2. Given 1- 3z-2 Y(z) : (1– 3z-1)(1+z-1) (i) Expand Y(z) into partial fractions. (ii) Determine the sequences y,[n], y2 [n], and y3[n] whose z-transform is given by the above expression, together with the region of convergence (in each case).

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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2. Given
1 – 3z-2
Y(z) :
(1– 3z-1)(1+z-1)
(i) Expand Y (z) into partial fractions.
(ii) Determine the sequences y, [n], y2[n], and y3[n] whose z-transform is given by the above
expression, together with the region of convergence (in each case).
Transcribed Image Text:2. Given 1 – 3z-2 Y(z) : (1– 3z-1)(1+z-1) (i) Expand Y (z) into partial fractions. (ii) Determine the sequences y, [n], y2[n], and y3[n] whose z-transform is given by the above expression, together with the region of convergence (in each case).
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