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x(n) = 3"u(n-2)-n7" = 3"u(n - 2). What z-transfor =n7"u(-n-1). What z-trans the following is correct?

x(n) = 3"u(n-2)-n7" = 3"u(n - 2). What z-transfor =n7"u(-n-1). What z-trans the following is correct?

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) = 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
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
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