The input of an LTI continuous-time system is x(t) = u(t) - u(t – 3.5). The system’s impulse response is h(t) = u(t) - u(t – 2.5).

(a) Find the system’s output y(t) by graphically computing the convolution integral of x(t) and h(t). Sketch x(t), h(t) and the found y(t).

(b) Suppose we sample x(t), h(t) and y(t) using a sampling period Ts = 0:5 sec/sample.

Sketch these sampled signals as functions of n.

(c) Graphically calculate the convolution sum of x[n] and h[n], and compare it to y(t). Explain your results.