脉冲噪声环境下一种韧性的时延与 多普勒频移联合估计法

由于α稳定分布噪声会降低基于二阶循环统计量的传统方法的性能,本文基于分数低阶统计量理论提出p阶循环相关的概念并给出相应性质及证明,在此基础上对已有的循环模糊函数进行了广义化.计算机仿真表明,这种广义的循环模糊函数能够在高斯和α稳定分布噪声条件下有效地联合估计时延和多普勒频移,其性能不仅优于基于二阶循环相关的CCA(循环模糊函数)法,也优于FLOAF(分数低阶模糊函数)法,是韧性的、具有更广泛应用意义的方法.

A Robust Joint Estimation of Time Delay and Doppler Shift in Stable Distributed Noise Environment

Cyclostationarity is an important statistical property of many signals,which has just been considered so far under Gaussian noise.In this paper,the degradation of the cyclic property is evaluated in the presence of stable distributed noises.A novel definition of the pth order cyclic correlation is proposed and the cyclic ambiguity function referred to as PCCA(pth order Cyclic Cross-Ambiguity) is developed.Simulation results demonstrate the efficiency of the proposed method in the joint estimation of time delay and Doppler shift understable and Gaussian noise condition.It is a more robust and significant method and its performance is super to CCA(Cyclic Cross-Ambiguity) and FLOAF(Fractional Lower Order Ambiguity Function).