1 Digital Signal Processing

2 Digital Signal Processing Topic 8: Filter Design: IIR 1. Filter Design Specifications 2. Analog Filter Design 3. Digital Filters from Analog Prototypes

3 1. Filter Design Specifications

4 Performance Constraints

5

6 Passband Ripple

7 Stopband Ripple

8 Filter Type Choice : FIR vs. IIR

9 FIR vs. IIR

10 IIR Filter Design

11 2. Analog Filter Design

12 CT Transfer Functions

13 Butterworth Filters

14 Butterworth Filters

15 Butterworth Filters

16 Butterworth Filters

17 Butterworth Example

18 Butterworth Example

19 Chebyshev I Filter

20 Chebyshev I Filter

21 Chebyshev I Filter

22 Chebyshev II Filter

23 Elliptical (Cauer) Filters

24 Analog Filter Types Summary

25 Analog Filter Transformations

26 Lowpass-to-Highpass

27 Lowpass-to-Highpass

28 Transformation Example

29 Transformation Example

30 Transformation Example

31 3. Analog Protos  IIR Filters

32 CT to DT Transformation

33 Bilinear Transformation

34 Bilinear Trnsformation

35 Bilinear Transformation

36 Frequency Warping

37 Design Procedure

38 Bilinear Transform Example

39 Bilinear Transform Example

40 Bilinear Transform Example

41 Other Filter Shapes

42 DT Spectral Transformations

43 DT Frequency Warping

44 Another Design Example

45 Another Design Example