SLOA049D
July 2000 – February 2023
Abstract
Trademarks
1
Introduction
2
Filter Characteristics
3
Second-Order Low-Pass Filter Standard Form
4
Math Review
5
Examples
5.1
Second-Order Low-Pass Butterworth Filter
5.2
Second-Order Low-Pass Bessel Filter
5.3
Second-Order Low-Pass Chebyshev Filter with 3-dB Ripple
6
Low-Pass Sallen-Key Architecture
7
Low-Pass Multiple Feedback (MFB) Architecture
8
Cascading Filter Stages
9
Filter Tables
10
Example Circuit Simulated Results
11
Non-ideal Circuit Operation
11.1
Non-ideal Circuit Operation: Sallen-Key
11.2
Non-ideal Circuit Operation: MFB
12
Comments About Component Selection
13
Conclusion
A Filter Design Specifications
A.1 Sallen-Key Design Simplifications
A.1.1 Sallen-Key Simplification 1: Set Filter Components as Ratios
A.1.2 Sallen-Key Simplification 2: Set Filter Components as Ratios and Gain = 1
A.1.3 Sallen-Key Simplification 3: Set Resistors as Ratios and Capacitors Equal
A.1.4 Sallen-Key Simplification 4: Set Filter Components Equal
A.2 MFB Design Simplifications
A.2.1 MFB Simplification 1: Set Filter Components as Ratios
A.2.2 MFB Simplification 2: Set Filter Components as Ratios and Gain = –1
B Higher-Order Filters
B.1 Fifth-Order Low-Pass Butterworth Filter
B.2 Sixth-Order Low-Pass Bessel Filter
C Revision History
A
Filter Design Specifications