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Properties of ROC – Harvey Mudd College

Properties of ROC. The existence of Laplace transform of a given depends on whether the transform integral converges. which in turn depends on the duration and magnitude of as well as the real part of (the imaginary part of determines the frequency of a sinusoid which is bounded and has no effect on the convergence of the integral).

Region of Convergence (ROC) – tutorialspoint.com

Properties of ROC of Laplace Transform. If x (t) is a right sided sequence then ROC : Re {s} > σ o. If x (t) is a left sided sequence then ROC : Re {s} < σ o. If x (t) is a two sided sequence then ROC is the combination of two regions. ROC can be explained by making use of examples given below:

Properties of ROC – Harvey Mudd College

Properties of ROC. If is two-sided, then the ROC is the intersection of the two one-sided ROCs corresponding to the two one-sided parts of . This intersection can be either a ring or an empty set. If is rational, then its ROC does not contain any poles (by definition dose not exist).

Z-Transforms Properties – Tutorials Point

Properties of ROC of Z-Transforms. If x(n) is a finite duration causal sequence or right sided sequence, then the ROC is entire z-plane except at z = 0. If x(n) is a finite duration anti-causal sequence or left sided sequence, then the ROC is entire z-plane except at z = ∞. If x(n) is a infinite duration causal sequence,

DSP: Properties of ROC – ideasdsp.blogspot.com

Properties of ROC Whether the z-transform X ( z ) of a function x [ n ] exists depends on whether or not the transform summation converges which in turn depends on the duration and magnitude of x [ n ] as well as the magnitude .

State and explain different properties of ROC of z transform.

ROC is the region where Z-transform converges. Z-transform is an infinite power series. This series is not convergent for all values of z. Hence ROC is useful in mentioning z-transform.