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Real-time Synthetic Vision Cockpit Display for General Aviation

Andrew J. Hansen, W. Garth Smith, and Richard M. Rybacki
MetaVR, Inc.

ABSTRACT

Low cost, high performance graphics solutions based on PC hardware platforms are now capable of rendering synthetic vision of a pilot's out-the-window view during all phases of flight. When coupled to a GPS navigation payload the virtual image can be fully correlated to the physical world. In particular, differential GPS services such as the Wide Area Augmentation System WAAS will provide all aviation users with highly accurate 3D navigation. As well, short baseline GPS attitude systems are becoming a viable and inexpensive solution. A glass cockpit display rendering geographically specific imagery draped terrain in real-time can be coupled with high accuracy (7m 95% positioning, sub degree pointing), high integrity (99.99999% position error bound) differential GPS navigation/attitude solutions to provide both situational awareness and 3D guidance to (auto) pilots throughout en route, terminal area, and precision approach phases of flight.

This paper describes the technical issues addressed when coupling GPS and glass cockpit displays including the navigation/display interface, real-time 60Hz rendering of terrain with multiple levels of detail under demand paging, and construction of verified terrain databases draped with geographically specific satellite imagery. Further, on-board recordings of the navigation solution and the cockpit display provide a replay facility for post-flight simulation based on live landings as well as synchronized multiple display channels with different views from the same flight. PC-based solutions which integrate GPS navigation and attitude determination with 3D visualization provide the aviation community, and general aviation in particular, with low cost high performance guidance and situational awareness in all phases of flight.

Keywords: situational awareness, real-time visualization, correlated terrain databases, geographically specific satellite imagery

1.0 INTRODUCTION

A remarkable transition in state-of-the-art image generation is taking place as single purpose, specialized rendering hardware is being replaced with off the shelf components driven by PC-based processors. The dramatic performance improvements realized by the PC graphics industry in the last two years has leveraged the broad base of innovation across the industry. The rich mix of focused development efforts in chip design, bus architecture, software driver standards, and processor technology feeds the continuous improvement in PC graphics capability that is reaching the upper echelons of visualization-simulation (VizSim) performance standards. This paper focuses on the underlying capabilities needed to render the virtual environment in a mobile platform such as an aircraft. Primarily these are the image generator hardware and software implementation and the generation of a three-dimensional database of the environment including terrain, aircraft, and cultural features. It does not address symbology and information content that should be displayed and interested readers are referred to [1,2].

These low cost, high performance graphics solutions based on PC hardware platforms are now capable of rendering both moving map displays and synthetic out-the-window views of a moving vehicle with an extremely high degree of realism. By coupling with a GPS navigation/attitude payload the virtual image can be fully correlated to the physical world in real time. In particular, differential GPS services such as the FAA's Wide Area Augmentation System (WAAS) [4] will provide users with highly accurate 3D navigation information. The WAAS position solution is specified to have accuracy better than 7.5m 95% and a guaranteed (99.99999%) confidence interval [5]. Prototype implementations of WAAS are achieving nominal accuracy of about 1-2m 1-sigma in all three dimensions [6]. Carrier phase GPS based attitude heading references system (AHRS) prototypes are also being implemented [7,8,9] which can provide sub degree accuracy in all three axes, roll/pitch/yaw. Integration of accurate position/velocity/attitude state information and a highly capable rendering engine enables synthetic image generation of the physical scene.

The underlying resource that ties these two pieces together is an accurate and reliable geographic database that describes the physical environment. It must be accessed efficiently to serve the real time application but also have the fidelity to enhance rather than detract from the pilot's situational awareness. Our solution incorporates geographically specific satellite imagery and cultural features into an efficient terrain database. The satellite imagery provides contextual information for situational awareness while specific cultural features such as runways can be inserted as additional objects with higher resolution and special properties. For run time flexibility, the resulting database can be stored in memory or demand paged off of a storage device using a "look ahead" algorithm. Real time performance for extremely high-resolution terrain (100m post) and imagery (5m) is supported using hierarchical level of detail switching. In addition the render engine has variable field of view and far horizon clipping plane parameters so that the necessary display refresh rates can be maintained. The solution we describe below borrows heavily from the visual simulation concepts developed in distributed interactive simulation (DIS) research with the new twist that high fidelity high performance can be achieved on PC platforms. The economies of scale in this arena provide low cost systems and the impetus to move toward embedded solutions. While all of the features currently supported by 3D VizSim applications may not be appropriate in the cockpit, we identify them here as candidates for use and leave their designation to the community at large.

The remainder of this paper first touches briefly on the linkage of position/velocity/attitude state information and the virtual environment in the computer. We then focus on the visualization hardware and the innovations in the graphics industry which now provide the power to render one or more 3D out-the-window scenes or 2D top down moving maps (so called plan view displays). The next section focuses on our database construction process, database storage requirements, and its correlation to truth. We close with some comments on the opportunity to extend the cockpit display to a networked solution where, given a low bandwidth communication channel, information from multiple entities could be included in the display. In this mode the display could provide additional situational awareness vis-a-vis TCAS I/II systems that have a cockpit display of traffic information (CDTI).

2.0 LINKING AIRCRAFT STATE TO VIRTUAL ENVIRONMENT

2.1 Navigation: Position, Velocity, and Attitude

In order to place the virtual aircraft at the appropriate position and orientation in the virtual environment, sensor system outputs of the aircraft's position, velocity, and attitude must be available to the graphical render engine in real time. Differential GPS navigation and attitude determination is a low cost option for obtaining these states in the aircraft. The geographical extents covered in aviation applications are well served by wide area differential GPS (WADGPS) systems for real time positioning. Likewise the global coverage of GPS allows a user with multiple antennas to compute an attitude solution at any position within aviation capability.

The FAA is specifically developing the Wide Area Augmentation System (WAAS) for seamless, high integrity navigation in all phases of flight. Successful prototype signal-in-space flight tests have already been implemented and carried out by the FAA Technical Center with Stanford Telecommunications [13] and Stanford University [5]. The WAAS uses a geosynchronous satellite broadcast channel for continental scale coverage and high data link availability. In cooperation with the FAA and industrial representatives, RTCA, Inc. has written the WAAS Minimum Operational Performance Standards [12] (WAAS MOPS) to specify the WAAS signal structure and the application of the differential corrections to stand alone GPS measurements. The WAAS navigation payload includes a GPS receiver capable of receiving an additional 250 bps WAAS data stream from a geosynchronous satellite. The WAAS message stream is unpacked to form differential corrections for satellite clock and ephemeris errors as well as a differential ionospheric correction. These corrections are then applied to the standard GPS measurements for each satellite in view. The differentially corrected signals form the basis for the navigation solution and its associated confidence interval. This navigation solution, which contains both position and velocity, is fed directly to the image generator in the form of WGS84 coordinates.

Synthetic vision applications are very sensitive to errors in attitude determination because the entire field of view is controlled by the orientation of the viewpoint. Low cost AHRS based on carrier phase GPS are now incorporating rate or inertial aiding [7,8] to provide the accuracy and noise performance necessary to drive cockpit displays. Strapdown AHRSs are also shrinking the antenna baselines needed to achieve sub degree accuracy in all three directions [9]. The resulting attitude solution in body coordinates can be input directly to the image generator. Adequate systems require an update rate on navigation and attitude of at least 10 Hz [1] in order to reach suspension of disbelief for the operator. Of course the faster the better, but in any case if the sensor inputs do not update at the frame rate of the display system a model of the aircraft is propagated forward to update the synthetic vision viewpoint to maintain the 60 Hz visual update rate.

In flight, updating the aircraft model which must reside in the same coordinate system as the terrain database requires a transformation of the navigation solution from WGS84 coordinates to the local coordinates of the database. This does require some additional but necessary computation. The virtual environment database needs sufficient fidelity to fully

Figure 1. The image generator ingests the 3D-database and real time data from position/attitude sensors to determine the viewpoint for the synthetic scene and pushed onto graphics card for rendering.

correlate the sensor states with the terrain in the rendered image. Spheroidal coordinate systems such as WGS84 cannot provide that level of fidelity and the database must use local coordinate system based on a geoid.

2.2 Distributed Interactive Simulation Protocol

As briefly mentioned above the sensor states may need to be propagated forward some number of epochs as the render engine my update faster than the navigation and attitude updates are available. Our implementation abstracts the input linkage from the sensor systems to the render engine. We utilize the IEEE standardized [14] Distributed Interactive Simulation (DIS) protocol for inserting new sensor updates into the virtual environment. This DIS protocol exists at the application layer of the communications stack. It is built upon User Datagram Protocol (UDP) packets called Protocol Data Units (PDUs). These PDUs are well defined in the DIS standard and include necessary elements such as kinematic model parameters as well as graphical information in the form of texture and polygonal models.

One added benefit to the DIS approach is that multiple views from the same entity can be added simply by plugging in another render engine. Another, and we believe more powerful benefit, is that multiple entities can appear in the same virtual environment exactly as they do in the physical environment. An entire suite of functionality including multicasting, loss tolerance, forward state prediction, and communication protocol is already defined and implemented by the VizSim community. DIS is abstracted from the physical layer so that the network could be a high speed wired intranet or just as easily a low bandwidth wireless LAN so far as the application is concerned. In fact, DIS is expressly designed for a heterogeneous network where some paths have much greater bandwidth than others. This flexibility has direct benefits for future applications that include multiple entities (other air traffic).

An additional feature of the DIS network solution is the ability to log PDU packets being transmitted. By logging the state information in PDU form, the entire flight can be captured for playback. This is particularly useful for experimental or testing purposes in early development of operational systems to replay and view from any vantage point using a six-degree-of-freedom pointing device.

3.0 IMAGE GENERATION

The image generator is the core of the cockpit display. As shown in Figure 1 it ingests the terrain database and aircraft models and accepts input from the navigation and attitude payloads. One or more graphics engines slaved to the image generator can then render images to the screen with one viewpoint for each engine. The baseline mode is a single 3D out-the-window view out the front of the aircraft showing the terrain and cultural features in the environment. Adding an additional graphics engine or switching modes to the plan view display provides the pilot with a top down moving map. This approach is very appealing as it can immediately utilize advances in hardware performance offered by the industry as it continues to improve.

The image generator is currently hosted on a PC platform. It requires a graphics card that supports the DirectX API and can utilize either the PCI or AGP bus as the graphics pipeline. A host platform consisting of a 450MHz Pentium II processor with 512Mb of RAM and a Canopus Spectra 2500 with 16Mb of VRAM consistently maintains 60Hz frame rates for fields of view covering a 50 km radius at velocities up to Mach 3. Note that these frame rates are significantly higher than the update rates that the navigation/attitude sensors support. An important consideration in the software development of the image generator was the graceful degradation in performance as either the host platform is scaled back or the fidelity of the database is scaled up. We have already implemented laptop PCs rendering 3D out-the-window views of the virtual world.

DirectX and OpenGL capable graphics cards are designed to render polygonal shapes as triangular patches in hardware. Textures may also be stored in memory and applied to these polygons as part of the hardware processing of the render engine. The image generator is responsible for pushing the textures up into video memory and then pipelining the polygonal shapes from the terrain database up to the graphics card using in our case either the PCI or AGP bus under the DirectX protocol. As such there is a balance that needs to be struck to ensure that the central processor and the graphics chip set are reasonably well matched in performance. The CPU must index and arrange the terrain polygons based on the current aircraft state and the graphics card is responsible for rendering the textured polygons.

The importance of the level of detail (LOD) switching and demand paging now becomes clear. LOD switching aids in balancing the load between the CPU and graphics card. If the current field of view has too many textured polygons for the graphics card to handle then the CPU can switch some of the far field regions to lower resolution and thereby reduce the number of polygons being rendered. This LOD switching is an improvement over the simplest form of switching which is the insertion of a clipping plane that limits the field of view. To accomplish LOD switching the image generator and database must be intimately coupled as not only does the polygon resolution switch but also the textures applied to them. For platforms that have memory limitations the image generator can invoke demand paging of regions of the database that are coming into the field of view. Knowing velocity states allows the image generator to look ahead in the database to see if upcoming regions are loaded into memory and ingest them in the event that they are not.

The core process in the image generator is to continuously update the viewpoint of the virtual aircraft at each epoch. Under the DIS paradigm the aircraft state is propagated forward from the last PDU update. In the host platform this is nominally never longer than 20 msec. The local region of the terrain database which is stored in memory is then interrogated to assemble the textured polygons for pipelining up to the graphics renderer. If other entities besides the host aircraft are in view they are also updated and their virtual representation is pushed up the graphics pipeline.

There are many other features available from VizSim applications that are probably not useful in the cockpit such as variable visible spectrum, DirectSound output, atmospheric emulation of fog and clouds, and six degree of freedom input device compatibility. However, the existence of these features demonstrates the head room available in this implementation which can be converted into other more pertinent features such as situational awareness symbology, tunnel-in-the-sky guidance [2], and traffic information.

Neglecting the navigation and attitude platforms, the hardware necessary for the image generator is currently on the order of $4000. Once available, projections for WAAS and AHRS system prices are in the ones of thousands of dollars. This places hardware costs for first generation integrated cockpit displays at around $10-15k plus installation. Our expectation on cost trends is that they would follow the precedence set in the rest of the VizSim market: continual improvement in the price/performance point at market. There are also certification and recurring costs associated with any avionics systems which we do not have sufficient experience to comment on with the exception of generating and updating the 3D databases. Because of the proliferation of the underlying resources (elevation data and satellite imagery) and competing utilities for database construction we also expect the database generation costs to decline. The ultimate goal for a cockpit display is the integration of the attitude/navigation/renderer into a single embedded system which could drive a flat panel display

4.0 TERRAIN AND IMAGERY RESOURCES

Terrain information is typically available in raw form as digital elevation maps (DEMs) or digital terrain elevation data (DTED) at various levels of resolution. In order to create a terrain database that can be rendered on a computer this information must be converted into polygonal surfaces that represent the surface of the terrain. These polygonal elements are well suited to image generation as the industry has optimized graphics chip sets to handle them in hardware. This optimized hardware is now readily available on PC platforms. One of the most important considerations in this conversion is the need for extreme efficiency in both the size and accessibility of the resulting database so that the image generator can ingest and render the virtual scene. For even medium fidelity terrain information, say 125m, post, and a reasonable coverage area for aviation, say 5° x 5° cells, the raw data for elevation information alone can run into the hundreds of megabytes in size. We defer the discussion of our conversion process and the resulting database to the next section.

Another important part of generating a convincing image for the user is the texture overlay on the terrain surface. Our approach is to apply geographically specific satellite imagery on the terrain polygons. By overlaying real imagery that is coordinated directly to the terrain data, the scene that is eventually rendered by the visualization engine has a very high degree of realism. The sources for satellite imagery are increasing rapidly and we anticipate that the vast majority if not all of the national air space (NAS) will be covered and in fact frequently and continuously renewed with world wide coverage soon to follow. Even at this time custom imagery for any particular location can be ordered directly off of the World Wide Web from commercial vendors.

Our secondary approach to overlays follows the standard approach of texture mapping each surface. Here synthetic textures are created and used in place of the satellite imagery where it is not available. In either case, real imagery or synthetic textures, rendering of terrain polygons is treated exactly the same by the render engine as the database is responsible for arbitrating the virtual world including the overlays.

There are several sources of elevation maps in digital form. NIMA outputs Digital Terrain Elevation Data (DTED) at various levels of resolution, typically only the lowest level is openly available. The USGS supplies elevation data in the form of Digital Elevation Maps (DEMs) which can be purchased on the web. ERDAS Imagine, CTDB, and other formats commonly used for GIS applications are also available commercially. We utilize primarily DTED, CTDB, and soon DEM data formats as the raw elevation resource for constructing the terrain database.

Satellite an aerial imagery is the other commodity we rely on for generating high fidelity databases. The commercial availability of high-resolution geographically specific imagery is growing. Individual providers are already offering photo to order imagery purchases over the web. We have already worked with products from ImageLinks in the 10-50m range. Although not openly available classified customers also have access to high resolution (1m) satellite imagery from NIMA. The important and necessary condition of the imagery is that it be geographically specific, that is ortho-rectified and pin-pointed to a reference in a standard coordinate system. This real imagery can then be draped onto the terrain surface and replace older approaches using synthetic textures.

For application specific information such as that needed for aviation, cultural features may be inserted into the database as explicit objects. An example is the runway and markings at a specific airport. These types of features can be created in a number of different formats. The industry standard is the OpenFlight format from MultiGen, Inc. but many other new and heritage formats such as VMAP, AGRD formats. The importance of the OpenFlight format is that it also supports models for dynamic entities such as aircraft. We invoke the OpenFlight format to ingest cultural features generated from graphics and modeling tools available in the industry as well as the ARDG format for cultural features on the plan view display. Although some models are already available commercially, most of the creation of cultural features and object models is carried out on a specific project basis. We see this approach eventually converging to a pool of models openly available to the community.

Figure 2. The database construction process assembles a 3D terrain database suitable for input to the image generator from three basic resources: digital elevation data, geographically specific imagery, and designated cultural features.

5.0 DATABASE CONSTRUCTION

The elegance of our terrain database construction which uses geographically specific imagery is that it provides a real world source for constructing cultural features such as buildings, road networks, vegetation, bridges, even power grids if the image resolution is high enough. We are currently developing a palette base utility for constructing 3D terrain databases that integrate these three elements, digital elevation maps, geographically specific imagery, and automated cultural feature generation into one umbrella application. This utility will be capable of directly feeding the image generator during database design for viewing the construction on the fly. As such it will provide a suitable facility for mission planning, mission briefing, and mission rehearsal. The current database construction utility functions as a wizard type application which allows the user to enter raw data resource file names and then automatically generates the resulting database.

The three fundamental components of our database construction are the ingest of the digital elevation information, ingest of bitmap based geographically specific imagery, recognition and conversion of imagery details into cultural features (not yet available), and export to any of four database formats: MDB, MDX (both MetaVR specific), CTDB, and OpenFlight. To support the highest levels of image rendering, the MDX database format supports hierarchical levels of detail with switching controlled by range thresholds on both terrain and textures. This allows the central processor in the image generator to match the rendering capabilities of the highest end graphics cards that have 180Mpixel fill rates. The database format also allows terrain information to be loaded by the render engine incrementally using look-ahead demand paging.

The most important consideration is full correlation between entity state coordinates and the terrain database. As noted by Barrows [2] and Ourston [10], lack of correlation in some current implementations is unacceptable, particularly in exercises as the virtual scene is not convincing and detracts heavily from the qualitative performance of the simulation. MetaVR's MDB and MDX database formats are fully correlated terrain databases that eliminate any such anomalous behavior. By using a local geoid coordinate system and transforming the WGS84 coordinate aircraft states in the image generator the entities are guaranteed to be consistent with the terrain. This of course does not mitigate errors due to the level of resolution for the terrain elevation data.

The raw elevation data is tessellated into triangular patches [11] using a Delaunay triangulation where the vertices of the triangluation are the locations of the elevation data in the local coordinate system. This is a fast routine and is computed repeatedly on sub sampled intervals to generate various levels of detail. The geographically specific imagery is then cut into patches corresponding to the levels and indexed to the appropriate triangular surfaces.

The incorporation of cultural features is currently supported on an internal format (MetaVR CLT). Development of a VMAP capable module is in process to support interoperable ingest/export of cultural features. This will provide a clear path for an imagery to cultural feature format that is sharable. We envision the downstream capability, given adequate imagery, to professionally construct and modify scenarios for training and planning.

The 3D virtual environment database also contains the models of physical entities, e.g. aircraft. These are critical for the image generator as they provide the mechanism by which the virtual scene can be propagated at very high rates (60 Hz) for rendering to the screen. At each epoch, if new state information is not available from the navigation or attitude subsystem, the states are propagated according to the properties specified in the aircraft model. This of course leads to models which are specific to the type of aircraft being simulated, e.g. Cessna 152 versus Boeing 737, in order to capture the pertinent physical properties. The inclusion of such models is particularly important if one desires to render other aircraft in the virtual scene as we describe in the next section.

The following four figures depict the underlying terrain database and its full rendering with the satellite imagery overlay. Figures 3 and 4 show a relatively flat region with the satellite imagery capturing the road network and surrounding buildings. The contextual information in the satellite imagery provides very strong situational awareness that is not available in texture mapping and extremely user intensive to design by hand in graphical models. The pair of images in Figure 5 is the wire frame and full imagery of a coastal region in Alaska, Prince William Sound, and demonstrate the LOD capability. The geographically specific satellite imagery is 25m at highest resolution. Figure 6 is a screen capture of the 2D plan view display mode of the graphical render engine. It is most useful in applications that require a moving map display with a great deal of cultural information and possibly other traffic information for situational awareness.

6.0 POTENTIAL FOR COLLISION AVOIDANCE APPLICATIONS

The network capable image generator described in Sections 3 and 4 provides the possibility of displaying other entities on the cockpit display to realize a CDTI. That is, given a low bandwidth communications channel upon which other aircraft could transmit time tagged state information the display could render those aircraft on the display. The DIS protocol mentioned above is well suited for such an application because it codifies the packet format and content necessary to propagate entities in the virtual environment. Indeed this was its designated purpose in simulated training applications for the U.S. military where it originated.

In the current application each aircraft would broadcast its identity, type, and state information over a given communication channel, eventually say the automatic dependent surveillance ADS-B data link. Gazit [11] gives general overview of this type of improved aircraft tracking and avoidance as well as the data link implications. The image generator would have an internal model of all other aircraft types or at least the capability to request and incorporate such a model. An instantiation of any one of these models may be propagated by the image generator for each unique aircraft broadcasting state information intermittently in the local region. The high level of fidelity already available in aircraft models reduces the bandwidth burden of updating other entities in the virtual environment. Unlike the host aircraft whose state information must be tightly coupled to the image generator, other traffic would require much lower update rates to realistically render their modeled entities.

VRSG Wire Frame Mode

Figure 3. The wire frame image of the underlying terrain polygons shows the varying levels of detail that are stored within the virtual environment database. This image is a screen capture from the real time image generator.

Imagery Draped Over Geometry in VRSG

Figure 4. Geographically specific satellite imagery is applied to the terrain polygons in patches. Multiple patch sizes are encoded into the database for varying levels of detail. This image is a B/W screen capture from the real time image generator.

Prince William Sound Rendered by VRSG

Prince William Sound Rendered by VRSG in Wireframe

Figure 5. Terrain with extreme amounts of structure can be accommodated with high fidelity.  The bottom graphic is a wire frame image of the Alaskan coastline. On the top is the fully rendered scene with imagery.

MetaVR Digital Moving Map Display

Figure 6. Top down views of additional cultural features are also possible using the plan view display mode. This image displays a moving map that is shifting underneath the aircraft's viewpoint.

7.0 CONCLUSIONS

The integration of fully capable low-cost image generators, high fidelity terrain databases, and differential GPS navigation/attitude determination provides a viable path to the production of 3D glass cockpit displays for aviation applications, and general aviation in particular. The end goal of such a system is ultimately to aid the pilot by providing enhanced situational awareness. We have described here the basic components of the underlying system: low cost/high accuracy navigation and attitude sensors that are reliable, fully capable image generators that degrade gracefully, and high fidelity virtual environment databases that have complete correlation with the navigation system.

In the fullness of time the FAA's WAAS will provide high accuracy navigation solution with integrity to all equipped aircraft. The continuous, incremental improvement in PC graphics capability will, we predict, push this type of prototype implementation into the realm of an embedded system. At that point the economies of scale would again dramatically reduce the cost of an integrated solution.

8.0 REFERENCES

1. Barrows, A., K. Alter, P. Enge, B. Parkinson, and J. Powell, "Operational experience with and improvements to a tunnel-in-the-sky display for light aircraft", ION GPS'97, September 1997.

2. Barrows, A., P. Enge, B. Parkinson, and J. Powell, "Flying curved approaches and missed approaches: 3-D display trials onboard light aircraft", ION GPS '96, September 1996.

3. Alter, K., A. Barrows, C. Jennings, P. Enge, and D. Powell, "3-D cockpit displays for general aviation in mountainous terrain", ION GPS'98, September 1998.

4. Enge, P., et. al., "Wide area augmentation of the Global Positioning System", Proceedings of the IEEE, 84, #8, 1996.

5. Comp, C., et. al., "Demonstration of WAAS aircraft approach and landing in Alaska", ION GPS'98, September 1998.

6. Walter, T., P. Enge, and A. Hansen, "A proposed integrity equation for WAAS MOPS", ION GPS'98, September 1998.

7. Teague, H., "Low-cost GPS/inertial attitude and heading reference system (AHRS) for EV/SV applications", Proceedings of SPIE, 3691, Aerosense/Enhanced and Synthetic Vistion, April 1999.

8. Gebre-Egziabher, D., R. Hayward, and J. Powell, "A low-cost GPS/inertial attitude heading reference system (AHRS) for general aviation applications", IEEE PLANS '98, April 1998.

9. Hayward, R., and J. Powell, "Real time calibration of antenna phase errors for ultra short baseline attitude systems", ION GPS'98, September 1998.

10. Ourston and Reece, "Issues Involved with Integrating Live and Artificial Virtual Individual Combatants", Simulation Interoperability Workshop, March 1998.

11. Hansen, A., and P. Levin, "On conforming Delaunay mesh generation", Advances in Engineering Software, 4, #2, 1991.

12. Gazit, R., Aircraft Surveillance and Collision Avoidance Using GPS, PhD thesis, Stanford University, 1996.

13. RTCA Special Committee 159, Minimum Operational Performance Standards for Airborne Equipment Using Global Positioning System/Wide Area Augmentation, RTCA/DO-229 Change 3, RTCA, Inc., November 1997.

14. Pogorelc, S., et. al., "Flight and static test results for NSTB", ION GPS '96, September 1996.

15. IEEE, "DIS Exercise Management and Feedback-Recommended Practice", IEEE Standard 1278.3, Institute of Electrical and Electronic Engineers, Inc., 1995.

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