Sallen-Key Band-Pass Filter

Design from specification

Equal-component Sallen-Key band-pass (R1=R2=R3=R, C1=C2=C): ω₀ = √2/(RC), and the gain K = 1 + Rb/Ra sets Q via K = 4 − √2/Q. Peak gain = K·Q/√2 is therefore coupled to Q. Stable for Q ≳ 0.47 (K must stay below 4).

Centre f₀ [Hz]: Quality factor Q: C [F] (optional): R series: C series:

Components (analyse / override)

R1 [Ω]: R2 [Ω]: R3 [Ω]: C1 [F]: C2 [F]: Ra [Ω]: Rb [Ω]:

Results

Components: R1 = — R2 = — R3 = — C1 = — C2 = — Ra = — Rb = —

Centre f₀ = — Hz Q = — ζ = — peak gain = —

Transfer function:
H(s) = —

Equivalent block diagram

—

Poles

—

Phase margin

—

Oscillation (ringing) frequency

—

Overshoot of the step response

—

Final value of the step response

—