Design and Simulation of Design Methods for Butterworth and Chebyshev Filter

1. Design and Simulation of Design Methods for Butterworth and Chebyshev Filter PRINCE BRAVE GUHYAPATI V. 10407663

2. Outlines • Background • Problem Definition • Theoretical Framework • Design Steps • Results • Conclusion

3. Background • The signals are important thing in the nature because they carry some information that needed by the living thing. • The most effective method to reduce noise level from the signals is filtering.

4. Problem Definition Which method that better for digital filtering corresponding to the components and output signal waveform?

5. Theoretical Framework • Lowpass Digital Filter • Infinite Impulse Response has the impulse response with infinite number of samples.

6. The advantages of IIR digital filter : • Less delay time. • Produce an equivalent magnitude response using a much lower filter order. • Easier to design and lower cost to build. The IIR digital filter consist of two types: • Butterworth = no ripple in both passband and stopband • Chebyshev = has ripple in passband or stopband

7. Butterworth and ChebyshevLowpass Filter

8. Direct Form I & II Direct Form I Direct Form II

9. Cascade & Parallel Canonic Form Cascade Canonic Parallel Canonic

10. Design Steps

11. Design Steps: Filter Specification

12. Design Step: Realization Diagrams Butterworth Bilinear Transformation Step Invariance Impulse Invariance

13. Design Steps: Realization Diagrams Chebyshev Bilinear Transformation Step Invariance Impulse Invariance

14. Input signal with noise Noise signal Required output signal

15. Results Bilinear Transformation Step Invariance Impulse Invariance

16. Conclusion • For this case, the suitable filter type and method based from the simulation is the Butterworth type filter and bilinear transformation method, because the filter type and method preferred give the output signal nearby similar to the required output signal. • Based from the required components to use, the Butterworth and Chebyshev filter with impulse invariance method use components at the least which only need two delays, one adder and three constant multipliers.

17. Thank You