Natural frequency-based recursive LRT detection using the Lagrange polynomial

Abstract

We consider the performance analysis of the natural frequency-based radar target detection. By making the Lagrange polynomial approximation of the standard normal distribution, the probability of detection for an augmented input vector can be recursively calculated. We present the bound of the error due to the Lagrange polynomial approximation, and it is illustrated that the actual error is within the derived error bound. We also present how to determine the optimal first-order Lagrange polynomial.

Acknowledgements

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2013R1A1A2A10012245). This work has been also supported by the “Sensor Target Recognition Laboratory (STRL)” program of Defense Acquisition Program Administration and Agency for Defense Development.