1 Performance Analysis of Position-Domain Hatch Filter

Motivated both by the efficiency of the Hatch gain compared to the Kalman-type gain and the advantage of position-domain filtering compared to range-domain filtering, this paper proposes a position-domain Hatch filter for differential kinematic satellite-based positioning. A theoretically rigorous proof is provided to show that the Hatch gain generates a white residual sequence and is more efficient than Kalman-type gain. It is also shown that the position-domain Hatch filter is more robust than the range-domain Hatch filter if the visible satellite constellation changes during the positioning task. A simulation result verifies that the proposed positiondomain Hatch filter performs better than conventional carrier-smoothed-code filters due to the advantages of both position-domain filtering and the Hatch gain.

[1]  D. Adams,et al.  Journal of the Institute of Navigation , 1948, Nature.

[2]  R. Hatch.  The synergism of GPS code and carrier measurements , 1982 .

[3]  PATRICK Y. C. HWANG,et al.  GPS Navigation: Combining Pseudorange With Continuous Carrier Phase Using a Kalman Filter , 1989 .

[4]  N. A. Carlson.  Federated square root filter for decentralized parallel processors , 1990 .

[5]  R.D.J. van Nee,et al.  The multipath estimating delay lock loop: approaching theoretical accuracy limits , 1993, Proceedings of 1994 IEEE Position, Location and Navigation Symposium - PLANS'94.

[6]  Bradford W. Parkinson,et al.  Calibration of Multipath Errors on GPS Pseudorange Measurements , 1994 .

[7]  Frank van Graas,et al.  High-Accuracy Differential Positioning for Satellite-Based Systems Without Using Code-Phase Measurements1 , 1995 .

[8]  Bradford W. Parkinson,et al.  Global positioning system : theory and applications , 1996 .

[9]  P. Axelrad,et al.  SNR-based multipath error correction for GPS differential phase , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Michael S. Braasch.  GPS multipath model validation , 1996, Proceedings of Position, Location and Navigation Symposium - PLANS '96.

[11]  Richard A. Brown,et al.  Introduction to random signals and applied kalman filtering (3rd ed , 2012 .

[12]  Gary A. McGraw,et al.  Enhanced Differential GPS Carrier-Smoothed Code Processing Using Dual Frequency Measurements , 1998 .

[13]  J. Farrell,et al.  The global positioning system and inertial navigation , 1999 .

[14]  Richard B. Langley,et al.  Precise, Efficient GPS-Based Geometric Tkacking of Low Earth Orbiters , 1999 .

[15]  D.-J. Jwo.  Optimisation and sensitivity analysis of GPS receiver tracking loops in dynamic environments , 2001 .

[16]  J. K. Ray,et al.  GPS code and carrier multipath mitigation using a multiantenna system , 2001 .

[17]  Gyu-In Jee,et al.  An Efficient GPS Receiver Algorithm for Channelwise Multipath Detection and Real-Time Positioning , 2002 .

[18]  M. Kayton,et al.  Global positioning system: signals, measurements, and performance [Book Review] , 2002, IEEE Aerospace and Electronic Systems Magazine.

[19]  이형근.  Time-propagated measurement fusion and its application to GPS multipath detection and isolation , 2002 .

[20]  Chris Rizos,et al.  Design of kinematic DGNSS filters with consistent error covariance information , 2004 .

[21]  Chris Rizos,et al.  Position domain filtering and range domain filtering for carrier-smoothed-code DGNSS: an analytical comparison , 2005 .