Abstract
In order to suppress the multipath interference in global navigation satellite system, two algorithms based on NLS (nonlinear least square) parameter estimation are proposed. Instead of the classic delay lock loop, the first proposed algorithm estimates the parameters of the line of sight signal and the multipath interference in the correlation domain. The NLS cost function is solved by WRELAX (weighted Fourier transform and RELAXation), which decouples the multidimensional optimization problem into a sequence of one-dimensional optimization problems in a conceptually and computationally simple way. In order to further reduce the complexity, the second NLS algorithm utilizing the characteristic of the C/A code is proposed, which estimate the parameters in the data domain. Finally, the two proposed algorithms are compared with the existing multipath interference methods and show excellent performance and less computational burden.








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Braasch MS (2001) Performance comparison of multipath mitigating receiver architectures. In: Proceedings of IEEE aerospace conference 2001, Big Sky, MT, 3/1309–3/1315
Cannon ME, Lachapelle G, Qiu W, Frodge SL (1994). Performance analysis of a narrow correlator spacing receiver for precise static GPS positioning. In: Proceedings of IEEE position location and navigation symposium 1994, Las Vegas, Nevada, pp 355–360
Chen X, Dovis F, Pini M (2010) An innovative multipath mitigation method using coupled amplitude delay lock loops in GNSS receivers. In: Proceedings of IEEE position location and navigation symposium 2010, Indian Wells, CA, pp 1118–1126
Chen X, Dovis F, Peng S (2013) Comparative studies of GPS multipath mitigation methods performance. IEEE Trans Aerosp Electron Syst 49(3):1555–1568
Counselman CC (1998) Array antennas for DGPS. IEEE Aerosp Electron Syst Mag 13(12):15–19
Dierendonck AJV, Fenton P, Ford T (1992) Theory and performance of narrow correlator spacing in a GPS receiver. Navigation 39(3):265–284
Garin L, Van DF, Rousseau JM (1996) Strobe and edge correlator multipath mitigation for code. In Proceedings of ION GPS 1996, Institute of Navigation, Kansas City, MO, pp. 657–664
Jones J, Fenton PC (2005) The theory and performance of NovAtel Inc.’s vision correlator. In: Proceedings of ION GNSS 2005, Institute of Navigation, Long Beach, CA, pp. 2178–2186
Kalyanaraman SK, Braasch MS, Kelly JM (2006) Code tracking architecture influence on GPS carrier multipath. IEEE Trans Aerosp Electron Syst 42(2):548–561
Kos T, Markezic I, Pokrajcic J (2010) Effects of multipath reception on GPS positioning performance. In: Proceedings of international symposium ELMAR 2010, Zadar, Croatia, pp 399–402
Li J, Stoica P (1996) Efficient mixed-spectrum estimation with applications to target feature extraction. IEEE Trans Signal Process 44(2):281–295
Li J, Wu R (1998) An efficient algorithm for time delay estimation. IEEE Trans Signal Process 46(8):2231–2235
Li J, Zheng D, Stoica P (1997) Angle and waveform estimation via RELAX. IEEE Trans Aerosp Electron Syst 33(3):1077–1087
Li J, Wu R, Lu D, Wang W (2011) GPS multipath mitigation algorithm based on signal separation estimation theory. Chin Signal Process 27(12):1884–1887 (in Chinese)
Li J, Wu R, Wang W, Lu D (2012) A novel GPS signal acquisition algorithm. Adv Inform Sci Serv Sci 4(17):597–604
Lopez AR (2010) GPS landing system reference antenna. IEEE Antennas Propag Mag 52(1):104–113
Maqsood M, Gao S, Brown TWC, Unwin M, Xu JD (2013) A compact multipath mitigating ground plane for multiband GNSS antennas. IEEE Trans Antennas Propag Mag 61(5):2775–2782
McGraw GA, Braasch MS (1999) GNSS multipath mitigation using gated and high resolution correlator concepts. In: Proceedings of ION NTM 1999, Institute of Navigation, San Diego, CA, pp 333–342
Michael SB (1996) GPS multipath model validation. In: Proceedings of IEEE PLANS 1996, Atlanta, GA, pp 672–678
Ray JK, Cannon ME, Fenton P (2001) GPS code and carrier multipath mitigation using a multiantenna system. IEEE Trans Aerosp Electron Syst 37(1):183–195
Townsend B, Rechard DJ, Nee V (1995) Performance evaluation of the multipath estimating delay lock loop. In: Proceedings of ION NTM 1995, Institute of Navigation, California, pp 277–283
Van Nee RDJ (1992) The multipath estimating delay lock loop. In Proceedings of IEEE ISSTA 1992, Yokohama, Japan, pp 39–42
Weill LR (2002) Multipath mitigation using modernized GPS signals: How good can it get? In Proceedings of ION GPS 2002, Institute of Navigation, Portland OR, pp. 493–505
Wu R, Li J (1998) Time-delay estimation via optimizing highly oscillatory cost functions. IEEE J Oceanic Eng 23(3):235–244
Wu R, Li J, Liu Z (1999) Super resolution time delay estimation via MODE-WRELAX. IEEE Trans Aerosp Electron Syst 35(1):294–307
Wu R, Wang W, Lu D, Wang L, Jia Q (2015) Adaptive interference mitigation in GNSS. Science Press, China pp 146–167
Acknowledgments
The work of this paper is supported by the Project of the National Natural Science Foundation of China (Grant No. 61471365 and 61271404), and the Fundamental Research Funds for the Central Universities (Grant 3122014D008).
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Jia, Q., Wu, R., Wang, W. et al. Multipath interference mitigation in GNSS via WRELAX. GPS Solut 21, 487–498 (2017). https://doi.org/10.1007/s10291-016-0538-9
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DOI: https://doi.org/10.1007/s10291-016-0538-9