Quantifying the distance between signals and/or their models is
important in many applications, e.g. clustering, classification,
fault detection, ... We have studied several distance measures for
linear models. Furthermore, we have defined a new notion of subspace
angles between models. These angles also indicate how far apart two
models are and they can be used to deduce several distance measures.
The subspace angles between two linear time-invariant models are
defined as the principal angles between certain subspaces derived
from the models. We have established a relation between the subspace
angles between two models and a recently defined cepstral metric.
Co-ordinator(s): Bart
De Moor
Researcher(s): Katrien
De Cock and Jeroen Boets