Question

3. Sketch stuff (by hand or by computer) 3.1 Systems signals The signal x()-sin^t), for 0stsl; is applied to a circuit with an impulse response given by h(t)-2, for Osts1. Sketch these signals and the output of the circuit If the input signal is now set to x()-6(t-3), sketch the input and output signals. (3.2)

Answer 1

(3.1) Let draw the signals using computer through MATLAB

MATLAB CODE:

clc
clear all
close all

t = -2:0.01:2;
m = 2*length(t)-1;      % Length of Output y(t)
n = linspace(-2,2,m);

u1 = t >= 0;
u2 = t >= 1;

x = sin(pi.*t).*(u1-u2); % Input x(t)
h = 2.*(u1-u2);          % Impulse h(t)
y = conv(x,h);           % Output y(t)

subplot(3,1,1)
plot(t,x,'k','LineWidth',2)
xlabel('t')
title('x(t)')
grid on

subplot(3,1,2)
plot(t,h,'k','LineWidth',2)
xlabel('t')
title('h(t)')
grid on

subplot(3,1,3)
plot(n,y,'k','LineWidth',2)
xlabel('t')
title('y(t)')
grid on

OUTPUT:

x(t) 0.8 0.6 0.4 0.2 0 2 0.5 0.5 5 2 h(t) 2 0.5 0 2 0.5 0.5 2 y(t) 140 120 100 0.5 0.5 2 2