一种基于线性正则变换域功率谱的信号检测方法
Signal Detection based on the Linear Canonical Transform domain Power Spectrum

本文通过信号利用线性正则变换域功率谱，进行了参数估计和信号检测.作者首先分析了随机信号通过LCT域滤波器的统计特性，得到了输入输出随机信号的均值关系，输入、输出随机信号之间相关函数之间的关系，同时，定义了线性正则变换域功率谱，进一步研究了在线性正则变换域中，输入输出信号的相关函数与功率谱之间的关系，并且利用信号在线性正则变换域中的功率谱对单分量chirp信号进行了参数估计，理论和仿真结果均表明该方法优于基于FRFT域功率谱的参数估计方法.
The parameter estimation and signal detection is done by the linear canonical transform domain power spectrum. Authors first analyze the statistical characteristics of random signals through the LCT domain filter, and obtain some conclusion about the relationship between the input and output of random signal value, the relationship between the input and output random signal and correlation function , At the same time , power spectrum in the linear canonical transform domain were defined, study further the relationship between the correlation function and power spectrum in LCT domain, and parameter estimation for a single component chirp signal is done through the use of the relationship between the auto correlation function and power spectrum, the theory and the simulation results show that the method is better than the power spectrum estimation based on the FRFT domain