• Title/Summary/Keyword: Pseudorange

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Simplified Noise Modeling of GPS Measurements for a Fast and Reliable Cycle Ambiguity Resolution

  • Park, Byung-Woon;Kee, Chang-Don
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.535-540
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    • 2006
  • The relationship between the observable noise model and the satellite elevation angle can be modeled quite well by an exponential function.[Jin, 1996] Noise size and dependence on the elevation angle are, however, different for each observation and receiver type. Therefore, the coefficient determination of this model is an issue, and various methods including PR-CP, single difference, and time difference have been suggested. The limitations of them are difficulty to model the carrier phase noise and to eliminate bias. To overcome these disadvantages for using Jin's model, we suggest zero baseline double difference (DD) and noise sorting algorithm. Data DD technique in zero baseline is useful to eliminate all the troublesome GPS biases, and the remaining error is the sum of GPS measurement noises from two satellites. These DD residuals for hours should be sorted by the combination of satellite elevation angles, and then variance value of the residual for each combination can be estimated. Using these values, we construct an over-determined linear equation whose solution is a set of noise variance for each satellite elevation angle. With 24hr Trimble 4000ssi data, we easily worked out the coefficients of the noise model not only for pseudorange but also for carrier phase. We estimated the standard deviation of the measurement DD using our model, and plotted 1 and 3 sigma lines for every epoch to verify the representation of the residual error. 63.3% of pseudorange residual and 65.9% of phase error did not exceed the 1 sigma lines. Additionally, 99.2% and 99.5% of them lied within 3sigma line. These figures prove that the Gaussian property of measurement noise, and that the suggested model by our algorithm corresponds to the observable noise information.

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Fast Ambiguity Resolution using Galileo Multiple Frequency Carrier Phase Measurement

  • Ji, Shengyue;Chen, Wu;Zhao, Chunmei;Ding, Xiaoli;Chen, Yongqi
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.179-184
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    • 2006
  • Rapid and high-precision positioning with a Global Navigation Satellite System (GNSS) is feasible only when very precise carrier-phase observations can be used. There are two kinds of mathematical models for ambiguity resolution. The first one is based on both pseudorange and carrier phase measurements, and the observation equations are of full rank. The second one is only based on carrier phase measurement, which is a rank-defect model. Though the former is more commonly used, the latter has its own advantage, that is, ambiguity resolution will be freed from the effects of pseudorange multipath. Galileo will be operational. One of the important differences between Galileo and current GPS is that Galileo will provide signals in four frequency bands. With more carrier-phase data available, frequency combinations with long equivalent wavelength can be formed, so Galileo will provide more opportunities for fast and reliable ambiguity resolution than current GPS. This paper tries to investigate phase only fast ambiguity resolution performance with four Galileo frequencies for short baseline. Cascading Ambiguity Resolution (CAR) method with selected optimal frequency combinations and LAMBDA method are used and compared. To validate the resolution, two tests are used and compared. The first one is a ratio test. The second one is lower bound success-rate test. The simulation test results show that, with LAMBDA method, whether with ratio test or lower bound success rate validation criteria, ambiguity can be fixed in several seconds, 8 seconds at most even when 1 sigma of carrier phase noise is 12 mm. While with CAR method, at least about half minute is required even when 1 sigma of carrier phase noise is 3 mm. It shows that LAMBDA method performs obviously better than CAR method.

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Robustness Examination of Tracking Performance in the Presence of Ionospheric Scintillation Using Software GPS/SBAS Receiver

  • Kondo, Shun-Ichiro;Kubo, Nobuaki;Yasuda, Akio
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.2
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    • pp.235-240
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    • 2006
  • Ionospheric scintillation induces a rapid change in the amplitude and phase of radio wave signals. This is due to irregularities of electron density in the F-region of the ionosphere. It reduces the accuracy of both pseudorange and carrier phase measurements in GPS/satellite based Augmentation system (SBAS) receivers, and can cause loss of lock on the satellite signal. Scintillation is not as strong at mid-latitude regions such that positioning is not affected as much. Severe effects of scintillation occur mainly in a band approximately 20 degrees on either side of the magnetic equator and sometimes in the polar and auroral regions. Most scintillation occurs for a few hours after sunset during the peak years of the solar cycle. This paper focuses on estimation of the effects of ionospheric scintillation on GPS and SBAS signals using a software receiver. Software receivers have the advantage of flexibility over conventional receivers in examining performance. PC based receivers are especially effective in studying errors such as multipath and ionospheric scintillation. This is because it is possible to analyze IF signal data stored in host PC by the various processing algorithms. A L1 C/A software GPS receiver was developed consisting of a RF front-end module and a signal processing program on the PC. The RF front-end module consists of a down converter and a general purpose device for acquiring data. The signal processing program written in MATLAB implements signal acquisition, tracking, and pseudorange measurements. The receiver achieves standalone positioning with accuracy between 5 and 10 meters in 2drms. Typical phase locked loop (PLL) designs of GPS/SBAS receivers enable them to handle moderate amounts of scintillation. So the effects of ionospheric scintillation was estimated on the performance of GPS L1 C/A and SBAS receivers in terms of degradation of PLL accuracy considering the effect of various noise sources such as thermal noise jitter, ionospheric phase jitter and dynamic stress error.

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A Performance Comparison of Positioning Methods Considering Measurement Noise (측정 잡음을 고려한 위치 결정 기법의 성능비교)

  • Park, Chan-Sik;Yim, Jae-Geol
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.12
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    • pp.1176-1181
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    • 2010
  • This paper proposes three positioning algorithms using TOA measurements: 1) The well-known linearization method using Taylor series, 2) a modified Savarese method considering measurement noise, which does not need linearization, and 3) a modified Bancroft method where TOA measurements instead of pseudorange measurements are considered. Furthermore, through an error analysis, for Savarese method, divergence of altitude is anticipated if the transmitters are located at the same height. To prevent height divergence, the Savarese method is modified again for receivers which assumed moving on the even plane. Error analysis also shows the relationship between Bancroft and Savarese method. From the analysis it is expected that the performance of Savarese method is worse than Bancroft method because of error amplification during difference operation. Experiments using real TOA measurement from the time difference of ultra sound and RF validate the proposed methods and show that analysis is correct.

Performance Analysis of Pseudorange Error in STAP Beamforming Algorithm for Array Antenna

  • Lee, Kihoon;So, Hyungmin;Song, Kiwon
    • Journal of Positioning, Navigation, and Timing
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    • v.3 no.2
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    • pp.37-44
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    • 2014
  • The most effective method to overcome GPS jamming problem is to use an adaptive array antenna which has the capability of beamforming or nulling to a certain direction. In this paper, Space Time Adaptive Processing (STAP) beamforming algorithm of four elements array antenna will be designed and the anti-jamming performance will be analyzed. According to the analysis, the signal to noise ratio (SNR) and anti-jamming performance can be enhanced by beamforming algorithm. Also, the time tap effect of STAP algorithm will be analyzed theoretically and verified with array antenna modeling and simulation. Specially, the cautious selection of reference time tap in STAP can prevent the degradation of position accuracy performance.

Times Series Analysis of GPS Receiver Clock Errors to Improve the Absolute Positioning Accuracy

  • Bae, Tae-Suk;Kwon, Jay-Hyoun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.25 no.6_1
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    • pp.537-543
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    • 2007
  • Since the GPS absolute positioning with pseudorange measurements can significantly be affected by the observation error, the time series analysis of the GPS receiver clock errors was performed in this study. From the estimated receiver clock errors, the time series model is generated, and constrained back in the absolute positioning process. One of the CORS (Continuously Operating Reference Stations) network is used to analyze the behavior of the receiver clock. The dominant part of the model is the linear trend during 24 hours, and the seasonal component is also estimated. After constraining the modeled receiver clock errors, the estimated position error compared to the published coordinates is improved from ${\pm}11.4\;m\;to\;{\pm}9.5\;m$ in 3D RMS.

Real-time Precision GPS Positioning Algorithm Based on Reconfiguration Kalman Filter (재구성기법을 이용한 칼만필터 기반의 실시간 정밀 GPS 측위기법)

  • Won, Jong-Hoon;Ko, Sun-Jun;Lee, Ja-Sung
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2439-2442
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    • 2000
  • This paper presents a practical On-The-Fly(OTF) integer ambiguity resolution algorithm for real-time precise positioning with low cost, $L_1$ single frequency, conventional C/A code GPS receiver. A state reconfiguration scheme is adopted in the Kalman filter to deal with the variation of ambiguity states caused by varying sets of visible GPS satellites. The proposed algorithm reduces the ambiguity search space from the coarse m-level C/A code pseudorange measurements of the conventional C/A code reciever, thereby reducing the computational time. Simulation results are presented to show that the algorithm achieves a cm-level accuracy.

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Realization of DGPS using Mobile Phone and Internet (이동전화와 인터넷을 이용한 DGPS 보정항법 시스템)

  • Ko, Sun-Jun;Won, Jong-Hoon;Park, Hun-Joon;Lee, Ja-Sung
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2359-2361
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    • 2000
  • This paper presents a practical method of realizing Differential GPS(DGPS) using an effective communication link. The DGPS technique is used to correct user's pseudorange measurements with trasmintted correction data from the reference station. An effective communication system is the key element for successful application of the DGPS. In this paper, a practical method for efficient data communication link for DGPS using mobile phone and TCP/IP protocol is presented. Its performance is verified via field test.

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Galileo BOC(1,1) Signal Tracking using GPS/Galileo Software Receiver

  • Lim, Deok-Won;Park, Chan-Sik;Lee, Sang-Jeong
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.2
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    • pp.285-289
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    • 2006
  • In this paper, a design and implementation of GPS/Galileo software receiver is given. As a GPS receiver, it is able to perform every function of receiver such as acquisition, code and carrier tracking, navigation bit extraction, navigation data decoding, pseudorange calculations, and position calculations. A method to acquire and track the Galileo BOC(1,1) signal is also required because the correlation of BOC(1,1) signal has multiple peaks different from that of GPS signal. Therefore, a method to detect the main-peak in correlation function of BOC signal is required to avoid false acquisition. In this paper, very-early, very late correlation is implemented to track the correct main peak. The performance of implemented GPS/Galileo software receiver with BOC(1,1) signal tracking feature is evaluated with GPS/Galileo IF signal generator.

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GPS 위성과 천체 역학을 이용한 위치 결정

  • 김형규;최규홍
    • Bulletin of the Korean Space Science Society
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    • 1993.10a
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    • pp.9-9
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    • 1993
  • GPS는 지구 중심으로부터 GPS 위성의 거리와 위성과 관측자사이의 의사거리(pseudorange)를 이용해서 위치를 결정하는 시스템이다. 1993년 6월 12일 연세대학교에서 3시간동안 관측하여 연세대학교의 위치를 구하였다. 이 위치는 WGS-84 타원체이므로 Bessel타원체로 좌표변환하였다. 위치를 결정하기 위해서는 정확한 위성의 위치와 의사거리에 미치는 잡음(noise)을 제거해야 한다. GPS 위성의 위치 결정에는 지구 비대칭중력항에 의한 섭동, 태양, 달에 의한 섭동, 태앙 복사압에 의한 섭동, 지각, 해양의 조석력에 의한 섭동, 태양빛의 지구 반사도(albedo)에 의한 섭동을 고려해야하며 이를 위해서 위성의 Telemetry를 분석하여 구해 보았다 의사거리의 잡음중 가장 큰 요소인 이온층, 대류층에 의한 지연(delay)에 대해 연구 하였고 각각 Kiobuchar모델, Hopfield모델을 써서 보정을 하였다. 자료 처리를 P모델, PV모델을 만들어 칼만 필터에 적용하였고 RV모델이 P모델보다 더 정확하였나, 위치 결정의 정확도를 알아 보기위해서 국립 천문대부설 GPS관측소에서 결정한 위치와 비교,분석하였다.

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