2. Given 1- 3z-2 Y(z) = (1 – 3z-1)(1+-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).

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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### Question 2

Given 

\[ Y(z) = \frac{1 - 3z^{-2}}{(1 - 3z^{-1})(1 + \frac{1}{2}z^{-1})} \]

(i) Expand \( Y(z) \) into partial fractions.

(ii) Determine the sequences \( y_1[n] \), \( y_2[n] \), and \( y_3[n] \) whose \( z \)-transform is given by the above expression, together with the region of convergence (in each case).
Transcribed Image Text:### Question 2 Given \[ Y(z) = \frac{1 - 3z^{-2}}{(1 - 3z^{-1})(1 + \frac{1}{2}z^{-1})} \] (i) Expand \( Y(z) \) into partial fractions. (ii) Determine the sequences \( y_1[n] \), \( y_2[n] \), and \( y_3[n] \) whose \( z \)-transform is given by the above expression, together with the region of convergence (in each case).
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