https://github.com/qlyoung/gps-nllsq

application of nonlinear least squares optimization to GPS
https://github.com/qlyoung/gps-nllsq

Last synced: 25 days ago
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application of nonlinear least squares optimization to GPS

• Host: GitHub
• URL: https://github.com/qlyoung/gps-nllsq
• Owner: qlyoung
• Created: 2016-02-19T04:50:52.000Z (over 8 years ago)
• Default Branch: master
• Last Pushed: 2016-02-22T18:02:33.000Z (over 8 years ago)
• Last Synced: 2023-08-17T08:39:19.413Z (about 1 year ago)
• Language: Matlab
• Size: 209 KB
• Stars: 0
• Watchers: 1
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# gps-nllsq

  *application of nonlinear least squares optimization to GPS*

Fun little applied math project. Given the positions of several satellites in space and corresponding signal latencies

to an unknown point on Earth, how can that point be determined? Clock latency and atmospheric scattering must be accounted

for in order to obtain an accurate measurement. In this particular model there are 4 unknowns: the components of the

unknown location in 3-space and system clock latency. With 4 uniquely positioned satellites, calculation of residuals

yields a system of 4 nonlinear equations in 4 unknowns, the solution to which may be precisely determined by numerical

methods. With more satellites, however, the system becomes overdetermined and must be optimized. Here the chosen

optimization technique is the method of least squares. Since the numbers are rather messy, Matlab takes care of them.

Pretty neat!

License

-------

```

Copyright (C) 2016  Quentin Young

This program is free software: you can redistribute it and/or modify

it under the terms of the GNU General Public License as published by

the Free Software Foundation, either version 3 of the License, or

(at your option) any later version.

This program is distributed in the hope that it will be useful,

but WITHOUT ANY WARRANTY; without even the implied warranty of

MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the

GNU General Public License for more details.

You should have received a copy of the GNU General Public License

along with this program.  If not, see http://www.gnu.org/licenses/.

```