PSD, Probability Distribution function.



.PROCEDURE:-


Open new M-file

Type the program


Run the program


PROGRAM:-


t=-10:0.01:10;

L=length(t);

n=randn(1,L);

subplot(2,1,1);

plot(t,n);

xlabel('t --->'),ylabel('amp ---->');

title('normal randon function');

nmean=mean(n);

disp('mean=');disp(nmean);

nmeansquare=sum(n.^2)/length(n);disp('mean square=');disp(nmeansquare);

nstd=std(n);

disp('std=');disp(nstd);

nvar=var(n);

disp('var=');disp(nvar);

nskew=skewness(n);

disp('skew=');disp(nskew);

nkurt=kurtosis(n);

disp('kurt=');disp(nkurt);

p=normpdf(n,nmean,nstd);

subplot(2,1,2);



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stem(n,p)

RESULTS: - Thus To generate Gaussian noise and to compute its Mean, Mean Square

Value,

Skew, Kurtosis, PSD, Probability Distribution function is performed.

OUTPUT:-

Mean=

9.2676e-004

Mean square=

0.9775

STD=

0.9889

Var=

0.9780

Skew=

-0.0091

Kurt=

2.9520



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Experiment No-14

SAMPLING THEOREM

AIM: -.To generate a MATLAB Program to verify sampling theorem.



.

PROCEDURE:- Open MATLAB Software

Open new M-file

Type the program


Run the program


PROGRAM:-

clc;

close all;clearall;

f1=3;

f2=23;

t=-0.4:0.0001:0.4;

x=cos(2*pi*f1*t)+cos(2*pi*f2*t);

figure(1);

plot(t,x,'-.r');

xlabel('time-----');

ylabel('amp---');

title('The original signal');

%case 1: (fs


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%case 2: (fs=2fm)

fs2=2*f2;

ts2=1/fs2;

n2=-0.4:ts2:0.4;xs2=cos(2*pi*f1*n2)+cos(2*pi*f2*n2);

figure(3);

stem(n2,xs2);

hold on;

plot(t,x,'-.r');

hold off;

legend('fs=2fm');

%case 3: (fs>2fm)

fs3=7*f2;

ts3=1/fs3;

n3=-0.4:ts3:0.4;xs3=cos(2*pi*f1*n3)+cos(2*pi*f2*n3);

figure(4);

stem(n3,xs3);

hold on;

plot(t,x,'-.r');

hold off;

legend('fs>2fm');

RESULTS:-Thus the MATLAB program to verify Sampling theorem is performed.



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OUTPUT



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Experiment no-15

AUTO-CORRELATION/CROSS-CORRELATION

AIM: -.To write a program to detect the periodic signal by Noise using Auto correlation and

Cross Correlation method.



.

PROCEDURE:-


Open new M-file

Type the program


Run the program


PROGRAM:-

clc;

clearall;

close all;

t=0:0.01:10;

s=cos(2*pi*3*t)+sin(2*pi*5*t); % periodic signal

figure;

subplot(2,1,1);

plot(t,s);

axis([0 10 -2 2]);

xlabel(' t ---->'),ylabel(' amp ----> ');

title('the periodic signal');

L=length(t);

n=randn(1,L); % noise signalsubplot(2,1,2);

plot(t,n);


title('the noise signal');

L=length(t);

f=s+n; % received signal

figure;

subplot(2,1,1);

plot(t,f);


title('the received signal');rxx=xcorr(f,s,200);



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subplot(2,1,2);

plot(rxx);

title('the Correlator output');

RESULTS: - Thus the MATLAB Program to detect the periodic signal masked by noise

using

Auto Correlation &Cross Correlation method is performed.

OUTPUT



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