A class of crossover systems is described. The crossover systems produce null responses in their high-pass and low-pass outputs at frequencies close to the transition, crossover frequency. As a result both outputs have a high initial rate of attention in their stop bands, while the sum of their outputs has a flat, all-pass response. When the nulls are moved to very high and low frequencies, the transfer functions degenerate into Butterworths for odd order and Linkwitz-Rileys for even order. Active and passive realizations are presented. The work is the subject of a patent application.:
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