Problem 1. (D01) Given the impulse responses of CT-LTI systems as shown below, investigate the corresponding systems in terms of (i) causality, (ii) memory-less property and (vii) BIBO stability. L1 : h1(t) = p(t; -1,3) L2 : h2(t) = e'u(-t) L3 : h3(t) = 6(t+1) – 6(t – 1) (la) (1b) (lc) Itl

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Problem 1. (D01) Given the impulse responses of CT-LTI systems as shown below, investigate
the corresponding systems in terms of (i) causality, (ii) memory-less property and (vii) BIBO
stability.
L1 : h1(t) = p(t; –1,3)
L2 : h2(t) = e'u(-t)
L3 : h3(t) = 6(t + 1) – 6(t – 1)
(la)
(1b)
(1c)
L4 : h4(t) = e-le|
L5 : h5(t) = (t – 1)²6(t)
(1d)
(le)
where p(t; t1, t2) A u(t – ti) – u(t – t2) is the unit pulse signal.
Transcribed Image Text:Problem 1. (D01) Given the impulse responses of CT-LTI systems as shown below, investigate the corresponding systems in terms of (i) causality, (ii) memory-less property and (vii) BIBO stability. L1 : h1(t) = p(t; –1,3) L2 : h2(t) = e'u(-t) L3 : h3(t) = 6(t + 1) – 6(t – 1) (la) (1b) (1c) L4 : h4(t) = e-le| L5 : h5(t) = (t – 1)²6(t) (1d) (le) where p(t; t1, t2) A u(t – ti) – u(t – t2) is the unit pulse signal.
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