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What is the ROC of z-transform of an two sided infinite sequence?
- a)|z|>r1
- b)|z|<r1
- c)r2<|z|<r1
- d)None of the mentioned
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What is the ROC of z-transform of an two sided infinite sequence?a)|z|...
Explanation: Let us plot the graph of z-transform of any two sided sequence which looks as follows.
From the above graph, we can state that the ROC of a two sided sequence will be of the form r2 < |z| < r1.
Most Upvoted Answer
What is the ROC of z-transform of an two sided infinite sequence?a)|z|...
The ROC (region of convergence) of the z-transform of a two-sided infinite sequence is a ring in the complex plane centered at the origin. The outer radius of the ring is the smallest value of r such that the sequence is absolutely summable for |z| > r. The inner radius of the ring is the largest value of r such that the sequence is absolutely summable for |z| < r.="" in="" other="" words,="" the="" roc="" is="" given="" />
{z : r1 < |z|="" />< />
where r1 is the inner radius and r2 is the outer radius. The function |z| is not the ROC itself, but it can be used to describe the shape of the ROC.
{z : r1 < |z|="" />< />
where r1 is the inner radius and r2 is the outer radius. The function |z| is not the ROC itself, but it can be used to describe the shape of the ROC.
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What is the ROC of z-transform of an two sided infinite sequence?a)|z|>r1b)|z|<r1c)r2<|z|<r1d)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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