Abstract

Multipath is one of the main sources of tracking error in GPS receivers. This tracking error has previously been analyzed against the relative delay of the Line Of Sight (LOS) and reflected signals. However, only carrier phase differences of 0 and π were used, since they give tracking error with maximum magnitude. This paper shows that tracking error does not change linearly with changing carrier phase difference. Tracking error plots against relative carrier phase difference of the LOS and reflected signals have been used to analyze the relationship between the two in various scenarios. While maximum positive and negative errors are found at carrier phase difference of 0 and π, a sharp increase in tracking error is found around the phase difference of π. There is a zero crossing in all plots but that point is dependent on relative amplitude, delay, and carrier phase difference of the two signals. The analysis has also been extended to narrow correlators receiver. Tracking error is significantly reduced in this case, however, similar characteristics have been observed when the tracking error is analyzed against the relative carrier phase difference. Moreover, the tracking error was found to be less dependent on the relative delay between the two signals when correlators spacing is reduced.

Highlights

  • The reflection of the Line of Sight (LOS) satellite signal from nearby objects, known as multipath, causes tracking errors in the Global Positioning System (GPS) receivers [1,2,3]

  • Multipath is a source of tracking error in GPS receivers, which leads to positioning errors [3, 14,15,16,17]

  • Multipath error envelopes have been used to analyze tracking error caused by multipath [5,6,7,8,9]

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Summary

INTRODUCTION

The reflection of the Line of Sight (LOS) satellite signal from nearby objects, known as multipath, causes tracking errors in the Global Positioning System (GPS) receivers [1,2,3]. A plot of maximum positive and maximum negative code tracking errors against relative delay of a reflected signal is called as the multipath error envelope and is generally used to represent error characteristics [5,6,7] and effects of mitigation techniques [8,9]. It shows the maximum deviation in tracking error that can be caused by variations of carrier phase difference between the LOS and the reflected signals for a given relative amplitude and code delay between the two signals. This paper analyzes the effect of carrier phase difference between the LOS and the reflected signals on multipath tracking error

EXPERIMENTAL SETUP
MOTIVATION
TRACKING ERROR ANALYSIS
TRACKING ERROR WITH NARROW CORRELATOR
CONCLUSION
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