close all
clear all 
clc

T = 0.01;
tx = -1:T:3;
x = rect(tx-1);
tg = -1:T:3;
g = rect(tg-1);
y = T*conv(x,g);
ty = tx(1)+tg(1):T:tx(end)+tg(end);
y2 = triang(ty-2);

figure
subplot(2,2,1)
plot(tx,x)
grid
xlabel('t')
ylabel('x(t)')
subplot(2,2,2)
plot(tg,g)
grid
xlabel('t')
ylabel('g(t)')
subplot(2,1,2)
plot(ty,y,ty,y2)
grid
xlabel('t')
ylabel('y(t)=x*g(t)')
legend('via MatLab','true signal')
sgtitle('continuous-time convolution')

% printing figure in png format
set(gcf,'PaperUnits','inches','PaperPosition',[0 0 4 3])
print -dpng exercise2.png -r100

function s = triang(t)
s = (abs(t)<1).*(1-abs(t));
end

function s = rect(t)
s = (abs(t)<.5)+.5*(abs(t)==.5);
end