复非零均值乘性和复加性噪声中复谐波的循环估计量性能分析

Performance analysis of cyclic estimators for harmonics in complox nonzero mean multiplicative and additive noises

从通信和探测系统需要的频率估计出发,文中研究了复值乘性与复值加性随机噪声中复谐波的恢复问题,表明循环均值可用在有色的且具有任意分布的复值乘性与复值加性随机噪声中进行谐波的恢复.对于非零均值乘性噪声情形分析了循环估计量的性能,证明了循环估计量与一定意义下的最小二乘估计量渐近等价,并给出了循环估计量的大样本方差表达式.模拟结果验证了大样本的性能分析.

The concern here is the retrieval of harmonics observed in complex-valued multiplicative and complex-valued additive noise,Cyclic mean statistics have proved to be useful for harmonic retrieval in the presence of complex-valued multiplicative and complex-valued additive noise of arbitrary color and distribution.Performance analysis of cyclic estimators is carried through for nonzero mean multiplicative noises.Cyclic estimators are shown to be asymptotically equivalent to certain nonlinear least square estimators,and large sample variance expressions of the cyclic estimators are derived. Simulations validate the large sample performance analysis.