非理想信道下的传感器网络一比特最大似然算法

doi:10.11959/j.issn.1000-0801.2020041

电信科学 ›› 2020, Vol. 36 ›› Issue (3): 53-60.doi: 10.11959/j.issn.1000-0801.2020041

非理想信道下的传感器网络一比特最大似然算法

王娜娜,刘兆霆,姚英彪

杭州电子科技大学通信工程学院，浙江杭州 310018

修回日期:2020-02-10 出版日期:2020-03-20 发布日期:2020-03-26
作者简介:王娜娜（1995- ），女，杭州电子科技大学通信工程学院硕士生，主要研究方向为分布式自适应信号处理|刘兆霆（1975- ），男，博士，杭州电子科技大学通信工程学院副教授、硕士生导师，主要研究方向为传感器网络信号处理、自适应信号处理、机器学习|姚英彪（1976- ），男，博士，杭州电子科技大学通信工程学院教授、硕士生导师，主要研究方向为媒体信号处理、无线传感器网络、固态存储
基金资助:
国家自然科学基金资助项目(61671192);浙江省自然科学基金资助项目(LY16F010012)

One-bit maximum likelihood algorithm for sensor networks in non-ideal channels

Nana WANG,Zhaoting LIU,Yingbiao YAO

School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China

Revised:2020-02-10 Online:2020-03-20 Published:2020-03-26
Supported by:
The National Natural Science Foundation of China(61671192);Zhejiang Provincial Natural Science Foundation of China(LY16F010012)

摘要/Abstract

摘要：

无线传感器网络通常由分布在一定空间范围内的无线传感器节点构成。一般情况下，节点的能量存储、计算和通信能力都极为有限。直接传输各个节点的采样信号到融合中心将导致较多的能量消耗与较大的网络通信负载。若将每个传感器节点的采样信号值压缩为一比特测量值后再传输，则可以在很大程度上降低能量消耗和减轻通信负载。研究了在乘性噪声环境下，基于传感器网络一比特测量的参数估计问题。考虑节点和融合中心之间是存在干扰的非理想二值信道，提出了基于最大似然的参数估计算法，分析了参数估计的克拉美罗下界，并通过一系列仿真实验，验证了算法的有效性。

关键词: 传感器网络, 非理想信道, 参数估计, 一比特量化, 最大似然算法

Abstract:

Wireless sensor networks typically consist of wireless sensor nodes that are distributed in a certain spatial range.In general,the energy storage,computing and communication capabilities of nodes are extremely limited.Direct transmission of the sampled signals of the various nodes to the fusion center will result in more energy consumption and greater network communication load.If the sampled signal value of each sensor node is compressed into a one-bit measurement value and then transmitted,the energy consumption and the communication load can be greatly reduced.The parameter estimation problem based on one-bit measurement of sensor networks in multiplicative noise environment was studied.Considering the non-ideal binary channel with interference between the node and the fusion center,a parameter estimation algorithm based on maximum likelihood was proposed,Cramér-Rao lower bound of the parameter estimation was analyzed,and the effectiveness of the algorithm was verified through a series of simulation experiments.

Key words: sensor network, non-ideal channel, parameter estimation, one-bit quantization

中图分类号:

TP393

王娜娜,刘兆霆,姚英彪. 非理想信道下的传感器网络一比特最大似然算法[J]. 电信科学, 2020, 36(3): 53-60.

Nana WANG,Zhaoting LIU,Yingbiao YAO. One-bit maximum likelihood algorithm for sensor networks in non-ideal channels[J]. Telecommunications Science, 2020, 36(3): 53-60.

图/表 7

图1

表1

最大似然估计 θ ^ ML 与阈值τ的关系（θ∈(-Δ,Δ)）"

τ			${\hat{ω}}_{ML}$
τ	(-∞,-1/σ_e)	(±1/σ_e)	(-1/σ_e,1/σ_e)	(1/σ_e,∞)
τ<0	×	θ₄	θ₂	θ₂
τ= 0	×	×	θ₃	×
τ 0>	θ₁	θ₄	θ₁	×

表1

图2

图3

图4

图5

图6

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非理想信道下的传感器网络一比特最大似然算法

One-bit maximum likelihood algorithm for sensor networks in non-ideal channels

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