Determine an analytical expression for the unit step response s(t) of the cascade (series) combination of LT-I two systems with the following impulse responses: h₁ (t) = e¯tu (t) h₂ (t) = e−¹u (t) in other words, assume the following signal is applied to the input of system h1 x(t) = u(t) The output of system h₁ is connected to the input of system h₂. Enter the numeric values for all the coefficients missing in the output of system h2: y2 (t) = A8 (t) + Bu (t) + Ctu (t) + De¯u (t) + Ete-*u (t) 8(t) *x(t) = x(t) u (t)u(t) = r (t) = tu (t) u (t) * e¯atu (t) = (1-e) u (t) e-atu (t) eatu(t) = te¯atu (t) rect (t) *rect (t) = tri (½)
Determine an analytical expression for the unit step response s(t) of the cascade (series) combination of LT-I two systems with the following impulse responses: h₁ (t) = e¯tu (t) h₂ (t) = e−¹u (t) in other words, assume the following signal is applied to the input of system h1 x(t) = u(t) The output of system h₁ is connected to the input of system h₂. Enter the numeric values for all the coefficients missing in the output of system h2: y2 (t) = A8 (t) + Bu (t) + Ctu (t) + De¯u (t) + Ete-*u (t) 8(t) *x(t) = x(t) u (t)u(t) = r (t) = tu (t) u (t) * e¯atu (t) = (1-e) u (t) e-atu (t) eatu(t) = te¯atu (t) rect (t) *rect (t) = tri (½)
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![Determine an analytical expression for the unit step response s(t) of the cascade (series) combination of LT-I two systems with the following impulse responses:
h₁ (t) = e¯tu (t)
h₂ (t) = e−¹u (t)
in other words, assume the following signal is applied to the input of system h1
x(t) = u(t)
The output of system h₁ is connected to the input of system h₂.
Enter the numeric values for all the coefficients missing in the output of system h2:
y2 (t) = A8 (t) + Bu (t) + Ctu (t) + De¯u (t) + Ete-*u (t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F940fea84-314a-4cf2-b65e-4e6cbd95cd4c%2F08270c86-956b-410c-9ba8-3c7c6a0a159c%2Ftn0nzo5_processed.png&w=3840&q=75)
Transcribed Image Text:Determine an analytical expression for the unit step response s(t) of the cascade (series) combination of LT-I two systems with the following impulse responses:
h₁ (t) = e¯tu (t)
h₂ (t) = e−¹u (t)
in other words, assume the following signal is applied to the input of system h1
x(t) = u(t)
The output of system h₁ is connected to the input of system h₂.
Enter the numeric values for all the coefficients missing in the output of system h2:
y2 (t) = A8 (t) + Bu (t) + Ctu (t) + De¯u (t) + Ete-*u (t)
![8(t) *x(t) = x(t)
u (t)u(t) = r (t) = tu (t)
u (t) * e¯atu (t) = (1-e) u (t)
e-atu (t) eatu(t) = te¯atu (t)
rect (t) *rect (t) = tri (½)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F940fea84-314a-4cf2-b65e-4e6cbd95cd4c%2F08270c86-956b-410c-9ba8-3c7c6a0a159c%2Fwsqdiv_processed.png&w=3840&q=75)
Transcribed Image Text:8(t) *x(t) = x(t)
u (t)u(t) = r (t) = tu (t)
u (t) * e¯atu (t) = (1-e) u (t)
e-atu (t) eatu(t) = te¯atu (t)
rect (t) *rect (t) = tri (½)
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