Optimal simplex beam-forms for radar target localization

In this paper we consider a discretized version of the problem of optimal beam-from design for stationary radar target localization in the presence of white Gaussian noise. We show that the finite-horizon solution to this problem is equivalent to the construction and rotation of Simplex structures in high dimensions. We present closed form solutions that are optimal in the sense of minimizing a tight upper-bound on the probability of mislocating the target. We compare our approach to the conventional exhaustive search and show its superiority.

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