Numerical Studies of Conversion and Transformation in a Surveillance System Employing a Multitude of Radars. Part II,
Abstract
Scale magnification and transformation errors are considered in the application of stereographic projection to the planar representation of target latitude and longitude relative to the reference ellipsoid in a mulitiple radar surveillance system. The representation is accomplished by a two-stage procedure. First, there is a conversion of target altitude together with target azimuth and slant range relative to a radar into a point on a plane unique to the radar. This is followed by a transformation that carries points on the local radar plane into points on a single master plane. Transformation error is viewed as the separation of images on the master plane of the same point in the local radar plane under an ideal mapping formula and polynomial approximations thereof. Tight upper and lower bounds are derived for the errors generated by these approximations under parameter constraints consistent with the structure of practical coverage regions. The transformation process is intimately connected with the factor by which the length of an infinitesimal arc on the reference ellipsoid is magnified under sterographic projection on the master plane. Minimax procedures for maintaining this magnification factor close to unity are considered. These procedures provide an upper bound on the deviation of the magnification factor from unity over the coverage region that is dependent on coverage region size. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1979
- Accession Number
- ADA072086
Entities
People
- D. W. Stout
- R. G. Mulholland