The input of an LTI continuous-time system is x(t) = u(t) u(t 3.5). The systems

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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 convo-lution 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 s/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.

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