AIM: Study and Implementation of Plot and Stem
Command.
THEORY:
1.
For ‘STEM’ Command:
A discrete time signal has a value defined
only at discrete points in time in these signals the independent variables
takes only a discrete set of integer values.
e.g. Attendance of students Vs date
(time)
Representation of DT sequence:
Unit Step:
A
discrete unit step is denoted as u(n) and is mathematically defined as
The
DT unit step signal is shown is fig,
Unit Impulse:
The
discrete time unit impulse is denoted as
and is mathematically defined as
The
DT unit impulse signal is shown in fig.
Sinusoidal:
The
discrete time sinusoidal is denoted as
and is mathematically defined as
The
DT unit sine signal is shown in fig.
Unit Ramp:
The
discrete time unit ramp is denoted as
and is mathematically defined as
The
DT unit ramp signal is shown in fig.
Exponential Growing:
The
discrete time Exponential growing is denoted as
and is defined as
The
DT Exponential growing signal is shown in fig.
Exponential Decaying:
The
discrete time Exponential decaying is denoted as
and is defined as
The
DT Exponential decaying signal is shown in fig.
2. For ‘PLOT’ Command:
Similarly like Stem command plot command
having same concept. Instead of stem just use Plot command for getting
continuous signals.
Syntax for plot:
Plot(x coordinate values, y coordinate values).
PORCEDURE:
1. Define samples on x axis.
2. Define amplitude on y axis according
to each and every signal.
3. Using stem function just discretize x axis
and use plot signal for getting continuous signal.
4. Give xlabel, ylabel and title.
1. Plot Command Implementation:
Program:
% Implementation of Plot Command
%sine Wave
x=0:0.001:10;
y=sin(x);
subplot(3,2,1)
plot(x,y);grid on
title('Sine Wave')
%cos wave
y1=cos(x);
subplot(3,2,2)
plot(x,y1);grid on
title('Cosine Wave')
%Exponential Growing Wave
y2=exp(x);
subplot(3,2,3)
plot(x,y2);grid on
title('Exponential
Growing Wave')
%Exponential Decaying Wave
y3=exp(-x);
subplot(3,2,4)
plot(x,y3);grid on
title('Exponential
Decaying Wave')
%Exponential Decaying Wave
y4=x;
subplot(3,2,5)
plot(x,y4);grid on
title('Ramp Signal')
2. Stem Command Implementation:
Program:
% Implementation of Discrete signals
% Sine wave
x=0:1:20;
y=sin(x);
subplot(3,2,1)
stem(x,y);grid on
title('Sine Wave')
%cos wave
y1=cos(x);
subplot(3,2,2)
stem(x,y1);grid on
title('Cosine Wave')
%Exponential Growing Wave
y2=exp(x);
subplot(3,2,3)
stem(x,y2);grid on
title('Exponential
Growing Wave')
%Exponential Decaying Wave
y3=exp(-x);
subplot(3,2,4)
stem(x,y3);grid on
title('Exponential
Decaying Wave')
%Exponential Decaying Wave
y4=x;
subplot(3,2,5)
stem(x,y4);grid on
title('Ramp Signal')
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