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Which of the following is correct? 1 1+32-1 3. A. X(z) of 3mu(m) = B. X(z) of 3mu(m) = C. X(z) of 3mu(m) = D. X(z) of 3mu(m) = 1-z-1 1-3z-1 1 1+z-1

Which of the following is correct? 1 1+32-1 3. A. X(z) of 3mu(m) = B. X(z) of 3mu(m) = C. X(z) of 3mu(m) = D. X(z) of 3mu(m) = 1-z-1 1-3z-1 1 1+z-1

Advanced Engineering Mathematics
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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Part 2. Determine the z-transform and ROC of x(n) = 3¹u(n − 2) - n7"u(-n-1) Let x₁ (n) = 3"u(n - 2). What z-transform property is applicable? 1. 1 A. Linearity B. Time shifting C. Scaling D. Folding Let x₂ (n) = n7"u(-n − 1). What z-transform property is applicable? 2. A. Convolution B. Time shifting C. Scaling D. Differentiation Which of the following is correct? 1 3. A. X(z) of 3mu(m) B. X(z) of 3mu(m) C. X(z) of 3mu(m) = D. X(z) of 3mu(m) = = = 1+3z-1 1 1-z-1 1 1-32-1 1 1+z-1
Transcribed Image Text:Part 2. Determine the z-transform and ROC of x(n) = 3¹u(n − 2) - n7"u(-n-1) Let x₁ (n) = 3"u(n - 2). What z-transform property is applicable? 1. 1 A. Linearity B. Time shifting C. Scaling D. Folding Let x₂ (n) = n7"u(-n − 1). What z-transform property is applicable? 2. A. Convolution B. Time shifting C. Scaling D. Differentiation Which of the following is correct? 1 3. A. X(z) of 3mu(m) B. X(z) of 3mu(m) C. X(z) of 3mu(m) = D. X(z) of 3mu(m) = = = 1+3z-1 1 1-z-1 1 1-32-1 1 1+z-1
4 A. X(z) of -n7"u(-n-1) = 1+72-1 B. X(2) of -n7"u(-n-1)= -1 1-7z C. X(z) of -n7"u(-n-1)= -1 1+72-1 1 D. X(z) of -n7"u(-n-1)= 1-72-1 5 SOL A. X(z) = B. X(z) = Which of the following is correct? C. X(z) = D. X(z) = (32-1)2 1-32-1 (32)-2 1-32-2 (3-¹z) 1-z-1 Which of the following is the expression for X(z)? 72-1 (1-72-1)2 72-1 (3z-1)-3 1+3z-1 (1-72-1)2 (1-z-1)² + 6. SC A. |2|< 7 B. |z|>1/3 C. 3<|z| <7 D. 1/7 < z <1/3 (1-72-1)² What is the overall ROC?
Transcribed Image Text:4 A. X(z) of -n7"u(-n-1) = 1+72-1 B. X(2) of -n7"u(-n-1)= -1 1-7z C. X(z) of -n7"u(-n-1)= -1 1+72-1 1 D. X(z) of -n7"u(-n-1)= 1-72-1 5 SOL A. X(z) = B. X(z) = Which of the following is correct? C. X(z) = D. X(z) = (32-1)2 1-32-1 (32)-2 1-32-2 (3-¹z) 1-z-1 Which of the following is the expression for X(z)? 72-1 (1-72-1)2 72-1 (3z-1)-3 1+3z-1 (1-72-1)2 (1-z-1)² + 6. SC A. |2|< 7 B. |z|>1/3 C. 3<|z| <7 D. 1/7 < z <1/3 (1-72-1)² What is the overall ROC?
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