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Identification of weakly nonlinear systems using input and output measurements

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2 Author(s)

A new identification technique for a class of weakly nonlinear systems whose behavior is adequately characterized in terms of a finite Volterra functional series is presented. Application of the identification technique results in a complete specification of the nonlinear impulse responses which describe a weakly nonlinear system. The identification technique is a "black box" procedure in that only measurements at the system input and output terminals are required. A functional form for the second-order impulse response, h_2(t_1, t_2) , is derived for a nonlinear system with a finite number of power-law devices. The identification of h_2(t_1, t_2) is accomplished by exciting the system with a sum of exponentially decaying signals and appropriately processing the input and output signals using the pencil-of-functions system identification approach. This results in a complete set of linear equations involving all the parameters of h_2(t_1, t_2) . Solution of these equations uniquely determines h_2(t_l, t_2) . An example of the practical application of the technique to a common emitter amplifier is presented.

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Circuits and Systems, IEEE Transactions on  (Volume:27 ,  Issue: 12 )