30-07-2012, 12:57 PM
Z-TRANSFORM and IT’S APPLICATIONS
z -transform mahesh.doc (Size: 1.67 MB / Downloads: 49)
INTRODUCTION:
*Transform techniques are an important tool in the analysis of signals and linear time-invariant (LTI) systems.
*For discrete-time systems, z-transforms play the same role of Laplace transforms do in continuous-time systems
*Z-transform enables us to analyze system response and characteristics using algebraic manipulations
INVERSION OF Z-TRANSFORM:-
*Procedure for transforming from z-domain to time domain.
* The inverse z-transform can be derived by using Cauchy’s integral theorem. Start with the z-transform Multiply.
Application’s of z-transform:-
*Through the use of the z- transform, a discrete time- system can be characterized by a discrete- time transfer function.
*The discrete-time transfer function play the same key role as the continuous time transfer time in a analog system.
*It can be used to obtain the time-domain response of a system to any excitation or its frequency-domain response.