2.3 - Solving the Linearized Navigation Equations
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- Опубликовано: 5 ноя 2024
- Standford University - 13 October 2014
Today, the Global Positioning System (GPS) is deployed in over three billion devices across the world. This course will teach you the fundamentals of how GPS works and introduce you to the diverse range of uses of satellite navigation-in all aspects of our lives.
Through vivid online lectures and a set of "backyard experiments" enabled by the widespread availability of GPS-enabled smart phones and tablets, students will be able to connect online learning to real-world experience. Even those who do not own laptop or desktop computers can take part; they will be able to view lectures and completing labs via mobile device only.
We hope students will enjoy the interactive nature of the course, while gaining knowledge that benefits their personal and professional lives. Please visit www.gps-lab.org for up-to-date details!
Syllabus
Part I. Fundamentals of GPS Introduction
Introduction
· How GPS works and what it does for us (Enge)
· Course objectives & schedule (Enge, van Diggelen)
· The Joy of GPS (van Diggelen)
Module 1: How GPS Works (Enge)
· How GPS works
· Navigation in Our Lives: The Exxon Valdez
Module 2: Pseudoranges (Enge)
· Linearization & error analysis
· Accuracy & dilution of precision (DOP)
· Differential GPS
· Navigation in Our Lives: Landing Airplanes Using GPS
· Experiment A: Accuracy
Module 3: Orbits and Signals (Enge)
· Satellite orbits
· Signals, codes
· Navigation in Our Lives: Maritime & Air Surveillance
· Experiment B: Satellite Visibility
Part II. Modern GPS receivers: cell phones, tablets and more!
Module 4: Receiver Design Basics (van Diggelen)
· Power, Receiver design
· Acquisition
· Navigation in Our Lives: GPS in sports
· Experiment C: GPS Signal Power
Module 5: Assisted GPS (van Diggelen)
· Supplanting the Navigation Message
· Improving Sensitivity
· Navigation in Our Lives: “There’s an app for that”
Module 6: The Future of GPS and Satellite Navigation (van Diggelen)
· GNSS, all Global Navigation Satellite Systems
· GLONASS, QZSS, Beidou, Galileo, IRNSS, and Future GPS (GPS III)
· Navigation in Our Lives: GPS everywhere
these lessons are incredibly great but I have to be that pedantic student that you find in every class. Shouldn't the pseudo inverse matrix be (GTxG)-1 x GT? and not (GTxG)-1 x G
Yes I think it should be like you said
I agree!
@doomyman GT is the transposed matrix. If G would be that 10x4 matrix, the transpose of G (called GT here) is a 4x10 matrix.
If you multiply GT with G, you get a 10x10 matrix.. you can get the inverse of that square matrix.
But if you then mutiply with GT, you would end up with a 4x10 again.. but we need 10x4.
I think (GTxG)-1 x G is correct.
But yeah, it is confusing.. and i must say i have almost never worked with non-square matrices.
I am pretty sure it's incorrect@@coreC..
I find it pretty confusing that you keep using different notation for each slide for the same thing.
The slides would be too small to write down the whole matrices, because that would be a lot of numbers.
There are capitalized characters, and underscored ones, with a ~ and some with a ^. These are different things..