In recent years, the development of cheap and robust sensors
combined with the ever increasing availability of the internet
led to a revolution in information technology, giving rise to an
amount of data, which was unimaginable just a decade ago. This
explosion in data lead to an increased demand for algorithms
for processing this data. However, an often overlooked aspect
is that with ever sophisticated algorithms there is associated a
demand for equally sophisticated mathematical modelling. In
this thesis, we explore the interaction between algorithm design
and modelling.
Although, the models and methods discussed here are not
limited to any single domain of application, we will base our discussion
on example applications from the domain of biomedical
engineering. This is because the analysis of physiological time
series is characterised by two problems which help to highlight
the importance of modelling. First, the high noise level of biological
signals requires strong regularization, which can be provided
via a model. Second, in many medical applications the value of
interest is not directly observable. Thus, these latent variables
have to be estimated, e.g. with the help of a model.
In the course of our discussion, we will encounter two major
modalities. The first one is Ballistocardiography (BCG),
a modality often used in home monitoring applications, which
is based on simple pressure sensors, yielding a scalar signal.
The second modality is functional magnetic resonance imaging
(fMRI), a complex and highly sophisticated method, capable of
generating images of brain functionality....
Yu Yao
Ballistocardiography Biosignal Processing Sensors