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Claims  |
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What is claimed is:
1. A GPS pointing and attitude measurement system using a single GPS
receiver and multiple antennas to derive pointing and attitude measurement
using a selected PRN code recovered from GPS navigation signals, wherein
azimuth and elevation are determined in pointing application and roll,
pitch, and yaw are determined in attitude application, comprising:
a reference and at least one slave antenna mounted to a foundation, such
that the separation is significantly less than the correlation interval
for the selected PRN code;
reference and, for each slave antenna, slave precorrelation electronics for
providing respective digital representations of the GPS signals received
by said reference and slave antennas;
at least one replica carrier generator for generating a replica of the GPS
carrier signal;
at least one replica code generator for generating a replica of the
selected GPS PRN code signal;
reference correlation electronics, including a carrier mixer and a selected
number of code correlators, responsive to the reference GPS signal, and to
replica carrier and replica code signals, for generating reference I and Q
correlation outputs;
for each slave antenna, slave correlation electronics including a carrier
mixer and at least one code correlator responsive to the slave GPS
signals, and to replica carrier and replica code signals, for generating
slave I and Q correlation outputs; and
a GPS processor responsive to the reference I and Q correlation outputs for
tracking with the reference antenna, and responsive to the reference and
slave I and Q correlation outputs for computing pointing and attitude
measurements.
2. The GPS single-receiver pointing and attitude system of claim 1, wherein
the selected PRN code is C/A-code.
3. The GPS single-receiver pointing and attitude system of claim 1, wherein
the selected PRN code is P-code.
4. The GPS single-receiver pointing and attitude system of claim 1, wherein
pointing and attitude measurements are computed from differential carrier
doppler phase measurements.
5. The GPS single-receiver pointing and attitude system of claim 4, wherein
the carrier doppler phase measurement is computed using reference and
slave prompt I and Q correlation outputs.
6. The GPS single-receiver pointing and attitude system of claim 5, wherein
pointing and attitude measurements are based on computations of carrier
phase differences between said reference and slave antennas according to
the relationship:
TAN.sup.- ((I.sub.RP *Q.sub.SP -Q.sub.RP *I.sub.SP)/(I.sub.RP *I.sub.SP
+Q.sub.RP *Q.sub.SP))
where I.sub.RP and Q.sub.RP are respectively in-phase and quadrature prompt
correlator outputs for the reference antenna, and I.sub.SP and Q.sub.SP
are respectively in-phase and quadrature prompt correlator outputs for the
slave antenna.
7. The GPS single-receiver pointing and attitude system of claim 6, wherein
differential code phase measurements are used as a coarse measurement for
ambiguity resolution.
8. The GPS single-receiver pointing and attitude system of claim 1, wherein
said reference correlation electronics includes early, prompt and late
code correlators.
9. The GPS single-receiver pointing and attitude system of claim 8, wherein
at least one additional code correlator is used for search/ acquisition
operations, and after tracking is established with the reference antenna,
said additional correlator is assigned to said slave correlation
electronics.
10. The GPS single-receiver pointing and attitude system of claim 8,
wherein said slave correlation electronics includes early, prompt and late
code correlators, and wherein pointing and attitude measurements are
computed from differential code phase measurements.
11. The GPS single-receiver pointing and attitude system of claim 10,
wherein the pointing and attitude measurements are computed from the early
and late reference and slave I and Q correlation outputs.
12. The GPS single-receiver pointing and attitude system of claim wherein
the differential code phase measurements are computed according to the
relationship:
(RLE-REE-SLE+SEE)/(RLE+REE+SLE+SEE)
where
REE=SQRT (I.sub.RE.sup.2 +Q.sub.RE.sup.2)
RLE=SQRT (I.sub.RL.sup.2 +Q.sub.RL.sup.2)
SEE=SQRT (I.sub.SE.sup.2 +Q.sub.SE.sup.2)
SLE=SQRT (I.sub.SL.sup.2 +Q.sub.SL.sup.2)
and where I.sub.RE.sup.2 /Q.sub.RE.sup.2 are in-phase and quadrature
reference Early correlation outputs, I.sub.RL.sup.2 /Q.sub.RL.sup.2 are
in-phase and quadrature reference late correlation outputs, I.sub.SE.sup.2
/Q.sub.SE.sup.2 are in-phase and quadrature slave Early correlation
outputs, and I.sub.SL.sup.2 /Q.sub.SL.sup.2 are in-phase and quadrature
slave Late correlation outputs.
13. The GPS single-receiver pointing and attitude system of claim 10,
wherein the pointing and attitude measurements are computed from the early
and late slave I and Q correlation outputs.
14. The GPS single-receiver pointing and attitude system of claim 13,
wherein the differential code phase measurements are computed according to
the relationship:
(1/SLOPE)*((L-E)/L+E))=0.5*((L-E)/(L+E))
where:
L=(I.sub.SL.sup.2 +Q.sub.SL.sup.2).sup.1/2
E=(I.sub.SE.sup.2 +Q.sub.SE.sup.2).sup.1/2
SLOPE=2 C/A CHIP.sup.-1
and where I.sub.SE.sup.2 /Q.sub.SE.sup.2 are in-phase and quadrature slave
early correlation outputs, and I.sub.SL.sup.2 /Q.sub.SL.sup.2 are in-phase
and quadrature slave late correlation outputs.
15. The GPS single-receiver pointing and attitude system of claim 1,
wherein a single set of replica carrier and code generators is used in
common in generating both the reference and slave I and Q correlation
outputs.
16. The GPS single-receiver pointing and attitude system of claim 1,
wherein each antenna includes an index, such that the antennas can mounted
to said foundation with a selected relative orientation to minimize
antenna phase center migration errors.
17. The GPS single-receiver pointing and attitude system of claim 1,
further comprising external sensors are used to provide pointing vector
boundary conditions to facilitate ambiguity resolution.
18. The GPS single-receiver pointing and attitude system of claim 1,
further comprising, for each slave antenna, an intermediate slave antenna
mounted asymmetrically with respect to the slave antenna, and an antenna
switching circuit, such that said slave precorrelation and correlation
electronics are switched between the slave and intermediate antennas to
facilitate ambiguity resolution.
19. The GPS single-receiver pointing and attitude system of claim 1,
wherein the GPS receiver is a P-code receiver that tracks both the Ll and
L2 GPS signals, producing two different standing wave patterns that
facilitate ambiguity resolution and which can be used to correct for
differential multi-path error.
20. The GPS single-receiver pointing and attitude system of claim 1,
wherein a single slave antenna is mounted on said foundation, and wherein
the resulting reference and slave I and Q correlation outputs are used to
compute pointing measurements.
21. The GPS single-receiver pointing and attitude system of claim 20,
wherein said reference and slave antennas are mounted on a pointing
fixture beam with a separation of about 1-5 meters.
22. The GPS single-receiver pointing and attitude system of claim 20,
wherein at least one additional slave antenna is mounted co-linearly on
said foundation, and wherein the resulting reference and slave I and Q
correlation outputs are used to compute pointing measurements with an
oversolution.
23. The GPS single-receiver pointing and attitude system of claim 1,
wherein two slave antennas are mounted non-co-linearly on a planar
foundation, and wherein the resulting reference and slave I and Q
correlation outputs are used to compute attitude measurements.
24. The GPS single-receiver pointing and attitude system of claim 23,
wherein at least one additional slave antenna mounted to the foundation,
and wherein the resulting reference and slave I and Q correlation outputs
are used to compute attitude measurements with an oversolution.
25. A GPS pointing and attitude measurement method using a single GPS
receiver and multiple antennas to derive pointing and attitude
measurements using a selected PRN code recovered from GPS navigation
signals, wherein azimuth and elevation are determined in pointing
applications and roll, pitch and yaw are determined in attitude
applications, comprising the steps:
mounting a reference and at least one slave antenna mounted to a
foundation, such that the separation is significantly less than the
correlation interval for the selected PRN code;
for the reference antenna, establishing a reference antenna tracking loop
to generate reference I and Q correlation outputs using a set of reference
code correlators and the selected PRN code signals;
for each slave antenna, generating slave I and Q correlation outputs using
at lest one slave code correlator and the selected PRN code signals; and
processing the reference and slave I and Q correlation outputs to compute
pointing and attitude measurements.
26. The GPS single-receiver pointing and attitude method of claim 25,
wherein the selected PRN code is C/A-code.
27. The GPS single-receiver pointing and attitude method of claim 24,
wherein the selected PRN is P-code.
28. The GPS single-receiver pointing and attitude method of claim 25,
wherein pointing and attitude measurements are computed from differential
carrier doppler phase measurements.
29. The GPS single-receiver pointing and attitude method of claim 28,
wherein the carrier doppler phase measurement is computed using reference
and slave prompt I and Q correlation outputs.
30. The GPS single-receiver pointing and attitude method of claim 29,
wherein pointing and attitude measurements are based on computing carrier
phase differences between said reference and slave antennas according to
the relationship:
TAN.sup.-1 ((I.sub.RP *Q.sub.SP -Q.sub.RP *I.sub.SP)/(I.sub.RP *I.sub.SP
+Q.sub.RP *Q.sub.SP ((
where I.sub.RP and Q.sub.RP are respectively in-phase and quadrature prompt
correlator outputs for the reference antenna, and I.sub.SP and Q.sub.SP
are respectively in-phase and quadrature prompt correlator outputs for the
slave antenna.
31. The GPS single-receiver pointing and attitude method of claim 30,
further comprising the step of using differential code phase measurements
as a coarse measurement for ambiguity resolution prior to computing
pointing and attitude.
32. The GPS single-receiver pointing and attitude method of claim 25,
wherein pointing and attitude measurements are computed from differential
code phase measurements using early and late reference and slave
correlation outputs.
33. The GPS single-receiver pointing and attitude method of claim 32,
wherein the differential code phase measurements are computed according to
the relationship:
(RLE-REE-SLE+SEE)/(RLE+REE+SLE+SEE)
where:
REE=SQRT (I.sub.RE.sup.2 +Q.sub.RE.sup.2)
RLE=SQRT (I.sub.RL.sup.2 +Q.sub.RL.sup.2)
SEE=SQRT (I.sub.SE.sup.2 +Q.sub.SE.sup.2)
SLE=SQRT (I.sub.SL.sup.2 +Q.sub.SL.sup.2)
and where I.sub.RE.sup.2 /Q.sub.RE.sup.2 are in-phase and quadrature
reference Early correlation outputs, I.sub.RL.sup.2 /Q.sub.RL.sup.2 are
in-phase and quadrature reference late correlation outputs, I.sub.SE.sup.2
/Q.sub.SE.sup.2 are in-phase and quadrature slave Early correlation
outputs, and I.sub.SL.sup.2 /Q.sub.SL.sup.2 are in-phase and quadrature
slave Late correlation outputs.
34. The GPS single-receiver pointing and attitude method of claim 31,
wherein the pointing and attitude measurements are computed using early
and late slave I and Q correlation
35. The GPS single-receiver pointing and attitude method of claim 34,
wherein the differential code phase measurements are computed according to
the relationship:
(1/SLOPE)*((L-E)/L+E))=0.5*((L-E)/(L+E))
where:
L=(I.sub.SL.sup.2 +Q.sub.SL.sup.2).sup.1/2
E=(I.sub.SE.sup.2 +Q.sub.SE.sup.2).sup.1/2
SLOPE=2 C/A CHIP.sup.-1
and where I.sub.SE.sup.2 /Q.sub.SE.sup.2 are in-phase and quadrature slave
early correlation outputs, and I.sub.SL.sup.2 /Q.sub.SL.sup.2 are in-phase
and quadrature slave late correlation outputs.
36. The GPS single-receiver pointing and attitude method of claim 25,
wherein the reference and slave I and Q correlation outputs are generated
using a single set of replica carrier and code signals.
37. The GPS single-receiver pointing and attitude method of claim 25,
wherein a single slave antenna is used, and wherein the resulting
reference and slave I and Q correlation outputs are processed to compute
pointing measurements.
38. The GPS single-receiver pointing and attitude method of claim 37,
wherein at least one additional slave antenna is mounted on said
foundation co-linearly, and wherein the resulting reference and slave
correlation outputs are used to compute pointing measurements with an
oversolution.
39. The GPS single-receiver pointing and attitude method of claim 25,
wherein two slave antennas are mounted non-co-linearly on a planar
foundation, and wherein the resulting reference and slave I and Q
correlation outputs are processed to compute attitude measurements.
40. The GPS single-receiver pointing and attitude method of claim 39,
wherein at least one additional slave antenna is mounted to the
foundation, and wherein the resulting reference and slave I and Q
correlation outputs are processed to compute attitude measurements with an
oversolution. |
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Claims  |
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Description  |
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TECHNICAL FIELD OF THE INVENTION
The invention relates generally to NAVSTAR Global Positioning Systems
(GPS), and more particularly relates to such a GPS system and method for
deriving precise pointing or attitude measurements using a single GPS
receiver and a multiplicity of antennas (at least two for pointing, and at
least three for attitude).
BACKGROUND OF THE INVENTION
The NAVSTAR Global Positioning System (GPS) is a Department of Defense
satellite navigation system that uses a constellation of GPS navigation
satellites in a space segment (SS) to transmit GPS signals and data from
which a world wide User Segment (US) can derive accurate position,
velocity and time.
A GPS Control Segment on the ground tracks the SS satellite constellation,
and uplinks to each GPS satellite ephemeris data on its orbital
characteristics and satellite clock correction parameters to precisely
synchronize the on-board satellite atomic clock with reference to GPS
system time. Each GPS satellite continually transmits a navigation signal
that provides navigation message data--including time of transmission,
satellite clock correction parameters and ephemeris data.
The navigation signal is transmitted over two carrier frequencies in the L
band (L1 at 1575.42 and L2 at 1227.6 MHz), spread spectrum modulated With
two pseudo random noise (PRN) codes: (a) a P-code (precision) with a seven
day period (repeating its PRN sequence only once every seven days),
providing for precision measurement of time, and (b) a C/A-code
(clear/access or coarse/acquisition) with a one millisecond period,
providing for rapid search and acquisition of the navigation signal from a
given satellite (and hand-off to the more precise but harder to acquire
P-code). Both L1 and L2 are modulated with the P-code (10.23 MHz), while
only L1 carries the C/A-code (1.023 MHz), and each code modulation is
further modulated with the 50 Hz navigation message data.
The problem to which the invention is directed is the design of an economic
and high precision system of GPS measurements to permit accurate
computation of pointing (azimuth and elevation) or attitude (roll,
pitch/elevation and yaw/azimuth). More specifically, the design problem is
to economically eliminate or control the distributed error sources that
are typically encountered in GPS receivers, achieving precise performance
necessary for accurate GPS pointing/attitude, in addition to the normal
position, velocity and time computations. These error sources include
satellite clock, satellite electrical path, receiver oscillator, code and
carrier generators, receiver electrical path, receiver time bias error,
satellite clock prediction, ephemeris radial prediction, ionospheric and
other atmospheric signal paths.
For conventional GPS navigation (position and velocity in three
dimensions), a User Segment GPS receiver tracks four GPS satellites,
establishing synchronism with its navigation signal, and recovering the
navigation message data. Ranges to the four satellites are determined by
scaling the signal transit time by the speed of light, with the position
of each satellite at the time of transmission being determined from the
associated ephemeris parameters.
The need for a GPS receiver to include a precision clock (synchronized to
GPS system time) is eliminated by the use of range measurements from four
satellites. That is, the navigation problem for position is characterized
by four unknowns--position in three dimensions and clock error (or fixed
time bias)--requiring four user position equations to provide three
estimated position coordinates and an estimate of the receiver time bias.
In addition, velocity measurements are made by measuring the doppler shift
in the carrier frequency of the navigation signal, with the error offset
in the frequency of the receiver oscillator being compensated for by using
four range rate (doppler) equations.
From each satellite, the GPS receiver is able to provide pseudo range and
range rate (doppler) measurements that can be used for position and
velocity computations. Pseudo range is the range measurement, with respect
to the receiver clock, to any satellite being tracked based on signal
transit time and satellite position before compensating for the fixed
receiver time bias associated with any range measurement.
For GPS pointing applications, such as precision geodetic surveying, GPS
interferometry techniques are used to define to a high degree of precision
a baseline vector between a reference antenna (at a known location) and a
second antenna (at an unknown location)--typically, this vector can be
defined within a millimeter for relatively short baselines. The vector
includes both the distance and the direction (azimuth and elevation) to
the second antenna with respect to the reference antenna. Using this
vector, the precise geodetic position of the unknown antenna can be
computed by adding (in the same coordinate system) the measured vector to
the known geodetic position of the reference antenna.
GPS interferometry uses differentially-processed carrier doppler phase
measurements for the two locations to provide first order positioning of
the second GPS receiver/antenna location--more precisely, the antenna
phase center location--with respect to the reference GPS receiver/antenna
location (References 1, 2 and 3, listed at the end of the Background).
This technique can be extended to obtain attitude information using
differential carrier doppler phase measurements for two GPS
receivers/antennas at unknown locations arranged in a triangular pattern
with respect to the reference antenna--the two measured vectors determine
a plane characterized by roll, pitch and yaw.
In any GPS receiver design, tracking a GPS satellite requires
synchronization with and demodulation of the carrier and PRN codes from
the GPS navigation signals--a correlation process establishes carrier and
code tracking loops that align selected GPS carrier and code (P or C/A)
signals with corresponding replica carrier and code signals generated
within the GPS receiver. In particular, the receiver measures apparent
(pseudo range) transit time by measuring the phase shift between the GPS
code signal and the receiver replica code signal--the receiver replica
code is shifted until maximum correlation (within the error tolerance of
the carrier and code tracking loops) is achieved between it and the
received GPS code, with the time magnitude of the shift corresponding to
measured pseudo range.
This tracking process of maintaining correlation between the P- or
C/A-codes recovered from a selected incoming GPS navigation signal, and
the corresponding receiver replica code, is a closed loop. For each GPS
satellite being tracked, the selected GPS code/carrier signals are fed
into the GPS inputs of the tracking channel's code and carrier
correlators, while the replica inputs receive the receiver generated
replica code and carrier. The resulting correlator outputs are split into
in-phase (I) and quadrature (Q) signals, which are combined into code and
carrier error signals. These error signals are fed into code and carrier
tracking loop filters to generate corrections to the replica code and
carrier generators, the corrected outputs of which are fed back to the
code and carrier correlators as a closed loop.
The replica state for the tracking receiver changes as a function of two
effects: (a) a time effect due to the signal state rate of change within
the satellite as a function of time, and (b) a position effect due to the
physical separation between the satellite and the receiver antenna. The
physical separation between the satellite and the antenna is, in general,
constantly changing due to the satellite orbital motion and, in the case
of a dynamic user, due to the antenna motion, thereby producing a doppler
effect on the code and carrier signals which is proportional to the net
line of sight relative motion between the GPS antenna and the satellite
antenna.
For a pointing application, if multiple GPS receiver/antennas are at fixed
locations, or are rigidly attached to a single platform (such as on either
end of a rigid beam), differential measurements can be made for the
multiple antennas with respect to a single satellite. This differential
measurement process eliminates the time effect (attributable to the
satellite), so that only the relative position effect (attributable to the
multiple antennas) remains. Measuring and processing relative position
measurements yields the desired pointing vector (at least two antennas) or
attitude vectors (at least three non-linear antennas).
This differential process for measuring relative position is commonly
referred to as differential carrier doppler phase measurement.
Differential carrier doppler phase measurement is not to be confused with
range rate (doppler) measurements used for velocity
computations--conventional range rate computations use fairly coarse
doppler measurements that do not require precise measurement of the phase
difference between the doppler shifted GPS signals arriving at different
antennas. In contrast, to achieve significant pointing/ attitude accuracy,
differential carrier doppler phase measurement must provide a highly
precise measure of carrier phase difference with respect to the signals
arriving at the different antennas.
Using separated GPS receivers for differential carrier doppler phase
measurements inherently introduces differential receiver error sources
that impact the precision of those measurements, and therefore, the
pointing/attitude computations that use those measurements. These error
sources include satellite clock errors, satellite electrical path errors,
receiver clock errors, receiver electrical path errors, oscillator noise,
code and carrier generator noise, time bias error in the range
measurements, satellite clock prediction errors, ephemeris radial
prediction errors and ionospheric errors. Several GPS processing
techniques have been developed to eliminate the sources of receiver error
caused by the introduction of separated GPS receivers (See references 4,
5, 6, listed at the end of the Background).
If analog multichannel GPS receivers are used, another significant error
source is interchannel bias error--even if calibrated, interchannel bias
changes as a function of both time and temperature. In current digital
multichannel GPS receivers with precorrelation analog-to-digital
conversion, the analog GPS signals from different satellites pass through
a common analog RF/IF front-end, and are delayed by the same amount,
producing a common interchannel bias because the analog circuit is common
to all GPS signals. The differential digital signal delay paths can be
precisely matched and are highly stable over time and temperature, so that
the common interchannel bias is eliminated when the outputs attributable
to different satellites (i.e., in different channels) are subtracted from
each other in the pointing and attitude measurement process.
Even if these error sources can be eliminated or counteracted, three
additional error sources significantly impact differential carrier doppler
phase measurements used in pointing/attitude: (a) antenna differential
phase center migration, (b) differential multipath, and (c) thermal noise.
An ideal GPS receiver antenna navigates the phase center of the GPS antenna
when absolute positioning is performed because, ideally, all delay paths
between the antenna phase center and the receiver correlators are equal
and therefore cancel in the differential measurement process. However, in
practice, the location of any GPS antenna phase center migrates as a
function of the elevation and azimuth angle of each GPS satellite being
tracked because of changes in the antenna gain and phase response at
varying angles are not equal. These antenna phase center migration errors
can be minimized by using phase matched antennas oriented in the same
direction, such that any resulting errors cancel when the signals are
differentiated.
Multipath errors arise because the direct-path GPS signal arrival is
corrupted by associated multipath signals that arrive slightly later after
reflecting from nearby reflecting surfaces. A significant source of
multipath reflections is the location of reflecting surfaces near or below
the horizon view of the GPS antenna. These multipath reflections can be
minimized by antenna designs whose gain near and below the horizon is
sufficiently low to reject multipath signals.
The precision of the differential carrier doppler phase measurements is
ultimately limited by thermal noise, which is accurately predictable from
the strength of the GPS signal, the noise figure of the receiver, and the
bandwidth of the tracking loops. Thus the goal of GPS receiver design is
to reduce the remaining sources of measurement error (including phase
center migration and multipath) so as to be small compared with the
thermal noise. In the case of the differential carrier doppler phase
measurements used in pointing/attitude applications, an appropriate design
goal is to make these error sources small compared to one degree of a
carrier cycle at L-band--for the GPS L1 carrier at 1575.42 MHz, this
corresponds to 0.5286 millimeters, and for the L2 carrier at 1227.6 MHz,
this corresponds to 0.6784 millimeters.
Accordingly, a need exists for an economical GPS system that permits
precise pointing or attitude measurements by eliminating or controlling
distributed error sources.
REFERENCES
1. Bossler, J. D., and C. C. Goad, "Using the Global Positioning System
(GPS) for Geodetic Positioning", Bulletin Geodesique, pages 553-563, 1980.
2. Fell. P. J. "Geodetic Positioning Using a Global Positioning System of
Satellites", Reports of the Department of Geodetic Science, Report No.
299, Reference No. DMA PE63701B/3201/240, The Ohio State University
Research Foundation, Ohio, Jun., 1980.
3. Remondi, B. W. "Using the Global Positioning System (GPS) Phase
Observable for Relative Geodesy: Modeling, Processing, and Results",
Center for Space Research, The University of Texas at Austin, May, 1984.
4. Ashkenazi, V., L. G. Agrotis, and J. H. Yau, "GPS Interferometric Phase
Algorithms", Proceedings of the First International Symposium on Precise
Positioning with the Global Positioning System--Positioning with
GPS--1985, Vol 1, pages 299-313 Apr. 15-19, 1985, Rockville, Md.
5. Henson, D. J., E. A. Collier, and K. R. Schneider, "Geodetic
Applications of the Texas Instruments TI4100 GPS Navigator", Proceedings
of the First International Symposium on Precise Positioning with the
Global Positioning System--Positioning with GPS--1985, Vol. 1, pages
191-200, Apr. 15-19, 1985, Rockville, Md.
6. Remondi, B. W., "Performing Centimeter Level Survey Results in Seconds
with GPS Carrier Phase: Initial Results", Proceedings of the Fourth
Geodetic Symposium on Satellite Positioning, Vol. 2, pages 1229-1250, Apr.
28-May 2, 1986, Austin, Tex.
SUMMARY OF THE INVENTION
The invention is a GPS single-receiver pointing/attitude system and method
for deriving pointing/attitude measurements using multiple GPS antennas
but only a single GPS receiver.
For pointing (azimuth and elevation), the minimum configuration is two GPS
antennas attached to a rigid beam (or other foundation). For attitude
(roll, pitch/elevation and yaw/azimuth), the minimum configuration is
three GPS antennas arranged in a triangular pattern and attached to a
rigid platform (or other foundation). In either case, for this invention,
the spatial distance between antennas must be well within the correlation
interval for the selected PRN code (plus/minus 29.3 meters for P-code, and
plus/minus 293 meters for C/A-code). The invention includes all
oversolution applications (i.e., more than two antennas arranged in line
for pointing, more than three antennas arranged in a plane for attitude,
and more than the minimum number of GPS satellites) to improve
performance.
In one aspect of the invention, the GPS single-receiver pointing/attitude
system derives pointing/attitude measurements from selected GPS carrier
and PRN code (either P or C/A) signals recovered from GPS navigation
signals. The system includes multiple antennas coupled to a single GPS
receiver.
The antennas--a reference antenna and at least one slave antenna--are
configured in a fixed spatial relationship, such that antenna separation
is significantly less than the correlation interval for the selected PRN
code.
The GPS receiver includes (a) reference precorrelation and correlation
electronics, and (b) for each slave antenna, slave precorrelation and
correlation electronics. In addition, the GPS receiver includes at least
one replica carrier generator for generating a replica of the selected
carrier signal, and at least one replica PRN code generator for generating
a replica of the selected PRN code signal.
The reference and slave precorrelation electronics provide respective
reference and slave digital representations of the GPS signal received by
the reference and slave antennas from a selected satellite. The digital
reference and slave GPS signals are respectively coupled to the reference
and slave correlation electronics.
The reference correlation electronics includes a carrier mixer and a
selected number of code correlators, which are responsive to (a) the
reference GPS signals, and (b) replica carrier and replica code signals,
for providing reference in-phase (I) and quadrature (Q) correlation
outputs. The slave correlation electronics includes a carrier mixer and at
least one code correlator, which are responsive to (a) the slave GPS
signals, and (b) replica carrier and replica code signals, for providing
slave I and Q correlation outputs.
A GPS processor is responsive to (a) the reference I and Q correlation
outputs for tracking the selected satellite with the reference antenna
(the slave antenna need not be tracked), and (b) the reference I and Q
correlation outputs and the slave I and Q correlation outputs, which are
phase shifted in proportion to the displacement (pointing) of the slave
antenna with respect to the tracked reference antenna, for computing
pointing/attitude measurements.
Thus, the single-receiver pointing technique involves: (a) establishing a
conventional reference antenna tracking loop to obtain reference I and Q
correlation outputs from a set of reference code correlators assigned to
the reference antenna, (b) generating slave I and Q correlation outputs
from at least one slave correlator assigned to the slave antenna; and (c)
processing the reference and slave I and Q signals (using differential
carrier doppler phase or code phase measurements) to determine phase
differences from which pointing can be computed.
In more specific aspects of the invention, the reference correlation
electronics can include Early, Prompt (or On-time) and Late (EPL) code
correlators, while the slave correlation electronics can be implemented
using only a Prompt code correlator. Pointing/attitude measurements are
based on computations of carrier phase differences between the reference
antenna and the slave antenna according to the relationship:
TAN.sup.-1 ((I.sub.RP *Q.sub.SP -Q.sub.RP *I.sub.SP)/(I.sub.RP *I.sub.SP
+Q.sub.RP *Q.sub.SP))
where I.sub.RP and Q.sub.RP are respectively in-phase and quadrature Prompt
correlator outputs for the reference antenna, and I.sub.SP and Q.sub.SP
are respectively in-phase and quadrature slave prompt correlator outputs
for the slave antenna. A reference antenna tracking loop is established
using the EPL I and Q outputs from the reference code correlators, while
the above carrier phase difference computation only requires the Prompt I
and Q outputs from both the reference and slave correlators. Preferably, a
single set of replica carrier and code generators is used in common for
both the reference and slave antenna signals.
As an alternative to using differential carrier doppler phase measurements
for pointing/attitude computations, the reference and slave I and Q
correlation outputs can be used to compute reference/slave code phase
difference measurements.
For GPS receivers in which each channel includes extra correlators (i.e.,
in addition to the EPL correlators typically used for tracking), the slave
correlation electronics can be implemented using at least one of the extra
correlators. In this implementation, the only additional hardware required
is a mixer for each slave antenna. During search, all correlators can be
used in a conventional manner to expedite acquisition. Once satellite lock
is acquired, a conventional tracking loop is established for the reference
antenna using the EPL I and Q outputs from the tracking correlators. The
now-idle extra code correlator(s) can be coupled to receive the GPS signal
from the slave antenna, through the slave mixer, along with an appropriate
replica code--for the above carrier phase difference computation, at least
the Prompt replica code would be used to provide Prompt I and Q outputs
from a designated slave code correlator.
The technical advantages of the invention include the following. The
single-receiver GPS design provides a method of GPS signal demodulation
and measurement that is both economical (high commonality of hardware) and
precise (elimination or control of distributed error sources likely to be
encountered when using separate GPS receivers), permitting a highly
accurate computation of pointing and attitude. The GPS single-receiver
pointing/attitude system can be used in conjunction with an inertial
guidance system, providing not only pointing/attitude measurements, but
also an accurate source of calibration measurements, thereby allowing
lower cost inertial guidance systems to be used.
The receiver tracks a reference antenna using conventional correlation
hardware, adding for each slave antenna only an additional mixer and an
additional code correlator (or correlators) to produce in-phase I and
quadrature Q outputs for the slave antenna(s)--these slave I and Q outputs
are phase shifted in proportion to the absolute displacement (pointing) of
the slave antenna(s) with respect to the reference antenna, and can be
used for pointing or attitude measurements. A common set of replica
carrier and code generators can be used to minimize hardware duplication.
Either P-code or C/A-code signals may be used for both tracking and
pointing/attitude measurements.
The reference I and Q and slave I and Q outputs from the associated code
correlators are processed differentially, minimizing common mode receiver
error in the GPS observables, such as oscillator noise, code and carrier
generator noise, and time bias error, such that the receiver error is
largely characterized by thermal noise (which can be predicted).
Pointing/attitude computations can be based on either differential carrier
doppler phase measurements, or on code phase difference measurements.
Information available in the differential carrier doppler phase
measurements can be used to solve for the precise antenna phase center
separation (rather than relying on the initial a priori measurement of the
antenna baseline), providing an accurate estimate of the antenna baseline
separation which, in turn, improves the pointing or attitude measurement
accuracy. In addition, an index can be added at precisely the same
physical location on each of the multiple and identical GPS antennas
(reference and all slaves), and used to orient the antennas identically on
a platform, minimizing differential phase center migration which reduces
the error contribution by the GPS antennas.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 illustrates an exemplary GPS antenna/receiver configuration of the
single-receiver pointing system of the invention;
FIG. 2 illustrates an exemplary antenna structure for the GPS
single-receiver pointing system;
FIGS. 3a-3c illustrate the phase difference relationship for GPS navigation
signals received by reference and slave antennas from two GPS satellites,
including illustrating the ambiguity problem caused by path differences
that include an unknown integer number (M and N) of wavelengths in
addition to the precisely measured phase difference within one wavelength;
FIG. 4 illustrates an exemplary precorrelation and correlation electronics
block diagram for the GPS single receiver pointing system;
FIG. 5 illustrates in functional block diagrams the RF, Analog, Digital,
and Control/Display modules for an exemplary GPS single-receiver pointing
system;
FIGS. 6-9 respectively illustrate in further functional detail the RF
Assembly, Analog module, Channel-on-a-Chip (COAC) used in the Analog
module and the Digital module of an exemplary GPS single-receiver pointing
system; and
FIGS. 10a and 10b illustrate the software functions performed by the GPS
single-receiver pointing/attitude system.
DETAILED DESCRIPTION OF THE INVENTION
The Detailed Description of an exemplary embodiment of the GPS
single-receiver pointing/attitude system of the invention is organized as
follows:
1. GPS Single-Receiver Pointing Embodiment
2. Differential Carrier Doppler Phase
2.1. GPS Interferometry
2.2. Ambiguity Resolution
2.3. Computing the Pointing Vector
3. Single-Receiver Pointing Technique
3.1. Reference/Slave Correlation
3.2. Carrier Phase Difference Measurement
3.3. Code Offset Coarse Measurement
3.4. Pointing Observables
3.5. Error Sources
4. Exemplary GPS Receiver
4.1. Antennas
4.2. RF Assembly
4.3. Analog Module
4.4. Digital Module
4.5. Software
5. Conclusion
The exemplary embodiment of the invention is described in relation to a GPS
single-receiver pointing system for deriving precise pointing measurements
using two antennas (reference and slave) mounted to a rigid beam. This
Detailed Description can be routinely extended to a GPS single-receiver
attitude embodiment by providing a reference and at least two slave
antennas mounted on a platform that defines a plane. In addition, the
Detailed Description can be routinely extended to oversolution pointing
embodiments with more than two slave antennas mounted co-linearly with the
reference antenna to a beam, and to oversolution attitude embodiments with
more than three antennas mounted on a platform, thereby improving
performance through redundancy.
1. GPS Single Receiver Pointing Embodiment. The exemplary GPS
single-receiver pointing embodiment of the invention is illustrated
generally in FIGS. 1 and 2
Referring to FIG. 1, the GPS single-receiver pointing embodiment 10
includes an antenna structure 12 with two GPS antennas 14 and 15 mounted
to a rigid beam 16. Antenna 14 is designated the reference antenna, and
antenna 15 is designated the slave antenna.
The reference and slave antennas 14 and 15 should be proximate in that
antenna separation should be significantly less than the correlation
interval for the selected PRN code signal--58.6 meters for P-code, or 586
meters for C/A-code. An appropriate antenna separation would be 5 meters
or less.
GPS navigation signals (Carrier, PRN Code and Navigation Message Data) are
received by GPS antennas 14 and 15, and applied to RF/IF modules 21 and
22, which provide the L-band down conversion portion of the precorrelation
electronics for both antenna signals.
An Analog module 30 receives the reference and slave IF GPS navigation
signals into respective Ports 1 and 2. The Analog module provides the
signal conditioning and analog-to-digital conversion for both ports, which
completes the precorrelation electronics, and includes separate
correlation electronics for the received reference and slave IF GPS
navigation signals.
The reference and slave precorrelation electronics convert the
corresponding analog GPS navigation signals to digital signals that are
input to the correlation electronics. The reference and slave correlation
electronics generates replica code and carrier signals, and include the
mixers and code correlators that provide the in-phase I and quadrature Q
outputs for the code and carrier loops.
A Digital module 35 receives the reference and slave I and Q correlator
outputs (Early, Late and Prompt), and implements (a) conventional
reference receiver tracking, and (b) differential carrier doppler phase
processing to obtain pointing measurements according to the invention. For
reference receiver tracking, the reference correlation electronics and the
Digital module establish a conventional GPS satellite tracking loop using
the GPS navigation signals received from a selected satellite by the
reference receiver--the slave antenna need not be tracked to compute
pointing/attitude according to the invention.
For the exemplary GPS single-receiver pointing embodiment, the digital
module processes the Prompt I and Q outputs from the reference and the
slave code correlators to measure the phase difference between the GPS
navigation signals received by the reference and slave antennas from a
selected satellite (see, Section 3). The Digital module then computes
pointing using conventional differential carrier doppler phase processing.
For attitude determinations, the GPS receiver can be configured with an
additional GPS antenna, associated precorrelation electronics and an
additional port to the correlation electronics.
FIG. 2 illustrates an exemplary antenna structure 40, that includes
reference and slave antennas 42 and 44 mounted on a rigid beam 45,
separated by about one meter. The antenna structure can be configured for
mounting on a tripod or vehicle.
2. Differential Carrier Doppler Phase. The GPS single-receiver
pointing/attitude system of the invention implements conventional
differential carrier doppler phase processing techniques used in GPS
interferometry, including processing techniques for eliminating receiver
error sources (referenced in the Background).
These error processing techniques have been developed in the context of
geodetic surveying using widely separated GPS receiver/antennas, but also
apply to the closely spaced reference and slave GPS antennas 14 and 15
mounted at the ends of the beam 16. As with geodetic surveying, pointing
involves determining the azimuth and elevation angles for the baseline
pointing vector established between the phase centers for the reference
and slave antennas.
In contrast to geodetic applications using a reference antenna/receiver
(known location) and a slave antenna/receiver (unknown location), for
pointing applications using the GPS single-receiver pointing embodiment
10, the separation between the reference and slave antennas 14 and 15,
i.e., the magnitude of the baseline vector, is known a priori fairly
precisely because they are rigidly mounted and move together. However, the
pointing angle of the baseline pointing vector defined by the direction of
the beam in azimuth and elevation is unknown, and typically changing.
2.1. GPS Interferometry. The same vector computation techniques used in
geodetic applications are used to determine the relative direction from
the reference antenna to the slave antennas 14 and 15, and therefore, the
desired pointing vector.
That is, conventional geometric principles establish the pointing angle for
the line defined by the physical arrangements of the reference and slave
antennas, and conventional GPS interferometry principles provide the
differential carrier doppler phase measurement techniques for computing
that pointing angle. In particular, the single-receiver GPS pointing
technique of the invention uses these GPS interferometric principles to
compute pointing from carrier doppler phase observables.
Geodetic interferometry techniques for pointing can be based on the
differential processing of either (a) pseudo range observables alone, or
(b) a combination of pseudo range and carrier doppler phase observables.
In dynamic point positioning, differential processing is applied to pseudo
range observables, yielding a relative accuracy for the pointing vector of
about 1 to 3 meters with the smoothing provided by a one second time
constant filter (which can be improved with longer time averaging). With
interferometry techniques, the continuously counted carrier doppler phase
observables are also used, resulting in a differential accuracy for the
same smoothing time constant of about 1 to 3 millimeters, which is about
three orders of magnitude more accurate than dynamic point positioning.
2.2. Ambiguity Resolution. GPS interferometric techniques involve ambiguity
in the solution space for the carrier doppler phase measurements, which
must be resolved. Specifically, the carrier doppler phase measurement
repeats every wavelength of the GPS carrier frequency, which is about 19
centimeters for L1.
Thus, the actual path difference for the reference and slave antennas to a
selected satellite will be the distance corresponding to the precisely
measured phase difference plus an unknown integer number of wavelengths.
As a result, a number of path-difference solutions exist within the
uncertainty region, creating an ambiguity problem at every integer
wavelength. Dynamic point positioning may be useful in reducing the
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