Homework Q1: Solve the following difference equation by using Z transform y(k)-3y(k-1)+금y(k - 2) = 2sin) y(-1) = 2, y(-2) = 4 Ans: 13 1 112 96 sin (k) cos 85 Gk): k20 85 Q2: The signal f(k) has Z transform as the following: 27* - 25 +323 + 2z? F(Z) = Z7 + 276 + z5 + z* + 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 Z transform for the sampled signal f(k) at T = 0.1 sec. Q4: Find Z transform for the following sampled signal: ((-1)* S(k) = k = 4,5,6, . elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it: 02 0.4 0.4 02. 02

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Homework
Q1: Solve the following difference equation by using Z transform
-yk - 1) +y(k-
- 2) = 2 sin ()
y(-1) = 2, y(-2) = 4
Ans:
y(k) =*-G) + 5 sin (Gk) - 5 cos (); k2o
Q2: The signal f(k) has Z transform as the following:
27* - 25 + 323 + 22
Z + 27° + z5 + zª + 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 Z
transform for the sampled signal f(k) at T = 0.1 sec.
04: Find Z transform for the following sampled signal:
(-1)*
S(k) =
k = 4,5, 6, .
elsewhere
Q5: Write the Difference Equation for the following sampled system, and solve it:
y(M)
Transcribed Image Text:o Homework 2.p... > Homework Q1: Solve the following difference equation by using Z transform -yk - 1) +y(k- - 2) = 2 sin () y(-1) = 2, y(-2) = 4 Ans: y(k) =*-G) + 5 sin (Gk) - 5 cos (); k2o Q2: The signal f(k) has Z transform as the following: 27* - 25 + 323 + 22 Z + 27° + z5 + zª + 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 Z transform for the sampled signal f(k) at T = 0.1 sec. 04: Find Z transform for the following sampled signal: (-1)* S(k) = k = 4,5, 6, . elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it: y(M)
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