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Sistemi di misura distribuiti
Sistemi di misura distribuiti
Monitoraggio dei processi industriali
Monitoraggio dei processi industriali
Measurement systems for localization
Measurement systems for localization
Teacher: Alessio De Angelis and Francesco Santoni
Contact: alessio.deangelis@unipg.it, francesco.santoni@unipg.it
Indicative period: 3 - 28 June 2024
ABSTRACT: Information about the position of users, structures, and systems is crucial in many engineering applications. This course presents an overview of the main characteristics and requirements of location-aware applications in several operating scenarios, together with the fundamental electronic measurement techniques. Methods and algorithms for static position estimation and dynamic tracking are also described.
Part of study materials already presented in past editions of the course:
Kalman filters: linear, extended, unscented. Download >>
Linear Least Squares. Introductory and advanced topics:
Introduction: Prerequisites; Basic concepts and notation; General terminology for estimators
Ordinary Least Squares: Review of linear algebra; Ordinary Least Squares - OLS; Properties of the OLS estimator; Weighted least squares; Summary on the OLS estimator
LS solution of an under-determined linear system: A constrained optimization problem
Singular Value Decomposition: Review of linear algebra preliminary to SVD; Singular Value Decomposition - statement and proof
General LS solution for ANY linear system; Introduction to the general LS solution; The general LS solution; Geometrical interpretation of LS; Properties of the general LS estimator
Generalized Gauss-Markov theorem: Introduction; Estimable linear functions; Generalized Gauss-Markov theorem.
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