Identification of Nonlinear Parameters by Using M-sequence and Harmonic Probing Method

Abstract

Many classes of nonlinear systems can be represented by Volterra kernels. The authors have recently developed a method for identification of Volterra kernels of nonlinear systems by using M-sequence and correlation technique. In this paper, the authors propose a new method for identification of nonlinear mechanical systems by use of Volterra kernels. The nonlinear mechanical systems are approximated to a nonlinear vibrating system which consists of a mass, a dumper, a linear spring and nonlinear and springs. Then, the parameters, which represent the nonlinear springs are calculated by use of the Volterra kernels. From the results of computer simulation and experiment, the parameters that represent the nonlinear characteristics of the nonlinear mechanical systems can be identified by the proposed method.

Millimetre wave band time domain channel sounder

“…The cross‐correlation between the output and input can be expressed using (5) as [21] where means time ( t ) average over one period ( T ) of the signal. When considering the system described by (21), the cross‐correlation becomes …”