Variance components estimation of residual errors in GPS precise positioning

Anđić, Darko

doi:10.15292/geodetski-vestnik.2016.03.467-482

Cited by 4 publications

(14 citation statements)

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“…Taking into account that antennas of the same type and, even, the same orientation were set at both ends of the elected baseline of 40 km in length, one states these effects can be neglected in this study. The same can be said for the ''near-field'' multipath effects, because both antennas were set in the same way and provided with the radomes of the same type, and, what is more important, there were not any prospective reflectors in the ''near-field'' environment of those antennas (see Figure 1 in Anđić (2016)).…”

Section: Introductionmentioning

confidence: 95%

“…The method involves a linear model based on the unbalanced two-way nested classification theory where random effects with no interactions are present (Searle, 1971). The model equation is written as (for details, see Anđić (2016)…”

Section: Two-way Nested Anova In Gps Precise Positioningmentioning

confidence: 99%

“…In Anđić (2016), the author proved the possibility of using the two-way nested classification with random effects with no interactions in variance components estimation for residuals arising due to the influence of multipath and the joint influence of ionospheric and tropospheric refraction with simultaneous separation of the pure error variance estimate. In other words, besides those related to the random effects, reliable ANOVA estimates for short-periodic and long-periodic residual effects were obtained.…”

Section: Introductionmentioning

confidence: 99%

“…As in Anđić (2016), the GPS infrastructure used includes two MontePos GPS permanent stations, located in Podgorica and Bar. Static-mode measurements, registered at each 30 s, are also used herein, but now during the four-year period 2008-2011, which was chosen since it involves the lowest and increased solar activity in the 11-year solar cycle.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the antennas have the same orientation. For post-processing of GPS measurements, the same software with the same settings as written in Anđić (2016) was used.…”

Section: Introductionmentioning

confidence: 99%

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Seasonal pattern in time series of variances of GPS residual errors ANOVA estimates

Anđić¹

2019

geod. vestn.

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In this paper, which represents a continuation of the previous author's work, an inconstancy of GPS residual error ANOVA estimates and their variances are presented. For the purpose of the analysis, fixed solutions for all of the three coordinates, e (eastwards), n (northwards) and u (upwards), obtained by using ionosphere-free (L0) linear combination of double-difference phase observations in the processing of GPS data, were employed. The aim of the research was to consider the behaviour of variances of GPS residual error ANOVA estimates in time because there has not been any paper dealing with that issue so far. Herein, it turned out a seasonal pattern in related time series was present. In addition, it was concluded there was a difference in ANOVA estimate extreme values obtained when one considered daily data subsets compared to those obtained in the approach considering monthly data of the fixed solutions. GPS data collected at ending stations of a baseline of 40 km in length within a four-year period, involving the lowest and increased solar activity, were used in calculations.V prispevku predstavljamo spremeljivost ANOVA-varianc časovnih vrst GPS-koordinat. Za namene analize smo določili koordinate na podlagi dvojnih faznih razlik opazovanj GPS z uporabo ionosferskega vpliva proste linearne kombinacije opazovanj (L0), ob faznih nedoločenostih, določenih v množici naravnih števil. Namen raziskave je bil ugotoviti značilnosti časovno spremenljivega obnašanja ANOVA-varianc časovne vrste koordinat in izkazalo se je, da je v časovnih vrstah koordinat prisoten sezonski vpliv. V primerjavi dnevnih in mesečnih koordinat so bile za dnevno določitev koordinat zaznane večje razlike med vrednostmi ANOVA-varianc. Pri izračunih smo uporabili podatke štirilenih opazovanj GPS za bazni vektor dolžine 40 kilometrov, pri čemer so bila opazovanja izvedena v obdobju nizke in tudi povečane Sončeve aktivnosti.

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Section: Introductionmentioning

confidence: 95%

Section: Two-way Nested Anova In Gps Precise Positioningmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In addition, the antennas have the same orientation. For post-processing of GPS measurements, the same software with the same settings as written in Anđić (2016) was used.…”

Section: Introductionmentioning

confidence: 99%

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