Question

Explain the constraints on ROC for various classes of signals

Answer 1

Region of Convergence (ROC) Whether the Laplace transform of a signal exists or not depends on the complex variable as well as the signal itself. All complex values of for which the integral in the definition converges form a region of convergence (ROC) in the s-plane.




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Answer 2

The answer is as follows:

Explanation:

• Convergence Region (ROC) The presence or absence of the Laplace transform of a signal is determined by the complex variable as well as the signal itself.
• A region of convergence (ROC) in the s-plane is formed by all complex values for which the integral in the definition converges.

• The s-plane represents a series of signals in the Laplace transform. Some of these signals may cause the output of any given LTI system to converge,
• while others may cause the output to diverge ("blow up").
• The signals that cause the system's output to converge are found in the convergence zone (ROC).