Signals (1)

1. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Signals and Systems UNIT 5
Ripal Patel
Assistant Professor,
Dr.Ambedkar Institute of Technology, Bangalore.
ripal.patel@dr-ait.org
December 18, 2020

2. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Introduction to Z transforms

3. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Relation between Z transforms and DTFT

4. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Z plane

5. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Region of Convergence (ROC)

6. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Example: Region of Convergence (ROC)

7. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Example: A right sided Sequence

8. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Example: Z transform of A right sided Sequence

9. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
ROC

10. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Example: A Left sided Sequence

11. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Example: Z transform of A Left sided Sequence

12. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
ROC

13. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Poles and Zeros of Zplane

14. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Poles and ROC of A right sided Sequence

15. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Poles and ROC of A Left sided Sequence

16. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Poles and ROC of Sum of Two Right Sided
Sequences

17. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Poles and ROC of Two Sided Sequences

18. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Properties of ROC

19. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Exercise to decide ROC

20. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Case 1

21. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Case 2

22. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Case 3

23. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Linearity Property

24. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Linearity Property Proof

25. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Time Shifting

26. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Time Shifting Proof

27. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Scaling in the Z domain

28. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Scaling in the Z domain Proof

29. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Convolution Property

30. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Convolution Property Proof

31. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Convolution Property Proof (Conti...)

32. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Differentiation Property

33. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
Differentiation Property Proof

34. 19EC34
Ripal Patel
Z transforms
Properties of
the region of
convergence
Properties of
Z transform
The End