Two LTI systems with impulse responses h₁ [n] and h₂[n] are connected as follows to create a new LTI system: x[n] + h₁ [n] ►y[n] h₂ [n] Find the system function H(2) for the overall system whose input is a[n] and output is y[n]. Express your answer in terms of H₁ (2) and H₂(2).
Two LTI systems with impulse responses h₁ [n] and h₂[n] are connected as follows to create a new LTI system: x[n] + h₁ [n] ►y[n] h₂ [n] Find the system function H(2) for the overall system whose input is a[n] and output is y[n]. Express your answer in terms of H₁ (2) and H₂(2).
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![Two LTI systems with impulse responses h₁ [n] and he[n] are connected as follows
to create a new LTI system:
x[n]-
+
h₁ [n]
►y[n]
h₂ [n]
Find the system function H(2) for the overall system whose input is x[n] and output is y[n].
Express your answer in terms of H₁ (2) and H₂(2).
Hint: This problem is a little bit different than ones we have solved before, but there is a
straightforward solution with the techniques we have developed. Think about whether it is
easiest to solve this in the time domain, z-domain, or frequency domain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc012e98d-11f3-4ebf-9e91-31a87ace6c91%2F4c7c0f97-c519-4d55-9c47-ca64b90d87af%2F59k6i3n_processed.png&w=3840&q=75)
Transcribed Image Text:Two LTI systems with impulse responses h₁ [n] and he[n] are connected as follows
to create a new LTI system:
x[n]-
+
h₁ [n]
►y[n]
h₂ [n]
Find the system function H(2) for the overall system whose input is x[n] and output is y[n].
Express your answer in terms of H₁ (2) and H₂(2).
Hint: This problem is a little bit different than ones we have solved before, but there is a
straightforward solution with the techniques we have developed. Think about whether it is
easiest to solve this in the time domain, z-domain, or frequency domain.
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