MAT LAB CODING

Generation of a Unit Sample Sequence

In Put Out Put

clf;

n=-10:20;
%Generate a vector from -10 to 20
% Generate the unit sample sequence
% Plot the unit sample sequence

u=[zeros(1,10) 1 zeros(1,20)];

stem(n,u);                     

xlabel('Time index n');ylabel('Amplitude');

title('Unit Sample Sequence');

axis([-10 20 0 1.2]);

Out Put

Generation of a complex exponential sequence

Input 

clf;

c=-(1/12)+(pi/6)*i;

K=2;

n=0:40;

x=K*exp(c*n);

subplot(2,1,2);

stem(n,real(x));

xlabel('Time index n');

ylabel('Amplitude');

title('Real part');

subplot(2,1,1);

stem(n,imag(x));

xlabel('Time index n');

ylabel('Amplitude');

title('Imaginary part');

 Output

Generation of a real exponential sequence

Input

clf;

n=0:25;

a=1.2;  

K=0.2;

x=K*a.^n;

stem(n,x);

xlabel('Time index n');

ylabel('Amplitude');

Output  

 

Generation of a sinusoidal sequence

Input 

n=0:40;

f=0.1;         

phase=0;           

A=2;           

arg=2*pi*f*n-phase;

x=A*cos(arg);

clf;                % Clear old graph

stem(n,x);          % Plot the generated sequence

axis([0 50 -3 2]);

grid;

title('Sinusoidal Sequence');

xlabel('Time index n');

ylabel('Amplitude');

axis;

Output

Study the CT (continuous time) and DT (discrete time) sine signal:

 MATLAB command for continuous time sine signal:

A=4;

a=20*pi;

phi=pi/6;

t=0:.001:1;

sine=A*sin(a*t+phi);

plot(t,sine)

Out Put:

MATLAB command for discrete time sine signal:

Mat Lab Code:

A=1;

omega=2*pi/12;  % angular frequency

n=-10:10;

y=A*sin(omega*n);          

stem(n,y)

Out Put:

Study the CT (continuous time) and DT (discrete time) cosine signal

MATLAB command for continuous time cosine signal:

Mat Lad Code:

A=4;

a=20*pi;

phi=pi/6;

t=0:.001:1;

cosine=A*cos(a*t+phi);

plot(t,cosine)

Out Put:

MATLAB command for discrete time cosine signal:

Mat Lab Code:

A=1;

omega=2*pi/12;  % angular frequency

n=-10:10;

y=A*cos(omega*n);

stem(n,y)

Out Put: