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Time Offset and Crossover Design

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This paper examines some aspects of crossover design to correct for the time offset due to acoustic center displacement in coaxial transducers. The effect of this time delay on the magnitude response of first, second, and third order crossover networks is isolated from the entire crossover/transducer system. This is accomplished by examining the steady-state vector sum of outputs of a transfer function model of the low pass filter, high pass filter, and time delay portions of the entire system. Secondly, Bessell low pass and all pass networks are analyzed as approximations to the spatially related time delay. The magnitude and group delay characteristics of second and fourth order networks of these types are examined. Finally, the magnitude of response of crossovers employing time delay approximation networks are considered. The model used to evaluate the effect of time offset on crossovers is modified to include the compensation effects of the Bessell low pass and all pass networks.

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