EXPERIMENT - 5

AIM

To plot Continuous and Discrete Unit Ramp Function in MATLAB.

THEORY

The ramp function is a unary real function, easily computable as the mean of the independent variable and its absolute value. $R(x) = \begin{cases} x & \text{if } x \geq 0 \\ 0 & \text{if } x < 0 \end{cases}$

MATLAB COMMANDS USED

* plot(x,y,color,properties)
* heaviside(t);
* stem(x)

MATLAB CODE

%The Code is for continuous unit ramp
t=-1:0.01:1;
y=heaviside(t).*t;
subplot(2,1,1);
plot(t,y,'b');
xlabel('time in seconds');
ylabel('y(t)');
title('Plot of  continuous  unit ramp 
function from -1 to 1');

%Discrete unit ramp
n = -20:1:20;
y_n= heaviside(.05*n).*n;
subplot(2,1,2);
stem(n,y_n,'b','filled');
xlabel('n i.e. Sample number');
ylabel('y(n)');
title('Plot of  discrete unit ramp function 
from -1 to 1 with 41 samples');

print('Unit Ramp','-dpng')

RESULT

The Continuous and Discrete versions of Unit Ramp Function has been plotted.