Question 03: a) - The following RC circuit is described by a constant coefficient differential equation. v,(t) v,(t) Evc(t) Output Input dv,(t) dt dv,(t) = RC dt RC- + v,(t) = Assuming the behavior of this circuit as an LTI system, Identify its frequency response. b) - As chief engineer of the project, you are assigned to study the acoustics of an auditorium. (You may do so by identifying the frequency response). From recording equipment placed at the center o auditorium, it is identified that the same test (input) signal is received in addition to a delayed version tha is half the amplitude of test (input) signal, and the delay is 1 second. In short, the impulse response i given as: h(t) = 8(t) + 0. 58(t – 1) Identify the frequency response of the auditorium.

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Question 03: a) - The following RC circuit is described by a constant coefficient differential equation.
v,(t)
v,(t)
vc(t)
Output
Input
„dv,(t)
RC
dt
dv,(t)
+ v,(t) = RC-
dt
Assuming the behavior of this circuit as an LTI system, Identify its frequency response.
b) - As chief engineer of the project, you are assigned to study the acoustics of an auditorium. (You may
do so by identifying the frequency response). From recording equipment placed at the center of
auditorium, it is identified that the same test (input) signal is received in addition to a delayed version that
is half the amplitude of test (input) signal, and the delay is 1 second. In short, the impulse response is
given as:
h(t) = 8(t) + 0.58(t – 1)
Identify the frequency response of the auditorium.
Transcribed Image Text:Question 03: a) - The following RC circuit is described by a constant coefficient differential equation. v,(t) v,(t) vc(t) Output Input „dv,(t) RC dt dv,(t) + v,(t) = RC- dt Assuming the behavior of this circuit as an LTI system, Identify its frequency response. b) - As chief engineer of the project, you are assigned to study the acoustics of an auditorium. (You may do so by identifying the frequency response). From recording equipment placed at the center of auditorium, it is identified that the same test (input) signal is received in addition to a delayed version that is half the amplitude of test (input) signal, and the delay is 1 second. In short, the impulse response is given as: h(t) = 8(t) + 0.58(t – 1) Identify the frequency response of the auditorium.
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