未知参数多项式相位信号的最优检测及性能

根据Neyman-Pearson (NP)准则,利用广义似然比检验方法,给出了未知参数多项式相位信号的最优检测器。在相位多项式次数分别为1或2时,周期图、chirp傅里叶变换检测即为对应的最优检测器。推导了检验统计量的概率密度函数以及虚警概率和检测概率,揭示了多项式相位信号检测中信号能量噪声比、信号参数空间中搜索点数、虚警概率和检测概率之间的关系。仿真结果验证了理论分析的有效性。

The Optimal Detection and Performance Analysis of Polynomial Phase Signal with Unknown Parameters

By applying generalized likelihood ratio test (GLRT), This paper gives the detector of polynomial phase signal (PPS) with unknown parameters. The detector is optimal in Neyman-Pearson sense. When the power of phase polynomial is one or two respectively, periodogram and chirp Fourier transform method are the corresponding optimal detection methods. The probability density function, detection probability, and false detection probability are derived. Consequently the relationship between detection probability and false detection probability, signal energy to noise ratio, and the number of searching points in the parameter space are achieved. The simulation demonstrates the validness of the analysis.