With the exception of the state variable implementation of Bohn, active crossover implementation of Linkwitz-Riley crossovers has been by cascading of multiple-feedback or Sallen and Key Butterworth filters. In 1983 Lipshitz and Vanderkooy showed that the Linkwitz-Riley filters were particular cases of a family of crossovers characterized by having their high- and low-pass responses in phase at all frequencies. Practical active implementation of the subtractive approach for the second- and fourth-order cases are demonstrated. Advantages and disadvantages of this topology are discussed.
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