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===Answer 1=== | ===Answer 1=== | ||
| − | + | <math> x[n] = n^2 (u[n+3]-u[n-1])</math>. | |
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| + | <math>X_(\z) = \sum_{n=-\infty}^{+\infty} x[n] z^{-j\n}</math> | ||
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| + | <math>= \sum_{n=-2}^{0} x[n] e^{-j\omega n}</math> | ||
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| + | <math>= 1+ e^{j\omega} + e^{2j\omega} </math> | ||
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=== Answer 2=== | === Answer 2=== | ||
Write it here. | Write it here. | ||
Revision as of 14:14, 12 September 2013
Contents
Practice Problem on Z-transform computation
Compute the compute the z-transform (including the ROC) of the following DT signal:
$ x[n]= n^2 \left( u[n+3]- u[n-1] \right) $
(Write enough intermediate steps to fully justify your answer.)
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
$ x[n] = n^2 (u[n+3]-u[n-1]) $.
$ X_(\z) = \sum_{n=-\infty}^{+\infty} x[n] z^{-j\n} $
$ = \sum_{n=-2}^{0} x[n] e^{-j\omega n} $
$ = 1+ e^{j\omega} + e^{2j\omega} $
Answer 2
Write it here.
Answer 3
Write it here.
Answer 4
Write it here.
