A grey-box modelling approach for the nonlinear parametric channel

Parametric transduction systems employ the nonlinear propagation of acoustic waves in fluid media. The nonlinear effects are beneficially used, which is in contrast to classic communication approaches. In this paper, a point-to-point model for the underlying parametric channel is investigated using a grey-box modelling approach. Prior knowledge is derived from a physical modelling. As a result, a block-oriented model is derived that consists of the concatenation of a static nonlinearity and a dynamic linearity. The structure belongs to the class of HammersteinModels, which are commonly used in nonlinear system modelling. In contrast to a black-box approach, the derived model simplifies parameter identification significantly and supports the design of high performance parametric communication systems. Finally, measurement results which are in good agreement with the derived model are reported.