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Parameter Measurement and Identification of the Nonlinear System Structure on Horn Loudspeakers

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At small amplitudes, the relevant nonlinear mechanisms in horn loudspeakers can be modeled by a special class of polynomial systems known as the SM-system. This model is verified on a real horn loudspeaker and its unknown parameters are determined by system identification. A novel identification technique is presented that is based on the partial measurement of the higher-order system functions with a steady-state excitation signal. The amplitude and phase responses of the linear subsystems in the SM-system are estimated from the system functions by linear regression. The results of the system identification give qualitative clues about the dominant nonlinearity as well as quantitative estimates of relevant parameters of the horn loudspeakers. This information is crucial for improving the design of horn loudspeakers and for developing nonlinear correction filters to compensate for the nonlinear distortions in the radiated sound by preprocessing the electric input signal.

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