Practice Key Properties of the ROC (specifically for right-sided signals, which the unilateral transform inherently implies) - 5.1.2.4 | Module 5: Laplace Transform Analysis of Continuous-Time Systems | Signals and Systems
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5.1.2.4 - Key Properties of the ROC (specifically for right-sided signals, which the unilateral transform inherently implies)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Region of Convergence (ROC).

πŸ’‘ Hint: Think about where the value of the transform converges.

Question 2

Easy

What does it mean for a signal to be right-sided?

πŸ’‘ Hint: Consider the time axis and where the signal starts.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

The ROC for right-sided signals is:

  • Always an open half-plane
  • Always a closed half-plane
  • Entire s-plane

πŸ’‘ Hint: Focus on what right-sided means in terms of the ROC.

Question 2

True or False: The ROC can include poles.

  • True
  • False

πŸ’‘ Hint: Recall the definition of poles regarding convergence.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given X(s) = (s + 3) / (s^2 + 4s + 5), analyze the poles and determine the ROC.

πŸ’‘ Hint: Start by finding the roots of the denominator.

Question 2

Discuss how changing the growth rate of a causal signal affects its ROC.

πŸ’‘ Hint: Think about the exponential growth and its implications on the ROC.

Challenge and get performance evaluation