高阶模糊函数的收敛性分析

Convergence Analysis of Higher-Order Ambiguity Function

本文讨论用于多项式相位信号参数估计的高阶模糊函数的收敛性质 .对于复高斯白噪声污染的时变振幅多项式相位信号 ,证明了其高阶模糊函数样本估计和相位多项式最高阶系数估计的强收敛性质 .特别地 ,对于常数振幅情形 ,得到了多项式系数估计的强收敛速度 .模拟实验证实了所得到的理论结果 .

This paper addresses the convergence property of higher order ambiguity function (HAF),which is used to estimate the parameters of polynomial phase signal (PPS).For time varying amplitude PPS in white complex Gaussian noise,the strong convergence of estimates of HAF and the highest order polynomial plase coefficient is proved.Specifically,the convergence rate of coefficient estimate is obtained in constant amplitude case.Simulations are performed to verify the theoretical results.