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Coming soon...

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. 

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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:

  1. Introduction: Prerequisites; Basic concepts and notation; General terminology for estimators

  2. Ordinary Least Squares: Review of linear algebra; Ordinary Least Squares - OLS; Properties of the OLS estimator; Weighted least squares; Summary on the OLS estimator

  3. LS solution of an under-determined linear system: A constrained optimization problem

  4. Singular Value Decomposition: Review of linear algebra preliminary to SVD; Singular Value Decomposition - statement and proof

  5. 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

  6. Generalized Gauss-Markov theorem: Introduction; Estimable linear functions; Generalized Gauss-Markov theorem.
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