Patent Document ID: 8078433
Application ID: 12009879
Patent Flag: 1

Claim One:
1. An arrangement for optimal and bias-free estimation of linear parameters P l and nonlinear parameters P n of a model having a model input and a model output y′(t) =y′ lin (t)+y′ nlin (t) comprising a linear signal component y′ lin (t) determined by said linear parameters P l and a nonlinear signal component y′ nlin (t) determined by said nonlinear parameters P nlin , said model describing a transducer having at least one transducer input which is supplied with an electrical, acoustical or arbitrary input signal x(t) and at least one transducer output which generates an electrical, acoustical or arbitrary transducer output signal y(t)=y lin (t)+y nlin (t) comprising a linear signal part y nlin (t) and a nonlinear signal part y nlin (t), characterized in that said arrangement comprises: a transformation system having a first transformation input connected to receive said input signal x(t), a second transformation input connected to receive said output signal y(t), said transformation system having a first transformation output and a second transformation output, a nonlinear estimation system having a signal input connected to receive said first transformation output and having an nonlinear parameter output providing said nonlinear parameters P n of the model by minimizing a first cost function C n which evaluates the nonlinear deviation e n (t)=y nlin (t)−y′ nlin (t) between the nonlinear signal part y nlin (t) of said transducer output signal y(t) and the nonlinear signal component y′ nlin (t) in the model output y′(t), and a linear estimation system having an input connected to receive said second transformation output and having an output producing linear parameters P l of said model by minimizing a second cost function C which evaluates the linear deviation e l (t)=y lin (t)−y′ lin (t) between the linear signal part y lin (t) of said transducer output signal y(t) and the linear signal component y′ lin (t) in the model output y′(t).