A triangulation method for passive ranging
Pieper, Ron J.
Cooper, Alfred W.
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ABSTRACT A method for passive ranging based on the principle of triangulation is considered In the basic triangulation scheme that is a single baseline model the precision in the bearing readings can be related to the precision in the range estimation. For some target orienta- tions the precision in the triangulated target range is completely lost This phenomenon i'i known as "geometric dilution." A proposed orthogonal dual baseline scheme eliminates the "geometric dilution" effect The performance of each of the two orthogonal baselines depends on target orientation. For specific target orientations the triangulation range mea- surements for the two baselines are equivalent The dual baseline scheme would require "smart electronics" which would switch between baselines at crossover points in the range estimation precision. It is shown that the crossover points depend primarily on the ratio of the two baselines. A general expression for the maximum triangulation range consistent with limitations in minimum tolerance precision in range estimation is derived. The depen- dency between maximum range and target orientation are presented in polar form. Limitations in the dual baseline model due to physical limitation created by the optical horizon are also considered.
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