针对二维搜索方法实现基于分数阶傅里叶变换(FrFT)的线性调频信号(LFM)参数估计中存在的峰值估计偏差问题,提出可利用移动最小二乘(MLS)技术来拟合FrFT模函数峰值检测向量的方法以提高参数估计性能.该算法将复杂的二维搜索问题简化至一维曲线拟合来进行处理.理论分析与仿真结果表明,该方法在保留分数阶域处理优点的同时,可明显减少运算量,并达到较高估计精度,为基于FrFT的LFM信号实时检测提供了可能.
To solve the problem of peak deviation estimate in the parameter estimation of Linear Frequency Modulated(LFM) signal based on the Fractional Fourier Transform(FrFT) with the method of two-dimensional searchr,an algorithm is proposed to approximate the projection of discrete FrFT modular detector with various orders by using moving least-squares(MLS) curve fitting method and precisely estimate the value of curve peak.Using this method,the complex two-dimensional peak searching can be simplified to a problem of one-dimensional curve fitting.Theoretical analysis and simulation results show that it can retain the high estimation accuracy and also greatly reduce the computational complexity at the same time.Moreover,it is verified that it is possible to make real-time detection for the LFM signal based on FrFT.