Surveillance area as a multiplicatively weighted Voronoi diagram

This paper presents the surveillance area as an ordered order-k multiplicatively weighted Voronoi diagram in /spl Ropf//sup 2/. The boundaries between adjacent radars are the edges of the diagram, defined by the range ratio of radars taken pairwise. The radar range equation is used to describe the proximity rule necessary to generate the diagram. The proximity between a target and a radar is determined by means of a Euclidean distance weighted by the radar range. The common coverage is represented by the Voronoi regions of order-k.

[1]  Themistocles M. Rassias,et al.  A New Characteristic of Möbius Transformations by Use of Apollonius Points of Triangles , 1996 .

[2]  Michael Ian Shamos,et al.  Closest-point problems , 1975, 16th Annual Symposium on Foundations of Computer Science (sfcs 1975).

[3]  Der-Tsai Lee On k-Nearest Neighbor Voronoi Diagrams in the Plane , 1982, IEEE Transactions on Computers.

[4]  D. Brosnihan,et al.  AN/TPS-73-a new tactical, solid-state air traffic control radar system with multi-emission capability , 1990, IEEE International Conference on Radar.

[5]  T.J. Redling Integrated flight control systems-a new paradigm for an old art , 2000, 19th DASC. 19th Digital Avionics Systems Conference. Proceedings (Cat. No.00CH37126).

[6]  Atsuyuki Okabe,et al.  Spatial Tessellations: Concepts and Applications of Voronoi Diagrams , 1992, Wiley Series in Probability and Mathematical Statistics.

[7]  A. L. Hume,et al.  Netted radar sensing , 2003 .

[8]  M.-P. Rudel,et al.  Analysis of radar coverage overlap over the continental U.S , 1999, Gateway to the New Millennium. 18th Digital Avionics Systems Conference. Proceedings (Cat. No.99CH37033).

[9]  J.N. Portela,et al.  Spatial analysis of the overlapping cell area using Voronoi diagrams , 2005, SBMO/IEEE MTT-S International Conference on Microwave and Optoelectronics, 2005..

[10]  Franz Aurenhammer,et al.  Voronoi diagrams—a survey of a fundamental geometric data structure , 1991, CSUR.

[11]  C. J. Baker,et al.  Netted radar sensing , 2005 .

[12]  C. Daskalakis,et al.  Alternative surveillance technology for the Gulf of Mexico , 2004, The 23rd Digital Avionics Systems Conference (IEEE Cat. No.04CH37576).

[13]  S. M. Elnoubi Backup radio site identification in air traffic control systems , 2001 .