Sallen-Key High-Pass Filter Calculator
Design a 2nd-order Sallen-Key active high-pass filter. Solves R and C values for target cutoff and Q with Butterworth/Bessel/Chebyshev presets.
How to Use
- Enter cutoff frequency and Q (or filter-type preset).
- Enter capacitor value (both caps equal); tool solves for R1 and R2.
- Result: resistor values and achieved cutoff.
Show Work
Formulas (equal-C topology)
History
The Sallen-Key high-pass is the dual of the low-pass — swap R and C positions in the original 1955 Sallen-Key topology. Both versions appeared in the same Lincoln Lab paper that introduced the ladder-op-amp architecture.
Sallen-Key high-pass is widely used as the first stage of AC-coupled amplifiers, subsonic filters for audio (removing turntable rumble and amplifier DC drift before loudspeaker amps), and the HP section of bandpass filter designs. Cascaded HP sections create higher-order Butterworth/Bessel/Chebyshev HP filters.
Modern integrated filters (MAX7480 switched-cap, TI TLV320 audio codec decimators) and fully-digital filtering have reduced the need for discrete Sallen-Key designs, but it remains the simplest breadboard HPF and the first active-filter topology in most textbooks.
About This Calculator
Enter cutoff frequency and Q. Enter capacitor value C (equal caps, C1 = C2). The tool solves R1 and R2 using the Q = ½√(R2/R1) and fc = 1/(2π·C·√(R1·R2)) equations. Round to nearest E24 or E96 standard values for build.
For higher order, cascade 2nd-order sections. For example, 4th-order Butterworth HPF: two Sallen-Key sections with Q = 0.541 and Q = 1.307. Everything runs client-side.
Frequently Asked Questions
LP to HP swap?
Swap positions of R and C in the Sallen-Key topology: capacitors in series, resistors to ground. Same fc formula, same Q equation with R and C swapped.
DC-blocking?
Series caps at input/output ensure DC blocking. For AC-coupled audio in/out, use 10 µF electrolytic in series (cutoff < 1 Hz).
Why HPF?
Remove DC offsets, mains hum below 50/60 Hz, subsonic rumble from speakers, slow drift in sensors. Also the HP stage in a bandpass filter.
Common Use Cases
Audio Subsonic Rumble
20-30 Hz HPF to kill turntable rumble while preserving bass.
AC-Couple Sensor
0.1 Hz HPF to remove slow drift while keeping AC signal.
Bandpass Front-End
Combine with LPF to create bandpass filter around any center frequency.
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