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Modeling the Intermodulation Distortion of a Coaxial Loudspeaker

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This paper is an attempt to explain the intermodulation distortion of a coaxial loudspeaker driver. Such a loudspeaker, in which the woofer and tweeter are excited at frequencies f1 and f2 respectively, is known to produce sum and difference frequencies f± = f1 ± f2. Generation of these can be attributed to both the nonlinearity of the equations of motion and the Lagrangian boundary behavior of the woofer. A simplified model is used consisting of an acoustic monopole located in front of a baffled planar piston. To characterize the phenomena of interest the second-order equation for pressure is used. An exact integral solution is then given for the f± pressure terms. A special case analytic solution is also discussed. Several numerical investigations of the model are performed and compared with experiment.

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