Given the Z-transform 3z2-z X(z) z2+z-6 a) What are the 3 possible regions of convergence for this X(z)? b) What are the poles and zeros of X(z)? Sketch the pole-zero plot c) Assuming causal ROC in part a), invert X(z) using the method of partial-fraction expansion

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Given the Z-transform
3z2-z
X(z)
z2+z-6
a) What are the 3 possible regions of convergence for this X(z)?
b) What are the poles and zeros of X(z)? Sketch the pole-zero plot
c) Assuming causal ROC in part a), invert X(z) using the method of partial-fraction expansion
Transcribed Image Text:Given the Z-transform 3z2-z X(z) z2+z-6 a) What are the 3 possible regions of convergence for this X(z)? b) What are the poles and zeros of X(z)? Sketch the pole-zero plot c) Assuming causal ROC in part a), invert X(z) using the method of partial-fraction expansion
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