1. Signal Processing First CH 8 IIR Filters 1

2. 8-1 The General IIR Difference Equation 2 feedback term recursive filter FIR part No. of coeff. = N+M+1

3. 8-2 Time-Domain Response 3

4. 4 8-2.1 Linearity and Time Invariance of IIR Filters

5. 8-2 Time-Domain Response 5 8-2.1 Linearity and Time Invariance of IIR Filters

6. 8-2 Time-Domain Response 6 8-2.2 Impulse Response of a First-Order IIR System

7. 8-2 Time-Domain Response 7 8-2.2 Impulse Response of a First-Order IIR System

8. 8-2 Time-Domain Response 8 8-2.3 Response to Finite-Length Inputs  Characteristics of IIR filter With the Initial Rest Cond., output is 0 until the input comes. In case of the 1-st order IIR, impulse response is infinite & becomes geometric series as input disappears & time goes by.

9. 8-2 Time-Domain Response 9 8-2.4 Step Responses of a First-Order Recursive System

10. 8-2 Time-Domain Response 10 8-2.4 Step Responses of a First-Order Recursive System

11. 8-3 System Function of an IIR Filter 11 8-3.1 The General First-Order Case

12. 8-3 System Function of an IIR Filter 12 8-3.2 The System Function and Block-Diagram Structures

13. 8-3 System Function of an IIR Filter 13 (Save 1 delay device) =

14. 8-3 System Function of an IIR Filter 14 8-3.3 Relation to the Impulse Response

15. 8-4 Poles and Zeros 15 8-4.2 Pole Locations and Stability

16. 8-4 Poles and Zeros 16 8-5 Frequency Response of an IIR Filter

17. 8-7 The Inverse z-Transform and Some Applications 17

18. 8-7 The Inverse z-Transform and Some Applications 18 8-7.1 Revisiting the Step Response of a First-Order System

19. 8-7 The Inverse z-Transform and Some Applications 19 8-7.2 A General Procedure for Inverse z-Transformation

20. 8-7 The Inverse z-Transform and Some Applications 20 8-7.2 A General Procedure for Inverse z-Transformation

21. 8-8 Steady-State Response and Stability 21

22. 8-8 Steady-State Response and Stability 22

23. 23 HW #5 (Do not submit ! But prepare the final exam.) HW #5 - Textbook Problems: p238-242 P-8.1, 8.4, 8.6, 8.8, 8.10, 8.11, 8.12, 8.15

24. 8-9 Second Order Filters 24 8-9.1 z-Transform of Second-Order Filters

25. 8-9 Second Order Filters 25 8-9.2 Structures for Second-Order IIR Systems

26. 8-9 Second Order Filters 26 8-9.3 Poles and Zeros

27. 8-9 Second Order Filters 27 8-9.3 Poles & Zeros

28. 8-9 Second Order Filters 28 8-9.4 Impulse Response of a Second-Order IIR System

29. 29 8-9 Second Order Filters 8-9.4 Impulse Response of a Second-Order IIR System

30. 30 8-9 Second Order Filters 8-9.4 Impulse Response of a Second-Order IIR System

31. 31 8-9 Second Order Filters 8-9.4 Impulse Response of a Second-Order IIR System

32. 32 8-9 Second Order Filters 8-9.4 Impulse Response of a Second-Order IIR System

33. 33 8-9 Second Order Filters 8-9.4 Impulse Response of a Second-Order IIR System

34. 34 8-10 Frequency Response of Second-Order IIR Filter