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Extraction of model parameters of piezoelectric ultrasound transducers based on the measurement of electrical data Modellparameterextraktion piezoelektrischer Ultraschallwandler auf der Basis elektrischer Meßdaten

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The subject of the present paper is the mathematical modelling of piezoelectric ultrasound probes and the precise estimation of the required parameters of the model based on the measured electrical behaviour of a real probe. The knowledge of the elastic, piezoelectric and dielectric parameters of the probe is crucial for the match between the simulated behaviour of the mathematical model and the measured behaviour of the real probe. The employed deterministic estimation method of the nonlinear optimization based on the one-dimensional frequency domain model of the probe is very robust because of the exact calculation of the first differentiation. In addition to the optimum parameters of the model the estimation method yields a statistical measure for the reliability of the estimated parameters.

German
Die rechnergestützte Simulation zur Analyse, Synthese und Optimierung der Übertragungseigenschaften von Ultraschallprüfköpfen auf der Basis piezoelektrischer Schwinger verlangt eine genaue Kenntnis der Parameter des entsprechenden Rechenmodells. In diesem Artikel wird nun ein Verfahren vorgestellt, mit dem eine präzise Sehätzung der Modellparameter piezoelektrischer Ultraschallwandler aufgrund des äußeren elektrischen Klemmenverhaltens möglich ist. Dieses Verfahren arbeitet auf reziproken Frequenzbereichsmodellen in Impedanzform und zeichnet sich wegen seiner genauen Ableitungsberechnungen durch eine hohe Robustheit aus. Im Falle normalverteilter, mittelwertfreier Meßstörungen erlaubt es bei Kenntnis der Streuung der Meßwerte die Berechnung der Kovarianzmatrix der Modellparameter und damit eine quantitative Abschätzung der Parameterunsicherheiten.
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Language: German

Document Type: Research Article

Publication date: May 1, 1996

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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