Solution Found!
Consider a left-sided sequence x[n] with z-transform 1 X(z) = . ( 1 - ~ z-1 )(1 - z- I)
Chapter 10, Problem 10.26(choose chapter or problem)
QUESTION:
Consider a left-sided sequence x[n] with z-transform 1 X(z) = . ( 1 - ~ z-1 )(1 - z- I) (a) Write X(z) as a ratio of polynomials in z instead of z- 1 (b) Using a partial-fraction expression, express X(z) as a sum of terms, where each term represents a pole from your answer in part (a). (c) Determine x[n].
Questions & Answers
QUESTION:
Consider a left-sided sequence x[n] with z-transform 1 X(z) = . ( 1 - ~ z-1 )(1 - z- I) (a) Write X(z) as a ratio of polynomials in z instead of z- 1 (b) Using a partial-fraction expression, express X(z) as a sum of terms, where each term represents a pole from your answer in part (a). (c) Determine x[n].
ANSWER:Step 1 of 5
(a)
Rewriting 
Thus,
