Linkwitz Transform
A simple component calculator for the classic 2nd-order Linkwitz Transform circuit, with the calculated values placed directly over the schematic.
R1 / R2 / R3 · C1 / C2 / C3
Original system
Target system
Choose C₂
The two C₂ capacitors and the paired resistors are identical in the circuit.
A positive k is required for this topology. The calculated values are ideal values;
standard E-series parts can be entered below for a real-world check.
Calculated components
—
Part
Calculated
Role
R1
—
input pair
R2
—
common pair
R3
—
feedback pair
C1
—
input shunt
C2
—
common series
C3
—
feedback shunt
Design equations
k = (f₀/fₚ − Q₀/Qₚ) / (Q₀/Qₚ − fₚ/f₀)R1 = 1 / [2π f₀ C₂ · 2Q₀(1+k)]
R2 = 2kR1C1 = C₂[2Q₀(1+k)]²
R3 = R1(f₀/fₚ)²
C3 = C1(fₚ/f₀)²
Schematic with calculated values
Values update automatically
R2 = —
C2 = —
R1 = —
R1 = —
C1 = —
R2 = —
C2 = —
R3 = —
R3 = —
C3 = —
Ideal Linkwitz Transform response
magnitude, dBThe curve shows the ideal transform itself: original poles at f₀/Q₀ are compensated and target poles are placed at fₚ/Qₚ. It does not include the loudspeaker/box response.