Consider a sequence x(n) with its Z transform X(z), the pattern of poles and zeros for X(z) is shown in the figure: * 1/3 * 2 Unit circle 3 -Determine the ROC of X(z) knowing that the Fourier transform is convergent. -If the sequence is stable in an ROC bounded between the poles, determine what this region is.

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Consider a sequence x(n) with its Z transform
X(z), the pattern of poles and zeros for X(z) is
shown in the figure:
*
1/3
*
2
Unit circle
3
-Determine the ROC of X(z) knowing that the
Fourier transform is convergent.
-If the sequence is stable in an ROC bounded
between the poles, determine what this region
is.
Transcribed Image Text:Consider a sequence x(n) with its Z transform X(z), the pattern of poles and zeros for X(z) is shown in the figure: * 1/3 * 2 Unit circle 3 -Determine the ROC of X(z) knowing that the Fourier transform is convergent. -If the sequence is stable in an ROC bounded between the poles, determine what this region is.
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