Nakagami-m衰落m参数估计器的偏差补偿  

On Biases Compensation of Estimators of Nakagami-m Fading Parameter

作　　者：黄庆松[1] 耿国桐[1] 吴伟陵[1] 

机构地区：[1]北京邮电大学信息工程学院,北京100876

出　　处：《北京邮电大学学报》2005年第3期39-42,共4页Journal of Beijing University of Posts and Telecommunications

基　　金：国家自然科学基金项目(60272052)

摘　　要：使用蒙特卡罗方法研究Nakagamim参数估计器在小样本估计时的偏差补偿问题.小样本数下,m参数估计器是有偏估计,其偏差是m的线性函数,斜率由用于估计的样本数决定.仿真结果表明,所给出的基于线性拟合的偏差补偿公式能够很好地补偿偏差.We compensate the biases of the proposed estimators which estimate the m-parameter in Nakagami-m fading since they all are not unbiased. We study the performances of these m estimators, with emphasis on the biases and the biases compensation of the estimators based on (generalized) linear model. We explore numerical linear fitting method to get experimental formula for each. According to our analysis and numerical results using Monte Carlo simulation, the bias is a linear function of m-parameter and the number of i.i.d samples used in the estimator whenever the estimator is moment-based or maximum-likelihood-based. Numerical results are presented to demonstrate that the linear compensating formulas work well for all the estimators. In real mobile environment, the fading channel may be time-variant or m-parameter should be estimated in time, which makes the i.i.d samples used in the estimation of m can't be very large. In this situation, the compensated versions of m estimators will be useful.

关 键 词：Nakagami-m分布 m参数估计 矩估计 极大似然估计 偏差补偿 

分 类 号：TN914.3[电子电信—通信与信息系统]