(Sample)Sallen-Key High-pass Filter Design Tool - Result -

Calculated the Transfer Function for the Sallen-Key high-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

Sallen-Key High-pass Filter

Vin(s)→ →Vout(s)
(Sample)Transfer Function:
G(s)= s2

R1 = 16kΩ
R2 = 16kΩ
C1 = 0.01uF
C2 = 0.01uF

Cut-off frequency

fc = 994.718394324[Hz]

Quality factor

Q = 0.5

Damping ratio

ζ = 1


p = -994.718394324 +2.59971382044E-06i[Hz]
  |p|= 994.718394324[Hz]
p = -994.718394324-6.59896406561E-07i[Hz]
  |p|= 994.718394324[Hz]


z = 0[Hz]
  |z|= 0[Hz]
z = -0[Hz]
  |z|= 0[Hz]

Phase margin

pm= NAN[deg] (f =0[Hz])

The system does not oscillate.

Overshoot (in absolute value)

The 1st peak  gpk = -0.14 (t =0.00033[sec])

Final value of the step response (on the condition that the system converged when t goes to infinity)

g(∞) = 0


Q factor | Damping ratio ζ

Quality factor Q =
Damping ratio ζ =
C1 = F C2 = F
C1, C2 is optional. But when setting these capacitances, C1, C2 of both are needed to give.

Select Capacitor Sequence:
Select Resistor Sequence:

Frequency analysis

Bode diagram
    Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis
Analysis on frequency range:
  f1=∼f2=[Hz] (optional)

Transient analysis

Step response
Impulse response
Final value of the step response
Analysis on time range:
  0∼[sec] (optional)

Frequency analysis

Transient analysis