a) Consider the system shown in Figure 3(a). An input signal vm(t) is multiplied by a complex exponential signal ei107zt. The output signal v,(t) is fed into a low pass filter (LPF) with cut-off frequency wc. The input signal Vm(@) and the output signal V.(w) are as shown in Figure 3(b) and (c), respectively. i. Write the mathematical equation for signal in Figure 3(b). ii. Sketch signal, V,(w). iii. Based on the given V.(@), write the mathematical expression of the LPF, H(@) and state its cut off frequency, wc. iv. Sketch the output of LPF, V.(@), if the cut off frequency of LPF is 10n.
a) Consider the system shown in Figure 3(a). An input signal vm(t) is multiplied by a complex exponential signal ei107zt. The output signal v,(t) is fed into a low pass filter (LPF) with cut-off frequency wc. The input signal Vm(@) and the output signal V.(w) are as shown in Figure 3(b) and (c), respectively. i. Write the mathematical equation for signal in Figure 3(b). ii. Sketch signal, V,(w). iii. Based on the given V.(@), write the mathematical expression of the LPF, H(@) and state its cut off frequency, wc. iv. Sketch the output of LPF, V.(@), if the cut off frequency of LPF is 10n.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![a) Consider the system shown in Figure 3(a). An input signal vm(t) is multiplied by a
complex exponential signal e10nt The output signal v,(t) is fed into a low pass filter
(LPF) with cut-off frequency wc. The input signal Vm(@) and the output signal V.(@) are
as shown in Figure 3(b) and (c), respectively.
i. Write the mathematical equation for signal in Figure 3(b).
ii. Sketch signal, V,(@).
iii. Based on the given V, (w), write the mathematical expression of the LPF, H(@) and
state its cut off frequency, wc.
iv. Sketch the output of LPF, V(@), if the cut off frequency of LPF is 10.
v:(t)
LPF
Vm(t)
vo(t)
H(@)
ej10nt
(а)
|Vm (@)|
IV,(@)|
10
8
6.
3
-20715T-10T-5n
5n 10n 15n 20n
-57
(b)
Figure 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49e79750-2f27-45e5-a9e1-b8e7633d258f%2F36f7dffb-d012-4f2b-8347-5b0c17eb1350%2F0ymhsk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Consider the system shown in Figure 3(a). An input signal vm(t) is multiplied by a
complex exponential signal e10nt The output signal v,(t) is fed into a low pass filter
(LPF) with cut-off frequency wc. The input signal Vm(@) and the output signal V.(@) are
as shown in Figure 3(b) and (c), respectively.
i. Write the mathematical equation for signal in Figure 3(b).
ii. Sketch signal, V,(@).
iii. Based on the given V, (w), write the mathematical expression of the LPF, H(@) and
state its cut off frequency, wc.
iv. Sketch the output of LPF, V(@), if the cut off frequency of LPF is 10.
v:(t)
LPF
Vm(t)
vo(t)
H(@)
ej10nt
(а)
|Vm (@)|
IV,(@)|
10
8
6.
3
-20715T-10T-5n
5n 10n 15n 20n
-57
(b)
Figure 3
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