Numerically Efficient Determination of the Optimal Threshold in Natural Frequency-Based Radar Target Recognition

Abstract

In this communication, we address a numerical method to efficiently calculate a non-zero optimal threshold value for the performance improvement of a natural frequency-based radar target recognition. From the probability of correct classification with respect to a varying threshold value, we define a function, denoted by in this communication, so that one of the roots of corresponds to the optimal threshold. The final optimal threshold value is obtained via the Newton iteration. The scheme is validated by comparing the threshold obtained from the Newton iteration with that using the probability density function.

Natural frequency-based recursive LRT detection using the Lagrange polynomial

“…[1][2][3][4][5][6][7][8][9] The detection scheme based on the fact that a late time response of a radar target can be written in terms of the natural frequencies has been proposed. [8] Recently, a recursive implementation of the detection scheme has also been presented, [9] where Lee and Jeong proposed to adopt a Taylor series expansion of the probability density function (PDF) of the normal distribution.…”