GPS/Galileo Multipath Mitigation Using the First Side Peak of Double Delta Correlator

In this paper, we propose an efficient scheme for the Line of Sight (LOS) delay estimation in satellite telecommunications. It aims to reduce errors caused by the Multipath (MP) fading channels in Global Navigation Satellite System (GNSS) such as Global Positioning System (GPS) and future Galileo. The scheme is based on the use of first side peaks of Double Delta Correlator (DDC) in combination with Savitzky-Golay Filter (SGF). The proposed scheme is called “Enhanced DDC (EDDC)”. The DDC technique, like High Resolution Correlator (HRC) and Strobe Correlator (SC), uses the central peak of the Correlation Function (CF) for the LOS delay estimation. As a result, it enables to deal with the medium-delay MP. Yet, it presents a greater sensitivity to the noise and to the long-delay MP that we propose to mitigate, respectively, with the use of SGF and the measure of the first side peak (instead of the central). The obtained results show that our proposed scheme gives better performances over DDC scheme. In fact, it shows a significant error reduction caused by the presence of long-delay MP signals (up to 90%) compared to that of the DDC scheme.

[1]  Djamel Chikouche,et al.  GPS/Galileo Multipath Detection and Mitigation Using Closed-Form Solutions , 2009 .

[2]  M.G. Amin,et al.  Fast Iterative Maximum-Likelihood Algorithm (FIMLA) for Multipath Mitigation in Next Generation of GNSS Receivers , 2006, 2006 Fortieth Asilomar Conference on Signals, Systems and Computers.

[3]  W. Press,et al.  Numerical Recipes in Fortran: The Art of Scientific Computing.@@@Numerical Recipes in C: The Art of Scientific Computing. , 1994 .

[4]  M.C. Laxton,et al.  GPS multipath mitigation during code tracking , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[5]  Michael S. Braasch,et al.  Performance comparison of multipath mitigating receiver architectures , 2001, 2001 IEEE Aerospace Conference Proceedings (Cat. No.01TH8542).

[6]  Andrew G. Dempster,et al.  Applying a BOC-PRN discriminator to cosine phased BOC( f s , f c ) modulation , 2009 .

[7]  Michael S. Braasch,et al.  GNSS Multipath Mitigation Using Gated and High Resolution Correlator Concepts , 1999 .

[8]  Søren Holdt Jensen,et al.  A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach , 2006 .

[9]  Jianwen Luo,et al.  Savitzky-Golay smoothing and differentiation filter for even number data , 2005, Signal Process..

[10]  Peter Steffen,et al.  Some advanced topics in filter design , 1987 .

[11]  Susan Tiefenbrun KANSAS CITY (Missouri) , 2012 .

[12]  Choi Look Law,et al.  Short-delay multipath mitigation technique based on virtual multipath , 2005 .

[13]  Matilde Sánchez Fernández,et al.  Performance Analysis and Parameter Optimization of DLL and MEDLL in Fading Multipath Environments for Next Generation Navigation Receivers , 2007, IEEE Transactions on Consumer Electronics.

[14]  Jianwen Luo,et al.  Properties of Savitzky-Golay digital differentiators , 2005, Digit. Signal Process..

[15]  Chung-Liang Chang,et al.  An Adaptive Multipath Mitigation Filter for GNSS Applications , 2008, EURASIP J. Adv. Signal Process..

[16]  Markku Renfors,et al.  Feedforward Delay Estimators in Adverse Multipath Propagation for Galileo and Modernized GPS Signals , 2006, EURASIP J. Adv. Signal Process..

[17]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[18]  Markku Renfors,et al.  Code Tracking Algorithms for Mitigating Multipath Effects in Fading Channels for Satellite-Based Positioning , 2008, EURASIP J. Adv. Signal Process..

[19]  Lionel Garin,et al.  Enhanced Strobe Correlator Multipath Rejection for Code & Carrier , 1997 .

[20]  Changdon Kee,et al.  Modified High-Resolution Correlator Technique for Short-Delayed Multipath Mitigation , 2009, Journal of Navigation.

[21]  William H. Press,et al.  Numerical recipes in C , 2002 .

[22]  Elliott D. Kaplan Understanding GPS : principles and applications , 1996 .

[23]  R. van Nee The Multipath Estimating Delay Lock Loop , 1992, IEEE Second International Symposium on Spread Spectrum Techniques and Applications.

[24]  Erry Gunawan,et al.  Multipath Mitigation Technique Based on Partial Autocorrelation Function , 2007, Wirel. Pers. Commun..

[25]  R.D.J. van Nee,et al.  The Multipath Estimating Delay Lock Loop , 1992 .

[26]  A. J. Van,et al.  Theory and Performance of Narrow Correlator Spacing in a GPS Receiver , 1992 .

[27]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[28]  Jae S. Lim,et al.  Advanced topics in signal processing , 1987 .

[29]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .