Which of the following is correct? 1 A. X(z) of B. X(z) of -n7"u(-n-1)= C. X(z) of -n7"u(-n − 1) = D. X(z) of -n7"u(-n-1)= -n7"u(-n-1)= 1+72-1 -1 1-7z -1 1+72-1 1 1-7z-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. X(z) of -n7"u(n − 1) =
-
B. X(z) of -n7"u(-n-1)=
C. X(z) of -n7"u(-n − 1) =
D. X(z) of -n7"u(n − 1) =
A. X(z) =
B. X(z) =
C. X(z):
D. X(z) =
Which of the following is correct?
1
1+72-1
-1
1-7z
-1
1+7z-1
1
1-72-1
=
Which of the following is the expression for X(z)?
72-1
+
(1-72-1)²
72-1
(1-72-1)²
Z-1
(1-z-1)²
z 1
(1-7z-1)2
(3z-¹)²
1-32-1
(32)-2
1-32-2
(3-¹z)³
1-z-1
(3z-1)-3
1+3z-1
+
What is the overall ROC?
A. |Z| < 7
B. |z| > 1/3
C. 3 < |Z| < 7
D. 1/7 < |z| < 1/3
Transcribed Image Text:A. X(z) of -n7"u(n − 1) = - B. X(z) of -n7"u(-n-1)= C. X(z) of -n7"u(-n − 1) = D. X(z) of -n7"u(n − 1) = A. X(z) = B. X(z) = C. X(z): D. X(z) = Which of the following is correct? 1 1+72-1 -1 1-7z -1 1+7z-1 1 1-72-1 = Which of the following is the expression for X(z)? 72-1 + (1-72-1)² 72-1 (1-72-1)² Z-1 (1-z-1)² z 1 (1-7z-1)2 (3z-¹)² 1-32-1 (32)-2 1-32-2 (3-¹z)³ 1-z-1 (3z-1)-3 1+3z-1 + What is the overall ROC? A. |Z| < 7 B. |z| > 1/3 C. 3 < |Z| < 7 D. 1/7 < |z| < 1/3
Part 2. Determine the z-transform and ROC of
x(n) = 3"u(n-2)-n7"u(-n-1)
| Let x₁ (n) = 3¹u(n − 2). What z-transform property is applicable?
-
A. Linearity
B. Time shifting
C. Scaling
D. Folding
et x₂ (n) = n7"u(n − 1). What z-transform property is applicable?
A. Convolution
B. Time shifting
C. Scaling
D. Differentiation
| Which of the following is correct?
3
A. X(z) of 3 u(m):
=
B. X(z) of 3mu(m) =
C. X(z) of 3 u(m) =
D. X(z) of 3mu(m)
=
----
1+3z-1
1-2-1
1-32-1
1+2-1
Transcribed Image Text:Part 2. Determine the z-transform and ROC of x(n) = 3"u(n-2)-n7"u(-n-1) | Let x₁ (n) = 3¹u(n − 2). What z-transform property is applicable? - A. Linearity B. Time shifting C. Scaling D. Folding et x₂ (n) = n7"u(n − 1). What z-transform property is applicable? A. Convolution B. Time shifting C. Scaling D. Differentiation | Which of the following is correct? 3 A. X(z) of 3 u(m): = B. X(z) of 3mu(m) = C. X(z) of 3 u(m) = D. X(z) of 3mu(m) = ---- 1+3z-1 1-2-1 1-32-1 1+2-1
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