12.540 Principles of the Global Positioning System Prof. Thomas Herring 12540Lec01 Overview of class Aim To introduce the principles of the operation of the gPs system and its applications There is flexibility in the exact content of the course depending on student interests Generic topics include millimeter accuracy positioning and kinematic GPS Emphasis is on fundamental principles and limitations 02/5/03 2540Lec01
12.540 Principles of the Global Positioning System Prof. Thomas Herring 02/05/03 12.540 Lec 01 1 Overview of class • Aim: To introduce the principles of the operation of the GPS system and its applications • There is flexibility in the exact content of the course depending on student interests • Generic topics include millimeter accuracy positioning and kinematic GPS • Emphasis is on fundamental principles and limitations 02/05/03 12.540 Lec 01 2 1
Class expectations This is a graduate level class. There is no final exam Grading in the class is based on homework (75%)and on a final written report (25% The report will be revised during semester and should be 2000-3000 words 8-10 double spaced pages Topic for the paper will be due around Spring 12540Lec01 Class behavior It will be acceptable in this course to work together on homework with the aim of better understanding the material and to refer to other books and published material provided that these additional materials are cited appropriately in the homework. Each student should complete the homework separately. It is not acceptable to simply copy the homework of another student 02/5/03 2540Lec01
02/05/03 12.540 Lec 01 3 • • • • break 02/05/03 12.540 Lec 01 4 • It Class expectations This is a graduate level class. There is no final exam Grading in the class is based on homework (75%) and on a final written report (25%) The report will be revised during semester and should be 2000-3000 words (8-10 double spaced pages) Topic for the paper will be due around Spring Class Behavior It will be acceptable in this course to work together on homework with the aim of better understanding the material and to refer to other books and published material provided that these additional materials are cited appropriately in the homework. Each student should complete the homework separately. is not acceptable to simply copy the homework of another student. 2
Basic course outline Classes 1: Coordinate and Time systems 2: Satellite orbital motions 3: Estimation procedures 4: GPS Observables 5: Propagation medium 6: Mathematical model of GPS observables 7: Methods of processing GPs data 22443442 8: Applications and examples of GPs 12540Lec01 Topics to be covered Coordinate and time systems When working at the millimeter level globally, how do you define a coordinate system What does latitude, longitude and height really mean at this accuracy Light propagates 30 cm in 1 nano-second, how is time defined 02/5/03 12540Lec01
02/05/03 12.540 Lec 01 5 Basic course outline • • • • • • • • Classes 2 2 4 4 3 4 4 2 1: Coordinate and Time systems 2: Satellite orbital motions 3: Estimation procedures 4: GPS Observables 5: Propagation medium 6: Mathematical model of GPS observables 7: Methods of processing GPS data 8: Applications and examples of GPS. 02/05/03 12.540 Lec 01 6 Topics to be covered • system Coordinate and time systems: – When working at the millimeter level globally, how do you define a coordinate – What does latitude, longitude, and height really mean at this accuracy – Light propagates 30 cm in 1 nano-second, how is time defined 3
Topics Satellite motions How are satellite orbits described and how do the satellites move What forces effect the motions of satellites What do gps satellite motions look like and what are the main perturbations to the orbits Where do you obtain GPS satellite orbits 12540Lec01 Topics GPS observables GPS signal structure and its uniqueness Pseudo-range measurements Carrier phase measurements Initial phase ambiguities Effects of GPS security: Selective availability (SA)and antispoofing(AS) Data formats(RINEX) 02/5/03 2540Lec01
02/05/03 12.540 Lec 01 7 Topics • orbits 02/05/03 12.540 Lec 01 8 Topics • GPS observables Satellite motions – How are satellite orbits described and how do the satellites move – What forces effect the motions of satellites – What do GPS satellite motions look like and what are the main perturbations to the – Where do you obtain GPS satellite orbits – GPS signal structure and its uniqueness – Pseudo-range measurements – Carrier phase measurements – Initial phase ambiguities – Effects of GPS security: Selective availability (SA) and antispoofing (AS) – Data formats (RINEX) 4
Topics Estimation procedures Simple weighted-least-squares estimation Stochastic descriptions of random variables and parameters Kalman filtering Statistics in estimation procedures Propagation of variance-covariance information 12540Lec01 opICS Propagation medium Neutral atmosphere delay Hydrostatic and water vapor contributions ionospheric delay( dispersive) Multipath 2540Lec01
02/05/03 12.540 Lec 01 9 Topics • Estimation procedures information 02/05/03 12.540 Lec 01 10 Topics • Propagation medium – Simple weighted-least-squares estimation – Stochastic descriptions of random variables and parameters – Kalman filtering – Statistics in estimation procedures – Propagation of variance-covariance – Neutral atmosphere delay – Hydrostatic and water vapor contributions – Ionospheric delay (dispersive) – Multipath 5