The document outlines various MATLAB programs developed by Alamgir Hossain to evaluate the impulse response of systems, compute Discrete Fourier Transforms (DFT), and generate different basic signals, including sine, cosine, unit impulse, unit step, unit ramp, and exponential signals. Each program includes objectives, requirements, source code, and discussions on the results obtained. The overall aim is to demonstrate the practical applications and theoretical understanding of signal processing using MATLAB.

1. 1
Alamgir Hossain, CSE, JUST
Name of the Problem:
To write a Matlab program to evaluate the impulse response of the system. Objective:
To write a MATLAB program to evaluate the impulse response of the system using MATlab. Requirements:
Operating System - Windows XP
Constructor - Simulator
Software - CCStudio 3 & MATLAB 7.5
Source Program :
% Difference equation of a second order system % y(n)
= x(n)+0.5x(n-1)+0.85x(n-2)+y(n-1)+y(n-2)
b=input('enter the coefficients of x(n),x(n-1)-----');
a=input('enter the coefficients of y(n),y(n-1)----');
N=input('enter the number of samples of imp response ');
[h,t]=impz(b,a,N);
subplot(2,1,1); % figure(1);
plot(t,h); title('plot of impulse
response'); ylabel('amplitude');
xlabel('time index----->N');
subplot(2,1,2); % figure(2);
stem(t,h);
title('plot of impulse response');
ylabel('amplitude');
xlabel('time index----->N');
disp(h); grid on;
Input and Output :
Enter the coefficients of x(n),x(n-1)-----[1 0.5 0.85] enter the coefficients of y(n),y(n-1)-----[1 -1 -1] enter the
number of samples of imp respons 4
1.0000
1.5000

2. 2
3.3500
4.8500
Figure : impulse response of the system
Result & Discussion :
The impulse response of given Differential equation is obtained. Hence the theory and practical value are
proved.
Name of the Problem:
Computation of N point DFT of a given sequence and to plot magnitude and phase spectrum.
Objective:

3. 3
To Computation of N point DFT of a given sequence and to plot magnitude and phase spectrum.
Requirements:
Operating System - Windows XP
Constructor - Simulator
Software - CCStudio 3 & MATLAB 7.5
Source Program:
N = input('Enter the the value of N(Value of N in N-Point DFT)');
x = input('Enter the sequence for which DFT is to be calculated');
n=[0:1:N-1]; k=[0:1:N-1];
WN=exp(-1j*2*pi/N); % twiddle factor nk=n'*k;
WNnk=WN.^nk;
Xk=x*WNnk;
MagX=abs(Xk) % Magnitude of calculated DFT
PhaseX=angle(Xk)*180/pi % Phase of the calculated DFT figure(1);
subplot(2,1,1); plot(k,MagX); subplot(2,1,2); plot(k,PhaseX);
Input and Output :
Enter the the value of N(Value of N in N-Point DFT)4 Enter the sequence for which DFT is to be calculated [1
2 3 4]
MagX = 10.0000 2.8284 2.0000 2.8284
PhaseX = 0 135.0000 -180.0000 -135.0000
DFT of the given sequence is
10.0000 -2.0000 + 2.0000i -2.0000 - 0.0000i -2.0000 - 2.0000i

4. 4
Figure : N point DFT
Result & Discussion:
The DFT of given sequence is obtained. Hence the theory and practical value are proved.
Name of the Problem:
To Generate continuous time sinusoidal signal, discrete time cosine signal.
Objective:

5. 5
To Generate continuous time sinusoidal signal, Discrete time cosine signal using Matlab.
Requirements:
Computer with MATLAB software.
Source Program:
% Program start for Continuous time sigusoinal---------
t=-pi:.01:pi; y= sin(2*pi*t); subplot(2,1,1); plot(t,y);
ylabel('amp...'); xlabel('(a)n...'); title('Continuous Time
Sinusoidal ignal')
%Program for Discrete time cosine signal :
t=-pi:.03:pi/3; y=
cos(2*pi*t);
subplot(2,1,2);
stem(t,y);
xlabel('a(n)');
ylabel('Amplitude');
title('Discrete Time Cosine Signal');
Input and Output :

6. 6
Figure : continuous time sinusoidal signal, Discrete time cosine signal
Result & Discussion:
Continuous time sinusoidal signal, discrete time cosine signal and sum of sinusoidal signal is designed.

7. 7
Name of the Problem:
To find the DFT / IDFT of given signal.
Objective:
To find the DFT / IDFT of given signal using Matlab.
Requirements:
Operating System - Windows XP
Constructor - Simulator
Software - CCStudio 3 & MATLAB 7.5
Source Program:
%DFT of a given Signal---------
w = [0:500]*pi/500; z = exp(-
j*w); x = 3*(1-0.9*z).^(-1); a =
abs(x); b = angle(x)*180/pi;
subplot(2,1,1); plot(w/pi,a);
subplot(2,1,2); plot(w/pi,b);
Input and Output :

8. 8
Figure: DFT Signal
Result and Discussion:
The DFT of given sequence is obtained. Hence the theory and practical value are proved.

9. 9
Name of the Problem:
Program for generation of Sine sequence.
Objective:
To generate sine sequence using Matlab.
Requirements:
Computer with MATLAB software.
Source Program:
%program to generate sine wave sequence
f= input('Please enter the frequency in hertz of the sine wave : ');
t=0:.0001:5; y=sin(2*pi*f*t); plot(t,y); ylabel ('Amplitude');
xlabel ('Time Index'); title ('Sine wave');
Input and Output:

10. 10
Figure : sine sequence
Result and Discussion:
For the following above Sine sequence code the output picture is generated.

11. 11
Name of the Problem:
Program for generation of Cosine sequence.
Objective:
To generate Cosine sequence using Matlab.
Requirements:
Computer with MATLAB software.
Source Program:
%program to generate cosine wave f= input('Enter the
frequency in hertz of the Cosine wave : '); t=0:.0001:5;
y=cos(2*pi*f*t); plot(t,y); ylabel ('Amplitude'); xlabel
('Time Index'); TITLE ('cosine wave');
Input and Output:

12. 12
Figure : Cosine sequence
Result & Discussion:
For the following above Cosine sequence code the output picture is generated.
Name of the Problem:
Program for the generation of UNIT impulse signal Objective:

13. 13
To generate basic signals like unit impulse signals using MATLab.
Source Program:
t=-2:1:2;
y=[zeros(1,2),ones(1,1),zeros(1,2)];
subplot(2,2,1); stem(t,y);
title('Unit Impulse');
Input and Output:
Figure: Unit Impulse Signals Result
and Discussion:
For the following above unit impulse signal code the output picture is generated.
Name of the Problem:
Program for the generation of UNIT step signal Objective:
To generate basic signals like unit step signals using MATLab.
Source Program:

14. 14
n=input('enter the n value');
t=0:1:n-1; y=ones(1,n);
subplot(2,2,2); stem(t,y);
title('Unit Step');
Input and Output:
Figure: Unit Step signal Result
and Discussion:
For the following above unit step source code the output unit step signal is generated
Name of the problem:
Program for the generation of unit RAMP signal Objective:
To generate basic signals like unit RAMP signals using MATLab.
Source Program:
clc; close all; clear all;
n=input('Enter the n value');
t=0:n; y=ones(1,n);

15. 15
figure(3) subplot(2,2,3);
stem(t,t); title('unit ramp');
Input and Output:
Figure: unit RAMP signals Result
and Discussion:
For the following above source code the output unit RAMP signal is generated using in MATLab.
Name of the Problem:
Program for the generation of Exponential signal. Objective:
To generate basic signals like Exponential signals using MATLab.
Source Program:
clc; close all; clear all; n=input('The
length of i/p sequency'); t=0:n
a=input('Enter the a value');
y=exp(a*t); subplot(2,2,4);
stem(t,y); xlabel('x-axis'); ylabel('y-
axis'); title('Unit exponential');

16. 16
Input and Output:
The length of i/p sequence: 5
Enter the value of a: 1
Figure: Exponential signals Result
and Discussion:
For the following above source code the output unit Exponential signal is generated using in MATLab.

17. 17
Md. Alamgir Hossain
Department of Computer Science & Engineering
Jessore University of Science and Technology
Mail : Alamgir.cse14.just@gmail.com
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