UNIT II DISCRETE TIME SYSTEM ANALYSIS 6+6 Z-transform and its properties, inverse z-transforms; difference equation – Solution by ztransform, application to discrete systems - Stability analysis, frequency response –Convolution – Discrete Time Fourier transform , magnitude and phase representation

1. WEBINAR ON DISCRETE TIME SYSTEM
ANALYSIS
Day 3 – 22/7/2020
1
K.Vijay Anand - Associate Professor
Department of Electronics and Instrumentation Engineering
R.M.K Engineering College

2. Properties of Z transform
• Linearity Property
• Time Shifting Property
• Multiplication by Exponential
Sequence Property
• Time Reversal Property
• Differentiation in Z-Domain OR
Multiplication by n Property
• Convolution Property
• Conjugation property
• Intial Value theorem
• Final Value theorem

4. X(z)
z
Lt
x(n)
0n
Lt
x(0)




INITIAL VALUE THEOREM:
Let x(n) be a discrete time causal sequence and ZT[ x(n) ] = X(z),
then according to initial value theorem of z transform
7/28/2020 4

9. Inverse z-transform
 Long Division Method or synthetic Division
 Partial Fraction Method
 Cauchy’s Integration Method
 Solution of difference Equation
9

17. Partial Fraction Method

24. CAUCHY RESIDUE THEOREM

25. Residue Method

26. Cauchy Residue Theorem