Simultaneous estimation of ionospheric delays and receiver differential code bias by a single GPS station

Choi, Kwang Ho; Lee, Je Young; Kim, Hee Sung; Kim, Jeongrae

doi:10.1088/0957-0233/23/6/065002

“…The second use, which we shall consider in our analysis, is to generate local VTEC using GNSS data from a single receiver. This use is in particular beneficial for monitoring 4 / 30 the spatial and temporal evolution of the ionosphere over a given location (Choi et al 2012;Sezen et al 2013). At the same time, the attractiveness of DF approach lies also in its ability to provide SDCB estimates as by-products.…”

Section: Introductionmentioning

confidence: 99%

Joint estimation of vertical total electron content (VTEC) and satellite differential code biases (SDCBs) using low-cost receivers

Zhang

¹

,

Teunissen

²

,

Yuan

³

et al. 2017

J Geod

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Vertical Total Electron Content (VTEC) parameters estimated using Global NavigationSatellite System (GNSS) data are of great interest for ionosphere sensing. Satellite Differential Code Biases (SDCBs) account for one source of error which, if left uncorrected, can deteriorate performance of positioning, timing and other applications. The customary approach to estimate VTEC along with SDCBs from dual-frequency GNSS data, hereinafter referred to as DF approach, consists of two sequential steps. The first step seeks to retrieve ionospheric observables through the Carrier-to-Code Leveling (CCL) technique. This observable, related to the Slant Total Electron Content (STEC) along the satellite-receiver line-of-sight, is biased also by the SDCBs and the Receiver Differential Code Biases (RDCBs). By means of thin-layer ionospheric model, in the second step one is able to isolate the VTEC, the SDCBs and the RDCBs from the ionospheric observables. In this work, we present a 2 / 30 single-frequency (SF) approach, enabling the joint estimation of VTEC and SDCBs using low-cost receivers; this approach is also based on two steps and it differs from the DF approach only in the first step, where we turn to the Precise Point Positioning (PPP) technique to retrieve from the single-frequency GNSS data the ionospheric observables, interpreted as the combination of the STEC, the SDCBs and the biased receiver clocks at the pivot epoch. Our numerical analyses clarify how SF approach performs when being applied to GPS L1 data collected by a single receiver under both calm and disturbed ionospheric conditions. The daily time series of zenith VTEC estimates has an accuracy ranging from a few tenths of a TEC unit (TECU) to approximately 2 TECU. For 73 to 96 percent of GPS satellites in view, the daily estimates of SDCBs do not deviate, in absolute value, more than 1 nanosecond from their ground-truth values published by the Centre for Orbit Determination in Europe (CODE).

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“…This section describes the overall structure of the proposed method. Before the explanation, the well-known single-layer ionosphere model is briefly described [20,31]. Figure 1 shows the overall geometry of the single-layer model consisting of satellites, receivers, ionosphere, and IPPs.…”

Section: Overall Structurementioning

confidence: 99%

“…In the IPP-based VID estimation method, each VID is modeled as the low-order polynomial. The coefficients of the polynomial with satellite differential code bias (SDCB) and receiver differ ential code bias (RDCB) are estimated using least-square adjustment or Kalman filtering [15][16][17][18][19][20]. Then VID estimates at IPPs are interpolated to the VID estimates at ionospheric grid points (IGPs) by Kriging [10-14, 21, 22, 37-39] or other spatial interpolation methods such as inverse distance weighting (IDW), etc.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed method consists of many local filters applied to each GPS receiver and single fusion estimator for low complexity and less processing time. Each local filter is a Kalman filter applied to each dual-frequency GPS receiver to estimate VIDs and RDCB [20]. The single fusion estimator implements the Kriging algorithm to combine the VID estimates at irregularly distributed IPPs and generates RIM on regular IGPs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Distributed processing of a GPS receiver network for a regional ionosphere map

Choi

¹

,

Lim

²

,

Yoo

³

2017

Meas. Sci. Technol.

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This paper proposes a distributed processing method applicable to GPS receivers in a network to generate a regional ionosphere map accurately and reliably. For accuracy, the proposed method is operated by multiple local Kalman filters and Kriging estimators. Each local Kalman filter is applied to a dual-frequency receiver to estimate the receiver’s differential code bias and vertical ionospheric delays (VIDs) at different ionospheric pierce points. The Kriging estimator selects and combines several VID estimates provided by the local Kalman filters to generate the VID estimate at each ionospheric grid point. For reliability, the proposed method uses receiver fault detectors and satellite fault detectors. Each receiver fault detector compares the VID estimates of the same local area provided by different local Kalman filters. Each satellite fault detector compares the VID estimate of each local area with that projected from the other local areas. Compared with the traditional centralized processing method, the proposed method is advantageous in that it considerably reduces the computational burden of each single Kalman filter and enables flexible fault detection, isolation, and reconfiguration capability. To evaluate the performance of the proposed method, several experiments with field collected measurements were performed.

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“…The second use, which we shall consider in our analysis, is to generate local VTEC using GNSS data from a single receiver. This use is in particular beneficial for monitoring the spatial and temporal evolution of the ionosphere over a given location (Choi et al 2012;Sezen et al 2013). At the same time, the attractiveness of DF approach lies also in its ability to provide SDCB estimates as by-products.…”

Section: Introductionmentioning

confidence: 99%

Single-frequency L5 attitude determination from IRNSS/NavIC and GPS: a single- and dual-system analysis

Zaminpardaz

¹

,

Teunissen

²

,

Nadarajah

³

2017

J Geod

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Vertical Total Electron Content (VTEC) parameters estimated using Global NavigationSatellite System (GNSS) data are of great interest for ionosphere sensing. Satellite Differential Code Biases (SDCBs) account for one source of error which, if left uncorrected, can deteriorate performance of positioning, timing and other applications. The customary approach to estimate VTEC along with SDCBs from dual-frequency GNSS data, hereinafter referred to as DF approach, consists of two sequential steps. The first step seeks to retrieve ionospheric observables through the Carrier-to-Code Leveling (CCL) technique. This observable, related to the Slant Total Electron Content (STEC) along the satellite-receiver line-of-sight, is biased also by the SDCBs and the Receiver Differential Code Biases (RDCBs). By means of thin-layer ionospheric model, in the second step one is able to isolate the VTEC, the SDCBs and the RDCBs from the ionospheric observables. In this work, we present a 2 / 30 single-frequency (SF) approach, enabling the joint estimation of VTEC and SDCBs using low-cost receivers; this approach is also based on two steps and it differs from the DF approach only in the first step, where we turn to the Precise Point Positioning (PPP) technique to retrieve from the single-frequency GNSS data the ionospheric observables, interpreted as the combination of the STEC, the SDCBs and the biased receiver clocks at the pivot epoch. Our numerical analyses clarify how SF approach performs when being applied to GPS L1 data collected by a single receiver under both calm and disturbed ionospheric conditions. The daily time series of zenith VTEC estimates has an accuracy ranging from a few tenths of a TEC unit (TECU) to approximately 2 TECU. For 73 to 96 percent of GPS satellites in view, the daily estimates of SDCBs do not deviate, in absolute value, more than 1 nanosecond from their ground-truth values published by the Centre for Orbit Determination in Europe (CODE).

show abstract

Simultaneous estimation of ionospheric delays and receiver differential code bias by a single GPS station

Cited by 7 publications

References 23 publications

Joint estimation of vertical total electron content (VTEC) and satellite differential code biases (SDCBs) using low-cost receivers

Joint estimation of vertical total electron content (VTEC) and satellite differential code biases (SDCBs) using low-cost receivers

Distributed processing of a GPS receiver network for a regional ionosphere map

Single-frequency L5 attitude determination from IRNSS/NavIC and GPS: a single- and dual-system analysis

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