TITEL
Ultrasonic measurement principles: modeling, identification, and parameter estimation
FöRFATTARE
Martinsson, Jesper
INSTITUTION
Systemteknik / EISLAB
SAMMANFATTNING
This thesis presents contributions within the fields of ultrasonic modeling
and measurement technology, with focus on solutions to difficult modeling and
measurement problems. The work is divided into two categories: 1) processing
of measurements obtained under non-ideal conditions, such as unsynchronized,
distorted, and superimposed signals; 2) estimating acoustic models and
parameters from materials, fluids, fluid mixtures, and thin-layered
structures.
The ultrasonic research field has traditionally been focused on either
physical models to describe acoustic properties based on wave propagation
experiments, or on statistical/empirical models to describe more complex
systems. Physical models have the advantage that the parameters are directly
connected to physical properties of the media, enabling an understanding of
the underlying dynamics and simplifying the inverse problem. However, their
disadvantage is that the derivations are often based on crude approximations
and ideal conditions; limitations often leading to correlated residuals,
biased parameter estimates, and the necessity of calibration measurements to
solve the inverse problem. Conversely, statistical or empirical models often
describe the measured data well with uncorrelated residuals, but have the
disadvantage that the parameters (or models) are not directly connected to
the physical properties of the material or fluid. In this case this
connection is often retrieved through calibration.
A key ingredient in the work presented in this thesis, is the use of a
combination of physical and empirical models. This allows for a description
of dynamic elements with both known and unknown structures, and the ability
to have both uncorrelated residuals and unbiased parameter estimates related
to the physical properties of the media. If sufficient prior knowledge exists
of the physical structure and the location of possible non-ideal effects,
calibration steps may be avoided or reduced significantly. This combination
of hard physical structures with the variability of empirical models inherits
advantages and disadvantages from both models. The benefits and limitations
of the proposed solutions are analyzed and discussed, and the presented
results are supported and validated with real experiments or with
combinations of real experiments and simulations.
ISSN 1402-1544 / ISRN LTU-DT--08/37--SE / NR 2008:37
|