On the integer normal distribution of the GPS ambiguities.

Carrier phase ambiguity resolution is the key to fast and high precision GPS kinematic positioning. Critical in the application of ambiguity resolution is the quality of the computed integer ambiguities. Unsuccessful ambiguity resolution, when passed unnoticed, will too often lead to unacceptable er...

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Main Author: Teunissen, Peter
Format: Journal Article
Language:English
Published: 1998
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/39304
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author Teunissen, Peter
author_facet Teunissen, Peter
author_sort Teunissen, Peter
building Curtin Institutional Repository
collection Online Access
description Carrier phase ambiguity resolution is the key to fast and high precision GPS kinematic positioning. Critical in the application of ambiguity resolution is the quality of the computed integer ambiguities. Unsuccessful ambiguity resolution, when passed unnoticed, will too often lead to unacceptable errors in the positioning results. In order to describe the quality of the integer ambiguities, their distributional properties need to be known. This contribution introduces the probability mass function of the integer least-squares ambiguities. This integer normal distribution is needed in order to infer objectively whether or not ambiguity resolution can eexpected to be successful. Some of its properties are discussed. Attention is given in particular to the probability of correct integer estimation. Various diagnostic measures are presented for evaluating this probability.
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spelling curtin-20.500.11937-393042017-01-30T14:32:36Z On the integer normal distribution of the GPS ambiguities. Teunissen, Peter Ambiguity Resolution - Integer Normal Distribution - Probability of Correct Integer Ambiguity Estimation Carrier phase ambiguity resolution is the key to fast and high precision GPS kinematic positioning. Critical in the application of ambiguity resolution is the quality of the computed integer ambiguities. Unsuccessful ambiguity resolution, when passed unnoticed, will too often lead to unacceptable errors in the positioning results. In order to describe the quality of the integer ambiguities, their distributional properties need to be known. This contribution introduces the probability mass function of the integer least-squares ambiguities. This integer normal distribution is needed in order to infer objectively whether or not ambiguity resolution can eexpected to be successful. Some of its properties are discussed. Attention is given in particular to the probability of correct integer estimation. Various diagnostic measures are presented for evaluating this probability. 1998 Journal Article http://hdl.handle.net/20.500.11937/39304 en restricted
spellingShingle Ambiguity Resolution - Integer Normal Distribution - Probability of Correct Integer Ambiguity Estimation
Teunissen, Peter
On the integer normal distribution of the GPS ambiguities.
title On the integer normal distribution of the GPS ambiguities.
title_full On the integer normal distribution of the GPS ambiguities.
title_fullStr On the integer normal distribution of the GPS ambiguities.
title_full_unstemmed On the integer normal distribution of the GPS ambiguities.
title_short On the integer normal distribution of the GPS ambiguities.
title_sort on the integer normal distribution of the gps ambiguities.
topic Ambiguity Resolution - Integer Normal Distribution - Probability of Correct Integer Ambiguity Estimation
url http://hdl.handle.net/20.500.11937/39304