hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Which of the following represents the region of convergence (ROC) of a causal sequence in the Z-domain?
    Question

    Which of the following represents the region of convergence (ROC) of a causal sequence in the Z-domain?

    A.

    Inside the unit circle

    B.

    Entire Z-plane

    C.

    Outside the outermost pole

    D.

    Between two poles

    Correct option is C

    For a causal sequence (right-sided sequence) in the z-domain: The Region of Convergence (ROC) lies outside the magnitude of the outermost pole. It extends to infinity in the z-plane. This condition ensures that the z-transform converges for causal systems.Summary of ROC properties: Causal sequence: ROC is outside the outermost pole Anti-causal sequence: ROC is inside the innermost pole Two-sided sequence: ROC lies between poles\text{For a causal sequence (right-sided sequence) in the } z\text{-domain:} \\[8pt]\bullet \ \text{The Region of Convergence (ROC) lies outside the magnitude of the outermost pole.} \\[4pt]\bullet \ \text{It extends to infinity in the } z\text{-plane.} \\[4pt]\bullet \ \text{This condition ensures that the } z\text{-transform converges for causal systems.} \\[10pt]\textbf{Summary of ROC properties:} \\[6pt]\bullet \ \text{Causal sequence: ROC is outside the outermost pole} \\[4pt]\bullet \ \text{Anti-causal sequence: ROC is inside the innermost pole} \\[4pt]\bullet \ \text{Two-sided sequence: ROC lies between poles}​​

    test-prime-package

    Access ‘BEL’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    test-prime-package

    Access ‘BEL’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow