Question

Use Matlab to create: Step continuous signal at any starting time, Ramp continuous signal at any starting time, Add and subtract two signals, Shifted signals by any time

Answer 1

clc,clear, close all

%% Step continuous signal at any starting time t0
u = @(t,t0) t>=t0;

%% Ramp continuous signal at any starting time t0
r = @(t,t0) (t-t0).*(t>t0);

%% plotting step signal
%
t = -10:0.1:10; % time vector
t0 = 0; % starting at 0
figure
plot(t,u(t,t0))
xlabel('t'),ylabel('u(t,t_0)')
title(['t_0 = ' num2str(t0)])
%% plotting ramp signal
%
t = -10:0.1:10; % time vector
t0 = 0; % starting at 0
figure
plot(t,r(t,t0))
xlabel('t'),ylabel('r(t,t_0)')
title(['t_0 = ' num2str(t0)])
%% add two signals
%
t = -10:0.1:10; % time vector
% adding shifted step and ramp
a = 2; % t0 for ramp
b = -2; % t0 for step
y = r(t,a) + u(t,b);
figure
plot(t,y)
xlabel('t'),ylabel('y')
title(['y = r(t, ' num2str(a) ') + u(t, ' num2str(b) ')'])
%% subtract two signals
%
t = -10:0.1:10; % time vector
% substracting shifted step from ramp
a = 1; % t0 for ramp
b = -1; % t0 for step
z = r(t,a) - u(t,b);
figure
plot(t,z)
xlabel('t'),ylabel('z')
title(['z = r(t, ' num2str(a) ') + u(t, ' num2str(b) ')'])

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