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Crossover Calculator
This crossover calculator can be employed for the calculation of passive filters (first, second, third, and fourth order) in two-way and three-way crossover networks. It will also create a circuit diagram and provide the component values you require.
Instructions: Choose your crossover type (two-way or three-way), input impedance values for tweeter, woofer and midrange (with a three-way crossover network), choose the order/type of the filter, input the crossover frequency, and click on the "Calculate" button. The calculator will then provide the component values required for the crossover type you have chosen.
The crossover calculator uses the following formulae:
Two-Way Crossover Network Design Formulae
| 1st Order Butterworth | 1st Order Solen Split -6 db | |
|---|---|---|
| C1 = | .159/RHf | .1125/(RHf) |
| L1 = | RL/6.28f | .2251RL/f |
| 2nd Order Bessel | 2nd Order Butterworth | 2nd Order Chebyshev | 2nd Order Linkwitz-Riley | |
|---|---|---|---|---|
| C1 = | .0912/(RHf) | .1125/(RHf) | .1592/(RHf) | .0796/(RHf) |
| C2 = | .0912/(RLf) | .1125/(RLf) | .1592/(RLf) | .0796/(RLf) |
| L1 = | .2756RH/f | .2251RH/f | .1592RH/f | .3183RH/f |
| L2 = | .2756RL/f | .2251RL/f | .1592RL/f | .3183RL/f |
| 3nd Order Butterworth | 3nd Order Bessel | |
|---|---|---|
| C1 = | .1061/(RHf) | .0791/(RHf) |
| C2 = | .3183/(RHf) | .3953/(RHf) |
| C3 = | .2122/(RLf) | .1897/(RLf) |
| L1 = | .1194RH/f | .1317RH/f |
| L2 = | .2387RL/f | .3294RL/f |
| L3 = | .0796RL/f | .0659RL/f |
| 4th Order Bessel | 4th Order Butterworth | 4th Order Gaussian | |
|---|---|---|---|
| C1 = | .0702/(RHf) | .1040/(RHf) | .0767/(RHf) |
| C2 = | .0719/(RHf) | .1470/(RHf) | .1491/(RHf) |
| C3 = | .2336/(RLf) | .2509/(RLf) | .2235/(RLf) |
| C4 = | .0504/(RLf) | .0609/(RLf) | .0768/(RLf) |
| L1 = | .0862RH/f | .1009RH/f | .1116RH/f |
| L2 = | .4983RH/f | .4159RH/f | .3251RH/f |
| L3 = | .3583RL/f | .2437RL/f | .3253RL/f |
| L4 = | .1463RL/f | .1723RL/f | .1674RL/f |
| 4th Order Legendre | 4th Order Linear-Phase | 4th Order Linkwitz-Riley | |
|---|---|---|---|
| C1 = | .1104/(RHf) | .0741/(RHf) | .0844/(RHf) |
| C2 = | .1246/(RHf) | .1524/(RHf) | .1688/(RHf) |
| C3 = | .2365/(RLf) | .2255/(RLf) | .2533/(RLf) |
| C4 = | .0910/(RLf) | .0632/(RLf) | .0563/(RLf) |
| L1 = | .1073RH/f | .1079RH/f | .1000RH/f |
| L2 = | .2783RH/f | .3853RH/f | .4501RH/f |
| L3 = | .2294RL/f | .3285RL/f | .3000RL/f |
| L4 = | .2034RL/f | .1578RL/f | .1500RL/f |
Note: The values are in Farads (C1 - Cn), Henries (L1 - Ln), Hertz (f) and Ohms (RH, RL).
Three-Way Crossover Network Design Formulae
| 1st Order Normal Polarity fH/fL=10 | 1st Order Normal Polarity fH/fL=8 | |
|---|---|---|
| C1 = | .1590/(RHfH) | .1590/(RHfH) |
| C2 = | .5540/(RMfM) | .5070/(RMfM) |
| L1 = | .0458RM/fM | .0500RM/fM |
| L2 = | .1592RL/fL | .1592RL/fL |
| 2nd Order (Reverse Midrange Polarity) fH/fL=10 | 2nd Order (Reverse Midrange Polarity) fH/fL=8 | |
|---|---|---|
| C1 = | .0791/(RHfH) | .0788/(RHfH) |
| C2 = | .3236/(RMfM) | .3046/(RMfM) |
| C3 = | .0227/(RMfM) | .0248/(RMfM) |
| C4 = | .0791/(RLfL) | .0788/(RLfL) |
| L1 = | .3202RH/fH | .3217RH/fH |
| L2 = | 1.0291RM/fM | .9320RM/fM |
| L3 = | .0837RM/fM | .0913RM/fM |
| L4 = | .3202RL/fL | .3217RL/fL |
| Bandpass Gain = 2.08db | Bandpass Gain = 2.45db |
| 3rd Order Normal Polarity fH/fL=10 | 3rd Order Normal Polarity fH/fL=8 | |
|---|---|---|
| C1 = | .1138/(RHfH) | .1158/(RHfH) |
| C2 = | .2976/(RHfH) | .2927/(RHfH) |
| C3 = | .0765/(RMfM) | .0884/(RMfM) |
| C4 = | .3475/(RMfM) | .3112/(RMfM) |
| C5 = | 1.068/(RMfM) | .9667/(RMfM) |
| C6 = | .2127/(RLfL) | .2130/(RLfL) |
| L1 = | .1191RH/fH | .1189RH/fH |
| L2 = | .0598RM/fM | .0634RM/fM |
| L3 = | .0253RM/fM | .0284RM/fM |
| L4 = | .3789RM/fM | .3395RM/fM |
| L5 = | .2227RL/fL | .2187RL/fL |
| L6 = | .0852RL/fL | .0866RL/fL |
| Bandpass Gain = .85db | Bandpass Gain = .99db |
| 3rd Order (Reverse Midrange Polarity) fH/fL=10 | 3rd Order (Reverse Midrange Polarity) fH/fL=8 | |
|---|---|---|
| C1 = | .0995/(RHfH) | .0980/(RHfH) |
| C2 = | .3402/(RHfH) | .3459/(RHfH) |
| C3 = | .0683/(RMfM) | .0768/(RMfM) |
| C4 = | .3128/(RMfM) | .2793/(RMfM) |
| C5 = | 1.148/(RMfM) | 1.061/(RMfM) |
| C6 = | .2126/(RLfL) | .2129/(RLfL) |
| L1 = | .1191RH/fH | .1190RH/fH |
| L2 = | .0665RM/fM | .0711RM/fM |
| L3 = | .0233RM/fM | .0254RM/fM |
| L4 = | .4285RM/fM | .3951RM/fM |
| L5 = | .2546RL/fL | .2586RL/fL |
| L6 = | .0745RL/fL | .0732RL/fL |
| Bandpass Gain = 1.6db | Bandpass Gain = 2.1db |
| 4th Order Normal Polarity fH/fL=10 | 4th Order Normal Polarity fH/fL=8 | |
|---|---|---|
| C1 = | .0848/(RHfH) | .0849/(RHfH) |
| C2 = | .1686/(RHfH) | .1685/(RHfH) |
| C3 = | .3843/(RMfM) | .3774/(RMfM) |
| C4 = | .5834/(RMfM) | .5332/(RMfM) |
| C5 = | .0728/(RMfM) | .0799/(RMfM) |
| C6 = | .0162/(RMfM) | .0178/(RMfM) |
| C7 = | .2523/(RLfL) | .2515/(RLfL) |
| C8 = | .0567/(RLfL) | .0569/(RLfL) |
| L1 = | .1004RH/fH | .1007RH/fH |
| L2 = | .4469RH/fH | .4450RH/fH |
| L3 = | .2617RM/fM | .2224RM/fM |
| L4 = | 1.423RM/fM | 1.273RM/fM |
| L5 = | .0939RM/fM | .1040RM/fM |
| L6 = | .0445RM/fM | .0490RM/fM |
| L7 = | .2987RL/fL | .2983RL/fL |
| L8 = | .1502RL/fL | .1503RL/fL |
| Bandpass Gain = 2.28db | Bandpass Gain = 2.84db |
Note: The values are in Farads (C1 - Cn), Henries (L1 - Ln), Hertz (fH, fM, fL) and Ohms (RH, RM, RL). fM = (fH × fL)1/2
Reference: Dickason, Vance. (2006). The Loudspeaker Design Cookbook. 7th edition. Audio Amateur Press. pp 163 - 169