Natural frequency based recursive radar detection in frequency domain

We address the performance of the natural frequency based radar target detection in frequency domain. Note that the formulation in our previous paper is used the Taylor approximation to efficiently calculated the PDF of the standard normal distribution for the late time response in time domain. In this paper, we proposed the recursive detection method using decision statistic for the likelihood ratio test of the Gaussian distribution in the frequency domain. This paper is verified by comparing the detection performance of traditional analytic method and recursive analytic methods.