Receiver clock-based integrity monitoring for GPS precision approaches

Bednarz, S.; Misra, P.

doi:10.1109/taes.2006.1642578

Cited by 19 publications

(15 citation statements)

References 2 publications

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“…In (3)(4)(5)(6)(7)(8)(9)(10)(11), three unknowns are left and ordinary linear algebraic techniques can be used to solve it. As this algorithm uses physical approximation to obtain a solution, we call it Physically Approximate Direct algorithm (PAD for short).…”

Section: ) Approximate Direct Algorithmsmentioning

confidence: 99%

Performance Comparison of Positioning Algorithms for Complex GPS Systems

Yuan

Chen

et al. 2012

2012 32nd International Conference on Distributed Computing Systems Workshops

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In this paper, we first present a classification for existing GPS positioning algorithms based on their features of mathematical operations in the calculating process and the accuracy of the solutions solved. Then we systematically evaluate and compare the performance of GPS algorithms for practical environments. Performance metrics include normalized execution time and the absolute error. We examine the performance of traditional Newton-Raphson algorithm as well as those newly proposed ones. We find that while the traditional Newton-Raphson algorithm does deliver a reasonable performance, others may over-perform it by a good margin.

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Section: ) Approximate Direct Algorithmsmentioning

confidence: 99%

Performance Comparison of Positioning Algorithms for Complex GPS Systems

Yuan

Chen

et al. 2012

2012 32nd International Conference on Distributed Computing Systems Workshops

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“…Related experiments have demonstrated that when the clock frequency of GPS receiver keeps stable, the RCB series can be modeled and fitted by a polynomial model [8]. Accordingly, the paper takes advantage of the polynomial model to distill the trend of the RCB series, and obtain the predicted series …”

Section: B the Prediction Of Lfcmentioning

confidence: 99%

“…The bias is called receiver clock bias and short for RCB in the paper. If the clock frequency keeps steady, a prediction model of the RCB series can be obtained by using a length of history data [8]. Hence, the RCB series can be regarded as one visible satellite, and the prediction model on it is then introduced into GPS receiver for positioning calculation under the conditions of only three satellites.…”

Section: Introductionmentioning

confidence: 99%

The Clock-Aided Method for GPS Receiver Positioning in an Urban Environment

Teng¹,

Shi²,

Zhi³

2011

IJCEE

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Abstract-As the signals of GPS satellites are susceptible to obstructions in an urban environment with many tall buildings around, the number of visible satellites is usually less than four. In the circumstances, the normal positioning method can not be used for positioning calculation. In order to obtain continuous positioning results under three satellites, the series of receiver clock bias (RCB) is considered as one visible satellite in this paper. A combined model for predicting the RCB series based on the theory of time series analysis is presented firstly. And then the model is used to aid the normal positioning method for positioning calculation under the conditions of three satellites. From both static and dynamic experiments, it is shown that the prediction model is fit for predicting the RCB series, and the clock-aided positioning method aiding of the prediction model can implement the function of three-dimensional positioning calculation even if there are only three visible satellites. Index Terms-Urban environment, Positioning calculation, Receiver clock bias (RCB), Combined prediction model I. INTRODUCTIONAs a high-precision positioning technology, the Global Positioning System (GPS) plays an important role in our daily lives [1]. Normally, there must be at least four satellites in view so that the positioning results of the GPS receivers can be obtained [2,3]. However, in certain applications, for example in an urban environment with many tall buildings around, there are situations wherein the requirement of a minimum of four satellites is not satisfied because of the obstructions to receiver-to-satellite line of sights. In this case, the traditional method cannot be used for calculating the position of GPS receiver anymore. How to deal with this bad-conditioned problem so that the GPS receiver can provide continuous and reliable positioning information is the main theme of this paper.In order to obtain the continuous and reliable positioning information of GPS receivers under bad conditions, several methods have been presented. Jan solved the problem from three satellites and altimeter [4], Hong combined GPS Manuscript received January 15, 2011; revised April 18, 2011 receiver with the Inertial navigation system [5]. Liu made use of the additional information provided by pseudolite [6]. If a road map database exists, the map-matching technique can also be utilized [7]. The common characters of these methods need external hardware. The above mentioned methods may be useful, but not efficient. In fact, the cost of them has great impact on their popularization.Actually, besides the position information, the clock bias between GPS receiver and GPS system is given when the function of positioning calculation is executed normally. The bias is called receiver clock bias and short for RCB in the paper. If the clock frequency keeps steady, a prediction model of the RCB series can be obtained by using a length of history data [8]. Hence, the RCB series can be regarded as one visible satellite, and the predi...

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“…& Thomas Krawinkel krawinkel@ife.uni-hannover.de at least four satellites are necessary for positioning (Bednarz and Misra 2006); especially in case of kinematic positioning, the overall situation can be significantly improved if more stable receiver clocks are available and the information about their frequency stability can be introduced into the estimation process (Sturza 1983;Weinbach 2013). The basic requirement for this receiver clock modeling (RCM) approach is a clock noise smaller than the receiver noise over the modeling interval (Weinbach and Schön 2011).…”

Section: Introductionmentioning

confidence: 99%

Benefits of receiver clock modeling in code-based GNSS navigation

Krawinkel

Schön

2015

GPS Solut

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Due to the limited frequency stability and poor accuracy of typical quartz oscillators built-in GNSS receivers, an additional receiver clock error has to be estimated in addition to the coordinates. This leads to several drawbacks especially in kinematic applications: At least four satellites in view are needed for navigation, high correlations between the clock estimates and the up-coordinates. This situation can be improved distinctly when connecting atomic clocks to GNSS receivers and modeling their behavior in a physically meaningful way (receiver clock modeling). Recent developments in miniaturizing atomic clocks result in so-called chip-scale atomic clocks and open up the possibility of using stable atomic clocks in GNSS navigation. We present two different methods of receiver clock modeling, namely in an extended Kalman filter and a sequential least-squares adjustment for codebased GNSS navigation using three different miniaturized atomic clocks. Using the data of several kinematic test drives, the benefits of clock modeling for GPS navigation solutions are assessed: decrease in the noise of the upcoordinates by up to 69 % to 20 cm level, decrease in minimal detectable biases by 16 %, and elimination of spikes and subsequently decrease in large position errors (35 %). Hence, a more robust position is obtained. Additionally, artificial partial satellite outages are generated to demonstrate position solutions with only three satellites in view.

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Receiver clock-based integrity monitoring for GPS precision approaches

Cited by 19 publications

References 2 publications

Performance Comparison of Positioning Algorithms for Complex GPS Systems

Performance Comparison of Positioning Algorithms for Complex GPS Systems

The Clock-Aided Method for GPS Receiver Positioning in an Urban Environment

Benefits of receiver clock modeling in code-based GNSS navigation

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