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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a The convolution integral gives yt rt rt 25 rt 35 rt 6 See Fig 92 F...View the full answer
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