Question

please  I need the final answer and steps by using MATLAB and please clear answer.

Find y(t) for each paired x() and hin Fig. 15.37. h(t) x(t) 0 0 h(t) x(t) 2e-T h(t) x(t) 0

Answer 1

MATLAB code is given below in bold letters.

clc;
close all;
clear all;

% Question a

% define time vector
t = 0:0.01:10; % 10 seconds of time vector

% define x
x = (t>=0)-(t>=1);

% define h
h = ((t>=0)-(t>=1)).*t + 1*(t>1);

% compute and plot the convolution
y = conv(x,h)*0.01;

% plot the response
figure;
plot(min(t):0.01:2*max(t),y,'linewidth',2);xlim([0 10]);
xlabel('time');ylabel('Amplitude');title('y(t)');
grid on;ylim([0 1.5]);

9 8 6 5 4 3 2 0 0 5 apnl!lduy

% Question b
clear all;
% define time vector
t = 0:0.01:10; % 10 seconds of time vector

% define x
x = (t>=0);

% define h
h = 2*exp(-t) ;

% compute and plot the convolution
y = conv(x,h)*0.01;

% plot the response
figure;
plot(min(t):0.01:2*max(t),y,'linewidth',2);xlim([0 10]);
xlabel('time');ylabel('Amplitude');title('y(t)');
grid on;%ylim([0 1.5]);

y(t) 2.5 2 ao 1.5 0.5 0 0 123 4 5 67 8 9 10 time

% Question c
clear all;
% define time vector
t = -10:0.01:10; % 10 seconds of time vector

% define x
x = ((t>=-1) - (t>=1));

% define h
h = ((t>=0) - (t>=1)).* t + ((t>1) - (t>=2)).*(-t+2);

% compute and plot the convolution
y = conv(x,h)*0.01;

% plot the response
figure;
plot(2*min(t):0.01:2*max(t),y,'linewidth',2);xlim([0 10]);
xlabel('time');ylabel('Amplitude');title('y(t)');
grid on;%ylim([0 1.5]);

9 8 7 6 5 4 3 2 7 1987 0 6 0 2 0, 3 0 apnl!!duy