Abstract
Analysis of the open service modulation waveforms proposed for the
Galileo signal on L1 shows that the combined binary coded symbol
(BCS) and BOC(1,1) waveforms, as proposed at GNSS ION 2005, may induce
tracking bias in a receiver designed to receive only the BOC(1,1)
waveform. Navigation using a mixed constellation of modernised GPS
satellite broadcasting a BOC(1,1) component and Galileo with one
of the possible additive mixtures of BCS and BOC(1,1) - would lead
to potential location errors if no corrective measures are taken.
The bias depends upon the correlator spacing in the code tracking
detector. There are several ways to calibrate the bias. One of these
uses a stored table of corrections for use with Galileo signals whose
entries depend upon the receiver parameters. Another method uses
additional satellite signals and establishes a filter state in a
Kalman navigation processor. In this case, the presence of multi-path
propagation makes such calibration difficult for users with a finite
observation time. An alternative solution uses phase alternation
of the BCS component at the chip rate to eliminate the measurement
bias for correlator spacings smaller than 0.4 chips. The trend is
indeed to use smaller and smaller correlator spacings in the near
future. The paper illustrates the tracking bias with examples from
the current Galileo signal proposals. The paper establishes an effective
method of removing or avoiding the bias corresponding to changes
in the satellite signal. We show that the tracking bias is sensitive
to the choice of the BCS waveform and to its use in a receiver adapted
for BOC(1,1) reception. The main contribution of the paper is to
show that there are BCS sequences which lead to bias-free pseudo-range
estimates through appropriate design rules. These belong to a set
known as anti-symmetric sequences. The resulting set of allowed BCS
sequences is very limited in number. There are none of sequence length
10, as proposed originally for Galileo. The spectral properties of
the best sequence is shown. There are consequential changes to the
performance of the composite spreading symbol sequences in the presence
of multi-path propagation and these effects are also shown and may
be compared to previous Galileo signal proposals.
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