Q1: Solve the following difference equation by using Z transform y(k) -y(k – 1) +y(k – 2) = 2 sin (nk y(-1) = 2, y(-2) = 4 : Ans: 13 1 k 112 y(k) =D -음(). sin k) - 96 cos 85 k 20 17 85 Q2: The signal f(k) has Z transform as the following: 276 – 25 + 323 + 2z2 F(Z) = Z7 + 276 + Z5 + Z4 + 0.5 Compute f(3). Ans: f(3) = 8 Q3: The signal f(t) = 2 – 2cos(2nt) is sampled every T second. What is the 2 transform for the sampled signal f(k) at T = 0.1 sec. Q4: Find Z transform for the following sampled signal: ((-1)* f(k) = k = 4,5, 6, ... elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it x[n] 0.2 yln) 0.4 0.4 0.2 0.2 EIN

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Q1: Solve the following difference equation by using Z transform
(nk
y(k) -y(k- 1) +y(k – 2) = 2 sin
3
y(-1) = 2, y(-2) = 4
Ans:
k
112
+
85
13 1
k
8
96
y(k) =5
sin k)
cos
85
k); k20
17
Q2: The signal f(k) has Z transform as the following:
276 – 75 + 373 + 2z?
Z7 + 276 + Z5 + Z4 + 0.5
F(Z)
Compute f(3).
Ans: f(3) = 8
Q3: The signal f(t) = 2 – 2cos(2nt) is sampled every T second. What is the
transform for the sampled signal f(k) at T = 0.1 sec.
Q4: Find Z transform for the following sampled signal:
((-1)*
f(k) =
k = 4,5, 6, ...
elsewhere
Q5: Write the Difference Equation for the following sampled system, and solve it
x(n]
0.2
yln]
0.4
0.4
0.2
0.2
Transcribed Image Text:Q1: Solve the following difference equation by using Z transform (nk y(k) -y(k- 1) +y(k – 2) = 2 sin 3 y(-1) = 2, y(-2) = 4 Ans: k 112 + 85 13 1 k 8 96 y(k) =5 sin k) cos 85 k); k20 17 Q2: The signal f(k) has Z transform as the following: 276 – 75 + 373 + 2z? Z7 + 276 + Z5 + Z4 + 0.5 F(Z) Compute f(3). Ans: f(3) = 8 Q3: The signal f(t) = 2 – 2cos(2nt) is sampled every T second. What is the transform for the sampled signal f(k) at T = 0.1 sec. Q4: Find Z transform for the following sampled signal: ((-1)* f(k) = k = 4,5, 6, ... elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it x(n] 0.2 yln] 0.4 0.4 0.2 0.2
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