Ultrasonic transducer as a black-box : equivalent circuit synthesis and matching network design

In this paper a new modelling technique for ultrasonic transducers is developed in order to build an analytical model in the Laplace's domain. The model is intended for use in analog circuit CAD system for the front-end electronic design and to visualize the acoustic pulse modifications under different excitation conditions. In this work the following procedure for the model identification has been adopted. In the first step an approximation of the model structure, defined by the pole and zero terms, is found by a manual and/or automatic technique. The second step optimizes the model parameters by minimizing a mean-square-error cost function between the model functions and the reference ones.