2- In the figure below, show that if F1 and F2 are LTI, and if x1 = x2, then y1 = Y2. -Show that by convolving the impulse responses of F1, and F2, we can obtain the impulse response of an equivalent LTI system, representing the series connection of the two systems. -Assume that F1, has the impulse response fi = {1, – 2, 0.5}, and that F2, has the impulse response f2 = {5, 2}. Find the impulse response of the equivalent LTI system, representing the series connection of F1 and F2. What is the input-output relationship of this system? X2 U2 Y2 F2 F1 Y1 F2 X1 Vị F1

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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2- In the figure below, show that if F1 and F2 are LTI, and if x1 = x2, then y1 = Y2.
-Show that by convolving the impulse responses of F1, and F2, we can obtain the impulse
response of an equivalent LTI system, representing the series connection of the two systems.
-Assume that F1, has the impulse response
fi = {1, – 2, 0.5},
and that F2, has the impulse response
f2 = {5, 2}.
Find the impulse response of the equivalent LTI system, representing the series connection
of F1 and F2. What is the input-output relationship of this system?
X2
U2
Y2
F2
F1
X1
Vị
Y1
F2
Transcribed Image Text:2- In the figure below, show that if F1 and F2 are LTI, and if x1 = x2, then y1 = Y2. -Show that by convolving the impulse responses of F1, and F2, we can obtain the impulse response of an equivalent LTI system, representing the series connection of the two systems. -Assume that F1, has the impulse response fi = {1, – 2, 0.5}, and that F2, has the impulse response f2 = {5, 2}. Find the impulse response of the equivalent LTI system, representing the series connection of F1 and F2. What is the input-output relationship of this system? X2 U2 Y2 F2 F1 X1 Vị Y1 F2
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