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Separation of High Order Impulse Responses in Methods Based on the Exponential Swept-Sine

Many real analogue systems (e.g. electro-acoustic loudspeaker, audio amplifiers, filters etc.) exhibit weakly non-linear features when driven by large amplitude signals. A large scale of such electro-mechanical devices are well modeled by the cascade of Hammerstein models. The exponential swept-sine is a natural excitation vector in order to identify the structural elements from those models. This paper extends the original swept-sine principle to the case of band-limited test vectors, suggests an intermodulation law for the generation of band-limited test vectors and shows that a long-duration swept-sine can be replaced by a series of slightly phase-shifted short-duration swept-sines. High order impulse responses are separable even in case of temporal overlap with a linear combination of the measurements. The method is demonstrated on examples.

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