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Sallen-Key Unity Gain Low Pass Filter - Transfer Function (R&C)

Last modified by
on
Jun 14, 2023, 4:46:37 PM
Created by
on
Feb 8, 2014, 11:10:05 PM
H(s)=(1R1R2C1C2)2s2+2αs+(1R1R2C1C2)2
(R1)Resistance 1
(R2)Resistance 2
(C1)Capacitance 1
(C2)Capacitance 2
(α)Attenuation
(s)Complex Angular Frequency
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344ed8e3-3d39-11e3-83ad-bc764e049c3d

This equation computes the transfer function H(s) for a unity gain low pass filter implementation of the Sallen-Key topology.  This electronic filter is a special case of a second-order unity gain filter version of the voltage-controlled voltage-source (VCVS) topology.

The angular frequency term in this equation is derived from the Resistances and Capacitances (R1,R2,C1,C2) shown in the diagram.

/attachments/344ed8e3-3d39-11e3-83ad-bc764e049c3d/SallenKeyUnityGainLowPassFilterTransferFunctionRC-illustration.png


Sallen-Key Calculators:


This equation, Sallen-Key Unity Gain Low Pass Filter - Transfer Function (R&C), references 1 page
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