Use the convolution integral to find the response y(t) of the LTI system with impulse response h(t) and input signal x(t) given as follows: h(t) = e^(-2u(t)) and x(t) = u(t) - u(t-2). Sketch y(t). Determine the values of the output y(t) and complete Table 1 by giving the numerical values of y(t) for t = 0, 1, 2, 3, 4, and 8.
Table 1: Numerical values of the output y(t)
t | y(t)
--------------
0 |
1 |
2 |
3 |
4 |
8 |