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Engineering and Tech / Signals and Systems 2 / Chapter 10 / Problem 10.23

Signals and Systems | 2nd Edition | ISBN: 9780138147570 | Authors: Alan V. Oppenheim, Alan S. Willsky, with S. Hamid

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Following are several z-transforms. For each one, determine the inverse z-transform

Chapter 10, Problem 10.23

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QUESTION:

Following are several z-transforms. For each one, determine the inverse z-transform using both the method based on the partial-fraction expansion and the Taylor's series method based on the use of long division. 1- z- 1 1 X(z) = 1-.!.z-2' lzl > 2 4 1- z- 1 1 X(z) = 1- .!.z-2' lzl < 2 4 z-1-.!. 1 X(z) = 2 lzl > 2 1- .!.z- 1' 2 z-1-.!. 1 X(z) = 2 lzl < 2 1- .!.z- 1' 2 X(z) = z- 1 -.!. 1 (1 - 4z-~)2' lzl > 2. X(z) = z- 1 -.!. 1 (1- 4z-~)2' lzl < 2.

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QUESTION:

Following are several z-transforms. For each one, determine the inverse z-transform using both the method based on the partial-fraction expansion and the Taylor's series method based on the use of long division. 1- z- 1 1 X(z) = 1-.!.z-2' lzl > 2 4 1- z- 1 1 X(z) = 1- .!.z-2' lzl < 2 4 z-1-.!. 1 X(z) = 2 lzl > 2 1- .!.z- 1' 2 z-1-.!. 1 X(z) = 2 lzl < 2 1- .!.z- 1' 2 X(z) = z- 1 -.!. 1 (1 - 4z-~)2' lzl > 2. X(z) = z- 1 -.!. 1 (1- 4z-~)2' lzl < 2.

ANSWER:

Step 1 of 10

Write given expressions of .

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