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    Some Cross Over Equations

    Many people have asked for the equations used to calculate cross-over networks. This page documents them, however, there are no schematics shown at this time except where noted. Also be aware that there are number of varieties of 2nd order and 4th order cross over types that are not listed here.

    See First Order Crossovers and Second Order Crossovers for general usage information (these have schematics relating to the following equations).


    First Order - Butterworth

      C1 = 0.1590/RH f      L1 = RL/6.28f

    Second Order - Linkwitz-Riley

      C1 = 0.0796/RH f      L1 = 0.3183RH/f
      C2 = 0.0796/RH f      L2 = 0.3183RL/f

    Third Order - Butterworth

      C1 = 0.1061/RH f      L1 = 0.1194RH/f
      C2 = 0.3183/RH f      L2 = 0.2387RL/f
      C3 = 0.2122/RL f      L3 = 0.0796RL/f

    Fourth Order - Linkwitz-Riley

      C1 = 0.0844/RH f      L1 = 0.1000RH/f
      C2 = 0.1688/RH f      L2 = 0.4501RL/f
      C3 = 0.2533/RL f      L3 = 0.3000RL/f
      C4 = 0.0563/RL f      L4 = 0.1500RL/f

    For a highly detailed description of Passive Crossover networks, I highly suggest The Loudspeaker Design Cookbook by Vance Dickason - ISBN: 1-882580-10-9. It is available at a number sites on the Internet as well as in some bookstores. Its available from Parts Express if you have trouble finding it elsewhere.


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