An LTI system has an impulse response h(t) for which the Laplace transform H(s is 1 H(s) = | h(t)e -"dt Re{s} > -1 %3D s + 1 Determine the system output y(t) for all t if the input x(t) is given by -t/2 x(t) : = e + 2e-1/3 for all t.
An LTI system has an impulse response h(t) for which the Laplace transform H(s is 1 H(s) = | h(t)e -"dt Re{s} > -1 %3D s + 1 Determine the system output y(t) for all t if the input x(t) is given by -t/2 x(t) : = e + 2e-1/3 for all t.
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![An LTI system has an impulse response h(t) for which the Laplace transform H(s)
is
+00
1
H(s)
h(t)e -"dt =
Re{s} > -1
s + 1
-00
Determine the system output y(t) for all t if the input x(t) is given by
x(t)
= e
-t/2
+ 2e-/3
for all t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc46a63f9-0392-4525-8d9c-14934d41c515%2F85a84228-61fd-4bd1-9aaf-8d40b25907c2%2Fp2p33dvj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An LTI system has an impulse response h(t) for which the Laplace transform H(s)
is
+00
1
H(s)
h(t)e -"dt =
Re{s} > -1
s + 1
-00
Determine the system output y(t) for all t if the input x(t) is given by
x(t)
= e
-t/2
+ 2e-/3
for all t.
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