Sensitivity of High-Order Loudspeaker Crossover Networks with All-Pass Response
The sensitivity of high-order filter networks to component matching tolerances increases with the filter order. For the crossover network of an audio loudspeaker that is designed to sum to an all-pass network, it is demonstrated that the sensitivity to component matching tolerances may be dwarfed by sensitivities to other effects. Second- to eighth-order Linkwitz/Riley crossovers are examined. The analysis also subsumes networks with transmission zeros and optimized networks where the effects of frequency-response errors introduced by the respective driver transfer functions are minimized. Crossover networks are considered which are least sensitive to the combined effects of component tolerances, pathdelay effects, interaction of filter sections in loudspeakers that divide the incoming signal into three or more subbands, and driver transfer functions.
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