Experimental Study on GPS Non-linear Least Squares Positioning Algorithm

Du, Xueming; Liu, Li; Li, Huaijian

doi:10.1109/icicta.2010.651

Cited by 10 publications

(5 citation statements)

References 3 publications

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“…"Least squares" means that the overall solution minimizes the sum of the squares of the errors made in the results of every single equation. The intent of error is the difference between the observed data and the amount obtained from the model [17]. Now by using pseudorange data and LS, we determine the position of a moving object.…”

Section: Positioning Using Least Squares Methodsmentioning

confidence: 99%

Accurate Solution of Navigation Equations in GPS Receivers for Very High Velocities Using Pseudorange Measurements

Rahemi

Mosavi

Abedi

et al. 2014

Advances in Aerospace Engineering

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GPS is a satellite-based navigation system that is able to determine the exact position of objects on the Earth, sky, or space. By increasing the velocity of a moving object, the accuracy of positioning decreases; meanwhile, the calculation of the exact position in the movement by high velocities like airplane movement or very high velocities like satellite movement is so important. In this paper, seven methods for solving navigation equations in very high velocities using least squares method and its combination with the variance estimation methods for weighting observations based on their qualities are studied. Simulations on different data with different velocities from 100 m/s to 7000 m/s show that proposed method can improve the accuracy of positioning more than 50%.

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Section: Positioning Using Least Squares Methodsmentioning

confidence: 99%

Accurate Solution of Navigation Equations in GPS Receivers for Very High Velocities Using Pseudorange Measurements

Rahemi

Mosavi

Abedi

et al. 2014

Advances in Aerospace Engineering

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show abstract

“…However the system is nonlinear, (6) does not provide the desired solution directly and it has to be used repetitively in an iterative way to obtain the desired solution [6]. In LSE it is observed that the apriori information of state is obtained from a known initial point.…”

Section: Least Square Estimatormentioning

confidence: 98%

A Novel TOA measurement based global evolutionary search estimator for defence applications

Laveti

Rao

Kumar

et al. 2015

2015 International Conference on Electrical, Electronics, Signals, Communication and Optimization (EESCO)

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Time of Flight (TOF), popularly Time of Arrival (TOA) is the time a radio signal takes to reach the receiver from a remote transmitter. TOA measurements are broadly used for source localization and position fixing in civil and defence applications. The accuracy in position fix is primarily influenced by factors like error in TOA measurements and position estimation solution employed. Though the accuracy and precision in position estimate are acceptable to tens of meters in civil applications, there are radio-navigation systems like GPS in defense, demand mill-meter level accuracy. Defense systems like CAT I & II air craft landing, missile guidance and tracking need high precision in position estimate. This paper focuses in developing a new TOA based precise navigation solution, grown out from the inherent features of traditional Least Squares (LS) and Global Evolutionary Search (GES) Estimators. To validate the algorithm, real world data collected from Dual Frequency GPS (DFGPS) receiver located at IISC, Bangalore (Lat/Lon: 13.01 o N / 77.56 o E) is used and Position accuracy measuresCircular Error probable (CEP), Spherical Error probable (SEP), MRSE (Mean Radial Spherical Error) and Distance Root Mean Square (DRMS) are used to analyse the algorithm performance.

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“…However the system is nonlinear, (8) does not provide the desired solution directly and it has to be used repetitively in an iterative way to obtain the desired solution [6]. In LS estimator it is observed that the apriori information of state is obtained from a known point and no system dynamics are taken into account in estimating the system parameters, does not make this algorithm suitable for dynamic GPS receivers where system parameters keep change with time [7].…”

Section: … (2)mentioning

confidence: 99%

GPS receiver SPS accuracy assessment using LS and LQ estimators for precise navigation

Laveti

Rao

Rani

et al. 2014

2014 Annual IEEE India Conference (INDICON)

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Global Positioning System (GPS) is the emerging technology extending its applications in the field of surveying, navigation, military etc., and these applications demands multiple levels of accuracy ranging from tens of meters to sub-millimetre level. Hence there is a need to develop systems, methods and a technique to meet the demand of high accuracy. GPS provides its services in two different standards, Standard Positioning Services (SPS) and Precise Positioning Services (PPS).The accuracy of these services is influenced by various measurement biases and random errors. Many of the biases and errors can be minimized by proper modelling of the biases, GPS technique employed and position estimate solution. This paper focuses in improving the accuracy of SPS GPS receiver by correcting relativistic and satellite clock errors in the C/A (Coarse/Acquisition) measurements. It also proposes an accurate position estimate method among Least Squares Estimator (LSE) and Linear Quadratic Estimator (LQE).The performance of these estimators are analysed with Position Accuracy Measures (PAM) and Statistical Error Measures (SAM). The practical data used for processing and analysis is collected on L1 (1575.42MHz) frequency over a period of 24 hrs from the SPS DualFrequency GPS (DFGPS) receivers located at IISC, Bangalore (Lat/Lon: 13.01 o N / 77.56 o E) and Andhra University (AU), Visakhapatnam (Lat/Lon: 17.72 o N / 83.32 o E).

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Experimental Study on GPS Non-linear Least Squares Positioning Algorithm

Cited by 10 publications

References 3 publications

Accurate Solution of Navigation Equations in GPS Receivers for Very High Velocities Using Pseudorange Measurements

Accurate Solution of Navigation Equations in GPS Receivers for Very High Velocities Using Pseudorange Measurements

A Novel TOA measurement based global evolutionary search estimator for defence applications

GPS receiver SPS accuracy assessment using LS and LQ estimators for precise navigation

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