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Not-Linear Convolution: A New Approach For The Auralization Of Distorting Systems

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This work defines a new method for processing audio signals, with the aim to recreate an audible simulation (auralization) of the modification imposed on the original signal by a complex system. The new method is the extension of the classic auralization process based on the linear convolution of the "dry" original signal with the impulse response of the system. The extension allows for the emulation of not-linear systems, characterized in terms of harmonic distortion at several orders. The work first presents the mathematical framework of the proposed implementation, then it is shown how a not linear system can be experimentally characterized by a new measurement method of multiple impulse responses at various harmonic orders, and finally it is shown how these impulse responses can be employed in a multiple convolution process: an experimental demonstration is given of the similarity of the numerically processed sound with the live recording coming from a highly distorting device.

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