Measurement data processing for adjustment of multiposition observation system

• Grinyak V.M.

  Vladivostok State University of Economics and Service
  Vladivostok. Russia

Current paper is about problem observation system based on two dimensional radar. The paper discusses the formulation of the problem of multiposition observation system adjustment (global and local coordinate binding). This system is used for marine and air target observation. Three types of systems have been identified: a radar chain (several radar stations that transmit the serviced objects in sequence from one station to another), centralized (several radars connected to the network, information from which flows into a single traffic control center) and a transponder (a centralized system that can additionally use the data of the Automatic Identification System AIS). Model representations of the exhibition problem based on finite-dimensional representations of the method of least squares are formulated. Because of the initial nonlinearity of the problem, it is proposed to linearize it about some support solution that characterizes the a priori notions of the state of the observation system. Attention is paid to the problem of solvability of the problem from the point of view of three interrelated concepts: fundamental solvability (observability), solvability in conditions of instrumental measurement errors and solvability under conditions of finite accuracy of computation on a computer. The first aspect of solvability is interpreted by the completeness of the rank of the corresponding system of linear algebraic equations, the second by the conditionality of the problem and the convergence of the iterative estimation procedure; For the latter, a condition of sufficient type that takes into account the relative accuracy of the representation of real numbers in a computer is formulated. The results of numerical simulation of the problem for typical situations are presented, the solvability of the problem is demonstrated for both the two- and the three-coordinate case. It is shown that achievable exhibition accuracy is sufficient for a high-quality solution of both 2D and 3D navigation problems.

Keywords: traffic control, air target, multiposition system, radar, adjustment, measurement, target height.