NDLI: Bounding the integer bootstrapped GNSS baseline’s tail probability in the presence of stochastic uncertainty

Content Provider	Springer Nature Link
Author	Langel, Steven E. Khanafseh, Samer M. Pervan, Boris
Copyright Year	2016
Abstract	Differential carrier phase applications that utilize cycle resolution need the probability density function of the baseline estimate to quantify its region of concentration. For the integer bootstrap estimator, the density function has an analytical definition that enables probability calculations given perfect statistical knowledge of measurement and process noise. This paper derives a method to upper bound the tail probability of the integer bootstrapped GNSS baseline when the measurement and process noise correlation functions are unknown, but can be upper and lower bounded. The tail probability is shown to be a non-convex function of a vector of conditional variances, whose feasible region is a convex polytope. We show how to solve the non-convex optimization problem globally by discretizing the polytope into small hyper-rectangular elements, and demonstrate the method for a static baseline estimation problem.
Starting Page	1293
Ending Page	1305
Page Count	13
File Format	PDF
ISSN	09497714
Journal	Journal of Geodesy
Volume Number	90
Issue Number	11
e-ISSN	14321394
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-06-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cycle ambiguity resolution Integer bootstrapping Mixed real/integer estimation High integrity differential carrier phase navigation Non-convex optimization Stochastic model uncertainty Geophysics/Geodesy Earth Sciences
Content Type	Text
Resource Type	Article
Subject	Geophysics Geochemistry and Petrology Computers in Earth Sciences

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Influence of ambiguity precision on the success rate of GNSS integer ambiguity bootstrapping

Integer aperture bootstrapping: a new GNSS ambiguity estimator with controllable fail-rate

Penalized GNSS Ambiguity Resolution

Generalized integer aperture estimation for partial GNSS ambiguity fixing

GNSS integer ambiguity validation based on posterior probability

Integer least-squares theory for the GNSS compass

A new method for three-carrier GNSS ambiguity resolution

The probability distribution of the ambiguity bootstrapped GNSS baseline

GNSS antenna array-aided CORS ambiguity resolution

Bounding the integer bootstrapped GNSS baseline’s tail probability in the presence of stochastic uncertainty

Similar Documents

Influence of ambiguity precision on the success rate of GNSS integer ambiguity bootstrapping

Integer aperture bootstrapping: a new GNSS ambiguity estimator with controllable fail-rate

Penalized GNSS Ambiguity Resolution

Generalized integer aperture estimation for partial GNSS ambiguity fixing

GNSS integer ambiguity validation based on posterior probability

Integer least-squares theory for the GNSS compass

A new method for three-carrier GNSS ambiguity resolution

The probability distribution of the ambiguity bootstrapped GNSS baseline

GNSS antenna array-aided CORS ambiguity resolution

Bounding the integer bootstrapped GNSS baseline’s tail probability in the presence of stochastic uncertainty