Institut für Erdmessung Can Receiver Clock Modeling Influence Carrier Phase Residuals from Precise Point Position Solutions? Le Ren & Steffen Schön Institut für Erdmessung Leibniz Universität Hannover 0. Structure 1. Motivation 2. Concept of receiver clock modeling 3. Experiment up 4. Impact on static and kinematic PPP-Solution 5. Conclusion L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 2 1. Motivation Troposphere T 1:-3 1:-2 SIGNAL Station Height 1:1 - 3:2 Receiver clock δt Station height h • Can receiver clock modeling influence carrier phase residuals? L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 3 2. Concept of receiver clock modeling Allan deviation TOXO „The Allan deviation of the oscillator´s random frequency errors should be below the GPS observation noise projected onto the receiver clock estimates“ Phase clock modeling feasible Schön (2013), Presentation 1 hour L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 1 day 4 2. Concept of receiver clock modeling by two states DGL t f wt w f 0 f Discrete tk 1 t tk 1 wk 1,t f 0 1 f w k 1 k 1, f k h0 2 2 2 2 h0 2 3 t 2 h t h t ? h t h2 t 2 1 2 1 2 3 2 3 Qw h0 8 2 h0 2h t 2 2 h t 2 4h1 h2 t 1 2 2 3 2t 3 Noise type Abbreviation α White noise phase modulation White noise frequency modulation WPM WFM 2 0 Flicker noise frequency modulation FFM –1 Random walk frequency modulation RFM –2 4 2 2 h2 , h0 y2 2 , 3 fh 2 y h1 y2 2 L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart , h2 y2 5 3 2 3. Experiment set-up Antenna: Leica AR25.R4 LEIT Receiver: 4 Javad Delta TRE_G3T Clock: Active H-maser for Javad 1&2; Rbd for Javad 3&4 Rb H-maser Leute (2014) PTB L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 6 4. Static solution Day 070 Javad 1 Model: static Clock: H-maser L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 7 Phase residuals PRN 1 Javad 1 v T Tro B L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 8 Static solution Day 070 Javad 3 Model: static Clock: Rubidium L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 9 Phase residuals PRN 1 Javad 3 Rb clock not suitable for receiver clock modelling in PPP => no impact L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 10 4. Kinematic Solution Day 070 Javad 1 Model: kinematic Clock: H-maser L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 11 Phase residuals PRN 1 Javad 1 v T Tro B E cos El sin Az N cos El cos Az U sin El L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 12 Kinematic Solution Day 070 Javad 3 Model: kinematic Clock: Rubidium L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 13 Phase residuals PRN 1 Javad 3 Rb clock not suitable for receiver clock modelling in PPP => no impact L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 14 5. Conclusion For static model • no influence on position solution • ±2 mm on Phase residuals, elevation-independent For kinematic model • no influence on horizontal direction • smoothed height coordinates • 5-10 mm on Phase residuals at low elevation • 2 mm on Phase residuals at high elevation L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 15 Institut für Erdmessung Le Ren & Steffen Schön Institut für Erdmessung Schneiderberg 50 D-30167 Hannover, Germany E-Mail: [email protected] Tel: +49 (511) 762 3892 Fax: +49 (511) 762 4006 URL: http://www.ife.uni-hannover.de/ Leibniz Universität Hannover Institut für Erdmessung L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 16 3. Software Set-up Extended Kalman filter fwd/bwd Parameter Type Static coordinates Kinematic coordinates Receiver clock time offset Receiver clock frequency offset Tropospheric zwd Carrier phase ambiguities Oscillator type Active H-maser Rb TCXO(low quality) System Random Random Random Random Random Random model constant walk ramp walk walk constant - Correction Set-up: Ionosphere-free LC, tropospheric delay, CODE-Products, DCB, satellite and receiver antenna PCO and PCV, phase wind-up, relativistic effect, solid earth tides, ocean loading, pole tides, subdaily pole movement. Ambiguity: float solution L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 17 Phase residuals PRN 28 Javad 1 L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 18 Phase residuals PRN 28 Javad 3 L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 19 Phase residuals PRN 28 Javad 1 L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 20 Phase residuals PRN 28 Javad 3 L. Ren & S. Schön – Geodetic Week 2015 – 16.09.2015 Stuttgart 21
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