State-Variable Low-Pass Filter

Design from specification

KHN state-variable section: ω₀ = 1/(RC), Q = Rq/R (independent). Pick an approximation and cutoff; R and Rq are computed and rounded to the chosen E-series.

Approximation: Cutoff f_c [Hz]: Damping ζ: C [F] (optional): R series: C series:

Components (analyse / override)

R [Ω]: C [F]: Rq [Ω]:

Results

Components: R = — C = — Rq = —

Cutoff f₀ = — Hz Q = — ζ = — passband gain = —

Transfer function:
H(s) = —

Equivalent block diagram

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Poles

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Phase margin

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Oscillation (ringing) frequency

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Overshoot of the step response

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Final value of the step response

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