Does the ROC of the Z-transform of any signal contain poles?
The ROC of z-transform of any signal cannot contain poles. Explanation: Since the value of z-transform tends to infinity, the ROC of the z-transform does not contain poles.
What is the ROC of a Z-transform?
The ROC for a given , is defined as the range of for which the z-transform converges. Since the z-transform is a power series, it converges when is absolutely summable. Stated differently, must be satisfied for convergence. The Region of Convergence has a number of properties that are dependent on the characteristics of the signal, .
What is the region of convergence of the Z-transforms(Z)?
for which the in?nite sum converges, such set of values of z is called the Region of Convergence of the z-transformS(z). This document describes the possible shapes the Region of Convergence (ROC) may take. We start by describing the ROC shape of one sided sequences from which we’ll deduce the ROC shape for two sided sequences.
What are the main topics of the Z-transform?
?Properties of the z-Transform ?Inversion of the z-Transform ?The Transfer Function ?Causality and Stability ?Determining Frequency Response from Poles & Zeros ?Computational Structures for DT-LTI Systems ?The Unilateral z-Transform 2