Transforms And Partial Differential Equations: UNIT V: Z - Transforms And Difference Equations

Convergence Of Z-Transforms

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un represents a number in the sequence for n is an integer converges absolutely is known as the region of convergence (ROC) of U (z)

CONVERGENCE OF Z-TRANSFORMS

Def:- Region of Convergence (ROC)

The region of the Z-plane in which


un represents a number in the sequence for n is an integer converges absolutely is known as the region of convergence (ROC) of U (z)

Note: (1) The region of convergence of a one sided Z transform of a right-sided sequence


i.e., the exterior of the circle with centre at origin and of radius a say z>|a|

Note (2) The region of convergence of a one sided Z transform of a left-sided sequence


For a left-handed sequence, the ROC is always inside any prescribed contour z < |b|

Note: (3) The region of convergence of two sided Z transform defined by


Transforms And Partial Differential Equations: UNIT V: Z - Transforms And Difference Equations : Tag: : - Convergence Of Z-Transforms

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Related Topics


Introduction

Problems based on Z-transform of some basic functions - Examples

Inverse Z-Transform - Methods

Convolution Theorem - Definition

Formation Of Difference Equations

Solution Of Difference Equations Using Z-transform

Exercise - Solution of difference equations using Z-transform.

Miscellaneous Problems

Convergence Of Z-Transforms

Worked Examples

Exercise - Convergence Of Z-Transforms

Questions And Answers

Related Subjects


Transforms and Partial Differential Equations

Transforms and Partial Differential Equations

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