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Which is NOT a property of the region of convergence?

  • ROC is a disconnection region Correct
  • A two-sided sequence (neither left nor right-sided) has a ROC consisting of a ring in the z-plane, bounded on the interior and exterior by a pole
  • The Fourier transform of x[n] converges absolutely if and only if the ROC of the z-transform includes the unit circle
  • The ROC cannot contain any poles
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