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ECE · Q491

Signal Processing

Engineering and GATE · ECE · question 491

Q491

Consider the sequence x[n] = anu[n] + bnu[n], where u[n] denotes the unit-step sequence and 0 < |a| < |b| < 1. The region of convergence (ROC) of the z-transform of x[n] is

A.
|z| > |a|
B.
|z| > |b|
Answer
C.
|z| < |a|
D.
|a| < |z| < |b|

Answer: Option B

Solution

Answer: Option B
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