CHAPTER 6 PART 2 FILTER DESIGN - butterworth.pdf - SKEE 2073 Signals Systems Chapter 6 FILTER DESIGN Part 2(BUTTERWORTH 1 Steps to design Butterworth

# CHAPTER 6 PART 2 FILTER DESIGN - butterworth.pdf - SKEE...

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SKEE 2073 Signals & Systems 1 Chapter 6: FILTER DESIGN Part 2 (BUTTERWORTH)
Steps to design Butterworth Transfer Function 2 1. Calculate the order number, n 2. Calculate c and choose c with the p & s that fulfill the given specification 3. Determine the normalized Transfer Function, H n (s) refer a n (butterworth coefficient) from the table 4. Determine the real/actual Transfer Function: obtained from step 3 and using the transformation table. p (dB) = 20 log p s (dB) = 20 log s p (dB) & s (dB) can be calculated from equations in the next slide
Example: Butterworth Response 1. Calculate the order number, n (circular number) 2. Sketch the magnitude response of this filter 3. Determine the normalized Transfer Function, H n (s) refer a n from the table 4. Determine the real/actual Transfer Function Design a Butterworth lowpass filter (LPF) with a passband gain between 1 and 0.891 (-1 dB gain) for 0< ω <10 a stopband not to exceed 0.0316 (-30 dB gain) for ω≥ 20