Determine the z-transform of the sequence x[n] = (-)" cos(³)u[n] a. √2 1+42¹ ROC: |Z| > -1 Z + O b. ROC: |Z| > C. -, ROC: |z|>-/ , ROC: |z| >=1/2 ROC: |Z| > , ROC: |z|>-/ d. e. O f. 1+ 1+ 1+ √2 -1 Z + 1 + √2²%-1 1 + 2 √2 -1 2 + 1-1/2-1 √2 -1 Z + 2 1+ Z 1 1+ 1 ~S √2 -1 22 1-1/2-¹ + -2 -2 -2 -2 -1 + 1/2-2 I I

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Determine the z-transform of the sequence

Determine the z-transform of the sequence x[n] = (-)" cos(³)u[n]
a.
√2
1+ Z
ROC: |Z| >
-1
Z +
O b.
ROC: |Z| >
C.
-, ROC: |z|>-/
, ROC: |z| >=1/2
ROC: |Z| >
, ROC: |z|>-/
d.
e.
O f.
1+
1+
1+
√2
-1
Z +
1 + √2²%-1
1 + 2
√2
-1
2
+
1-1/2-1
√2
-1
Z
+
2
1+ Z
1
1+
1
~S
√2 -1
22
1-1/2-¹
+
-2
-2
-2
-2
-1
+ 1/2-2
I
I
Transcribed Image Text:Determine the z-transform of the sequence x[n] = (-)" cos(³)u[n] a. √2 1+ Z ROC: |Z| > -1 Z + O b. ROC: |Z| > C. -, ROC: |z|>-/ , ROC: |z| >=1/2 ROC: |Z| > , ROC: |z|>-/ d. e. O f. 1+ 1+ 1+ √2 -1 Z + 1 + √2²%-1 1 + 2 √2 -1 2 + 1-1/2-1 √2 -1 Z + 2 1+ Z 1 1+ 1 ~S √2 -1 22 1-1/2-¹ + -2 -2 -2 -2 -1 + 1/2-2 I I
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