Validation of the WAAS MOPS Integrity Equation
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Transcript Validation of the WAAS MOPS Integrity Equation
Absolute Receiver Autonomous
Integrity Monitoring (ARAIM)
Todd Walter
Stanford University
http://waas.stanford.edu
Introduction
GPS is an important component of today’s
aviation navigation infrastructure
Its role will continue to increase over the coming years
Future GNSS constellations will also
become important contributors
However, their incorporation must be done
with great care as the integrity
requirements for aircraft guidance are very
stringent
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Less than 10-7 probability of misleading information
International standards define different types of GNSS
augmentations to achieve this level of integrity
Integrity Monitoring
Satellite-based and ground-based
augmentation systems provide
independent monitoring of the GPS signals
through calibrated ground monitors
Requires ground monitoring network
communication channel to aircraft
Receiver Autonomous Integrity Monitoring
(RAIM) compares redundant satellite range
measurements against each other to
identify and eliminate significant faults
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Requires a greater number of ranging
measurements than SBAS or GBAS
ARAIM Protection Level
GPS
Compass
VPLVPLVPL
VPL
Galileo
GLONASS
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RAIM vs. ARAIM
LNAV requirements are much less stringent
than LPV
Alert limit measure in nautical miles
Only real threat is a large clock error
For LPV MI is hazardous (vs. major)
Alert limit in tens of meters
Many sources of potentially significant errors
Two or more smaller errors may combine to
cause a large enough error
ARAIM needed to more carefully account
for all threats
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Interoperability of Integrity
Interoperability should be a goal not only for
GNSS signals, but also for integrity provision
Augmentation systems already internationally
coordinated
Open service signals should target
performance comparable to or better than
GPS L1 signals today
Different service providers may make different
design choices and different assurances
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However, it is important to establish a common
understanding of how RAIM depends on GNSS
performance and how signals from different services
could be combined to improve RAIM
Cooperation and transparency are essential
Benefits of MultiConstellation RAIM
Combining signals from multiple constellations
can provide significantly greater availability
and higher performance levels than can be
achieved individually
Support for vertically guided approaches
Potential to provide a safety of life service
without requiring the GNSS service provider to
certify each system to 10-7 integrity levels
Creates a truly international solution
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All service providers contribute
Not dependent on any single entity
Coverage is global and seamless
Service Commitment
Each service provider should provide
documentation of their service commitment
Encourage usage by other states
Allows planning of combined service level
Supports development of interface
specifications and user algorithms
Commitment should include details on:
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Accuracy, continuity, availability, fault modes,
broadcast parameters, and other operating
characteristics
Assurances should be provided for minimum
commitments
Specification of Faults
Perform a fault modes and effects analysis
Understand and make transparent potential
faults and their effects
Assure low fault rates
Of order 10-5/SV/Hour
Assure low probability of simultaneous or
common mode faults
Ideally below 10-8/Constellation/Hour
Assure a short time to alert
Not longer than 6 hours
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Maintain independence from other service
providers
Monitoring and Assurance
Methods for monitoring conformity of signal
properties relative to provided assurances
should be agreed upon mutually by service
providers and approval authorities
Require clear unambiguous evaluations of assurances
May be made by any potential approval authority
Desirable to have a means to resolve potential
observations of non-conformity
Long-term monitoring by each sovereign
state is an important component of
establishing reliability
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Each constellation still cross-checked by others in user
avionics
Interface Specification
Each system may broadcast different
parameters or provide different levels of
assurance
However, a common understanding of how
each parameter is used must be reached
The parameters must be combined into a single upper
bound for the joint position estimate
The upper bound must be safe regardless of which
combinations of satellites are used
Also able to account for potentially different properties
Requires a more advanced form of RAIM
than is used currently for LNAV
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Good candidates already exist
Summary
RAIM allows for worldwide aviation navigation without
requiring additional ground infrastructure
Additional GNSS constellations can significantly
improve performance and availability
At a minimum, new GNSS constellations should assure
that their open service signals support existing LNAV
RAIM
Should work together to specify a means to achieve
multi-constellation RAIM for vertical guidance
International cooperation and coordination will be
essential to achieving this goal
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Specification of Accuracy
The dominant error sources should be understood
and characterized
Satellite clock and ephemeris within constellation tied to
clear, stable, global, reference frames
Code and carrier signals coherently derived from a
common source
Well designed signals to reduce multipath, ionosphere,
and distortion effects
International coordination already well-established
Document how the expected performance level is
indicated to the user
Should broadcast expected accuracy for a fault-free
ranging source
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Specification of Availability &
Continuity
Description of constellation geometry
Number of satellites, planes, spacing, etc.
Assure minimum levels of operating
satellites
e.g. .99999 probability of at least 20 primary
slots occupied by satellites broadcasting valid
signals
Assure minimum levels of continuity
e.g. less than .0002 probability of unscheduled
interruption or fault of previously healthy signal
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Lesser minimums support multi-const. RAIM
even if they cannot support stand-alone
Fault Tree and Probability of
Hazardously Misleading Information
(PHMI)
Courtesy:
Juan Blanch
Any mode causes HMI
PHMI0
PHMIk
PHMI1
No failures/ rare
normal create HMI
failure of sat 1
causes HMI
Mode prior
probability = ~1
Mode prior probability = ~1e-4
…
failure of sat k
causes HMI
…
Mode prior probability = ~1e-4
• For each branch, a monitor mitigates the probability of HMI given the
failure
• In ARAIM, the monitors are formed by comparing subset solutions
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