Title :
Generalized Tikhonov Regularization for Measurement Data Processing Using Matrix Equations
Author :
Antona, Gabriele D. ; Rocca, Luca
Author_Institution :
Dipt. di Elettrotecnica, Politecnico di Milano
Abstract :
In the measurements practices, mathematical models and processing algorithms are usually formulated in terms of transformations between random vectors. This paper suggests the possibility of employing a novel approach to process measurement data based on transformations between random matrices. Measurements performed on distributed systems constitutes a case of relevant practical interest in which this kind of representation is more suited respect to the traditional vectorial one, since the physical quantities of interest are both space and time sampled. In particular, the proposed approach is applied to the case of indirectly measuring a time varying current density flowing inside a copper conductor
Keywords :
conductors (electric); current density; inverse problems; least squares approximations; matrix algebra; measurement theory; copper conductor; generalized Tikhonov regularization; inverse problems; least square optimization; mathematical models; matrix equations; measurement data processing; processing algorithms; random matrices; random vectors; time varying current density; Current density; Current measurement; Data processing; Density measurement; Equations; Extraterrestrial measurements; Mathematical model; Particle measurements; Performance evaluation; Time measurement; Least square optimization; indirect measurements; inverse problems; regularization;
Conference_Titel :
Instrumentation and Measurement Technology Conference, 2005. IMTC 2005. Proceedings of the IEEE
Conference_Location :
Ottawa, Ont.
Print_ISBN :
0-7803-8879-8
DOI :
10.1109/IMTC.2005.1604160