Question

2. a. Use the Fourier integral to find and plot the magnitude response $|H(\omega)|$ of the system with the following impulse response $h(t)$. $h(t) = 3[u(t+2) - u(t - 8)]$ (30 points) b. Is this system causal? Explain. (5 points) C. Is this system stable? Why? (5 points)

          2. a. Use the Fourier integral to find and plot the magnitude response \(|H(\omega)|\) of the system
with the following impulse response $h(t)$.
$h(t) = 3[u(t+2) - u(t - 8)]$
(30 points)
b. Is this system causal? Explain.
(5 points)
C. Is this system stable? Why?
(5 points)

2. a. Use the Fourier integral to find and plot the magnitude response |H(ω)| of the system
with the following impulse response h(t).
h(t) = 3[u(t+2) - u(t - 8)]
(30 points)
b. Is this system causal? Explain.
(5 points)
C. Is this system stable? Why?
(5 points)

Added by Melanie A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dwijendra Rao

Step 1

In this case, the output is given by the equation ht=3[ut+2-ut-8]. If we analyze the equation, we can see that the output at time t depends on the input at time t and the input at time t-8. This means that the output depends on both current and past inputs. Show more…

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Thanks for your feedback!

NEVLOLEECIMICV 30 points ht=3[ut+2-ut-8] oo lo borierp inoliostg eeu wmoiee b. Is this system causal? Explain (5 points) C. Is this system stable? Why (5 points)