Parameter estimation of Nakagami-Gamma shadow fading model based on minimum KL divergence

doi:10.19682/j.cnki.1005-8885.2024.0014

中国邮电高校学报(英文) ›› 2024, Vol. 31 ›› Issue (5): 42-48.doi: 10.19682/j.cnki.1005-8885.2024.0014

Parameter estimation of Nakagami-Gamma shadow fading model based on minimum KL divergence

谢文武¹,周佳琛¹,熊鸣²,欧阳竟成²,余超¹

1. 湖南理工学院
2. 湖南省岳阳市湖南理工学院信息科学与工程

收稿日期:2023-03-01 修回日期:2024-01-02 出版日期:2024-10-31 发布日期:2024-10-31
通讯作者: 余超 E-mail:ycyuchao_001@hotmail.com
基金资助:
湖南省教育厅重点项目“面向6G服务的AI赋能RIS通信系统性能与安全的研究;四川省重点实验室开放基金项目“RIS辅助的无人机系统物理层安全研究与传输性能优化

Parameter estimation of Nakagami-Gamma shadow fading model based on minimum KL divergence

Received:2023-03-01 Revised:2024-01-02 Online:2024-10-31 Published:2024-10-31

摘要/Abstract

摘要：

The Nakagami-Gamma ( NG) shadow fading model based on the moment-based method ( MoM) generates lower tail approximation, which is inaccuracy when the gamma random variables are replaced by the lognormal random variables. The channel parameters of composite NG shadow fading based on the method of minimizing the Kullback- Leibler ( KL) divergence were estimated and a closed-form expression for the system bit error rate ( BER) was derived in this paper. The simulation results show that the KL estimated parameters solve the lower tail approximation problem, and the replacement effect of the lognormal function by the gamma function is better than the MoM when the shading parameters are around the typical value of 4 dB - 9 dB. Moreover, the KL method has a lower mean square error ( MSE) value for the channel analysis.

关键词:

moment-based method ( MoM), shadow fading channel, Nakagami-Gamma ( NG), Kullback-Leibler ( KL)

Abstract: The Nakagami-Gamma ( NG) shadow fading model based on the moment-based method ( MoM) generates lower tail approximation, which is inaccuracy when the gamma random variables are replaced by the lognormal random variables. The channel parameters of composite NG shadow fading based on the method of minimizing the Kullback- Leibler ( KL) divergence were estimated and a closed-form expression for the system bit error rate ( BER) was derived in this paper. The simulation results show that the KL estimated parameters solve the lower tail approximation problem, and the replacement effect of the lognormal function by the gamma function is better than the MoM when the shading parameters are around the typical value of 4 dB - 9 dB. Moreover, the KL method has a lower mean square error ( MSE) value for the channel analysis.

Key words:

moment-based method ( MoM), shadow fading channel, Nakagami-Gamma ( NG), Kullback-Leibler ( KL)

参考文献

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Parameter estimation of Nakagami-Gamma shadow fading model based on minimum KL divergence

Parameter estimation of Nakagami-Gamma shadow fading model based on minimum KL divergence

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