An Effective Algorithm for Elimination of Outliers from Data Measurements of Global Navigation Satellite Systems

Безменов, И. В.; Naumov, A. V.; Pasynok, S. L.

doi:10.1007/s11018-018-1518-y

Cited by 7 publications

(4 citation statements)

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“…(3)- 7, then an arbitrary permutation of the numbers y j 1 , … ,y j L max will also be the optimal solution of the problem described by Eqs. (3)- (7). Thus, the optimal solution does not depend on the arrangement of given numbers y j .…”

Section: Assertion 1 Let the Set Y Optmentioning

confidence: 98%

“…Below we will formulate the problem of searching for a solution, complementing the conditions expressed in Eqs. (3)-(5) with two extreme conditions [7].…”

Section: Statement Of the Problem: A Melbourne-wübbena Combinationmentioning

confidence: 99%

“…(3)-(7), we refer to as the optimal solution of the problem expressed in Eqs. (3)- (7). The corresponding SD value is denoted by σ opt .…”

Section: Statement Of the Problem: A Melbourne-wübbena Combinationmentioning

confidence: 99%

“…Thus, the problem consists in the creation of a search algorithm for the optimal solution of the problem shown in Eqs. (3)- (7).…”

Section: Statement Of the Problem: A Melbourne-wübbena Combinationmentioning

confidence: 99%

See 3 more Smart Citations

Effective Algorithms for Detection Outliers and Cycle Slip Repair in GNSS Data Measurements

Безменов¹

2021

Satellite Systems - Design, Modeling, Simulation and Analysis

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The chapter describes effective algorithms that are often used in processing data measurements in Global Navigation Satellite Systems (GNSSs). Existing effective algorithm was developed for detection and elimination of outliers from GNSS data measurements. It is based on searching for a so-called optimal solution for which standard deviation and maximum absolute deviation of the measured data from mean values do not exceed specified threshold values, and the number of the detected outliers is minimal. A modification of this algorithm with complexity of N log 2 N is discussed. Generalization of the existing algorithm to the case when data series included some unknown trend will be presented. The processing trend is assumed to be described by an unknown function of time. The generalized algorithm includes the outlier detection algorithm and trend searching algorithm that has been tested using simulated data. A new algorithm will be presented for cycle slip repair using Melbourne-Wübbena linear combination formed from GNSS data measurements on two carrier frequencies. Test results for repair data in the case of multiple (cascade) cycle slips in actual observation data will also be presented in this chapter.

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Section: Assertion 1 Let the Set Y Optmentioning

confidence: 98%

“…Below we will formulate the problem of searching for a solution, complementing the conditions expressed in Eqs. (3)-(5) with two extreme conditions [7].…”

Section: Statement Of the Problem: A Melbourne-wübbena Combinationmentioning

confidence: 99%

“…(3)-(7), we refer to as the optimal solution of the problem expressed in Eqs. (3)- (7). The corresponding SD value is denoted by σ opt .…”

Section: Statement Of the Problem: A Melbourne-wübbena Combinationmentioning

confidence: 99%

“…Thus, the problem consists in the creation of a search algorithm for the optimal solution of the problem shown in Eqs. (3)- (7).…”

Section: Statement Of the Problem: A Melbourne-wübbena Combinationmentioning

confidence: 99%

See 2 more Smart Citations

Effective Algorithms for Detection Outliers and Cycle Slip Repair in GNSS Data Measurements

Безменов¹

2021

Satellite Systems - Design, Modeling, Simulation and Analysis

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A Strategy for Finding Outliers in Noisy Data Series Including an Unknown Trend

Безменов¹,

Drozdov²,

Pasynok³

2022

Meas Tech

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Method of Cleaning Outliers from Measurement Data: Search for the Optimal Solution with the Minimum Number of Rejected Measured Data

Безменов¹

2023

Meas Tech

View full text Add to dashboard Cite

An Effective Algorithm for Elimination of Outliers from Data Measurements of Global Navigation Satellite Systems

Cited by 7 publications

References 0 publications

Effective Algorithms for Detection Outliers and Cycle Slip Repair in GNSS Data Measurements

Effective Algorithms for Detection Outliers and Cycle Slip Repair in GNSS Data Measurements

A Strategy for Finding Outliers in Noisy Data Series Including an Unknown Trend

Method of Cleaning Outliers from Measurement Data: Search for the Optimal Solution with the Minimum Number of Rejected Measured Data

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