5th Order Butterworth Low Pass Filter - PowerPoint PPT Presentation

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5th Order Butterworth Low Pass Filter

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Title: 5th Order Butterworth Low Pass Filter Author: Hugh Blanton Last modified by: Dr. Hugh Blanton Created Date: 10/15/2002 2:50:05 PM Document presentation format – PowerPoint PPT presentation

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Title: 5th Order Butterworth Low Pass Filter


1
5th Order Butterworth Low Pass Filter
2
Fifth Order Butterworth LPF
Design a fifth order Butterworth low pass filter
with a gain (m) of 1 and a cutoff frequency 10000
Hz.
The normalized Butterworth low pass filter
equation is
For a gain (m) of 1
3
The normalized denominator for a fifth order
Butterworth low pass filter is
First order filter
Second order filter
Second order filter
4
Frequency Scaling
Replace s with s/wc
5
First order filter
Assume all resistors in the design are 1 kW.
1 kW
0.016 mF
6
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7
Defines one of the second order filters
8
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9
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10
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11
Defines the other second order filters
12
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14
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