This paper presents an ultrasonic transducer modeling with very high-speed integrated circuit (VHSIC) hardware description language-analog and mixed signal (VHDL-AMS) IEEE 1076.1 integrated in a global measurement cell modeling dedicated to biological tissue ultrasound characterization. Usual modeling of ultrasonic transducers is based on electrical analogy and is not simulated in the global measurement environment. The ultrasonic transducer modeling proposed is simulated with a nonlinear acoustic load and electronic excitation. The nonlinear B/A parameter is used to characterize a medium with a comparative method. The measurement cell is composed of two piezoelectric ceramic transducers, which are implemented with Redwood's electric scheme.
The analyzed medium is placed between the transducers and modeled to take into account the nonlinear propagation with the B/A parameter. The usual transmission line model has been modified to take into account the nonlinear propagation for a one-dimensional (1-D) wave. Simulations of the transducer pulse response and electrical impedance show a VHDL-AMS model that is in good agreement with measurementand compared to the usual personal computer simulation program with integrated circuit emphasis results simulations. Results obtained by simulation of mediums (blood, milk, liver, and human fat tissue) showed good agreement between modeling and experimental measurement, and a maximum error of about 12.5% for B/A measurement-simulation.Index Terms-Ceramic, nonlinear modeling, piezoelectric, ultrasonic, very high-speed integrated circuits (VHSIC) hardware description language-analog and mixed signal (VHDL-AMS).
International audienceThis paper presents an ultrasonic transducer modeling with VHDL-AMS IEEE 1076 integrated in a global measurement cell modeling dedicated to biological ultrasound characterization. Conventional modeling of ultrasonic transducer is based on electrical analogy and is not simulated in the global measurement environment. The ultrasonic transducer modeling proposed is simulated with the nonlinear acoustic load and electronic excitation. The transducer is a piezoceramic element vibrating in thickness mode. The theoretical equations of piezoelectricity are used to determine a matrix transfer which describes the relation between the electrical and the acoustical parts. The temporal implementation is based on the Redwood's model. Characterization of different mediums like water and ethanol with a compared method is based on the B/A ultrasonic parameter estimation. The good results obtained for temporal simulation and B/A nonlinear parameter estimation compared to measurements show that we can extended to a multi-layer characterization with an ultrasonic nonlinear imaging probe modeling
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