无线传感器网络时间同步误差分析

摘要

Aiming at analyzing the influential factors of WSNTS errors and revealing the distribution laws, this paper estab-lished the mathematical model of WSNTS errors, and pointed out that the one-hop WSNTS errors also met normal distribution under the condition of considering all the time delays, and also gave the random process model of the multiple hops for the maximum errors of WSNTS and its expectation, variance and the upper and lower limit through analyzing the TPSN algorithm based on two-way message switching mechanism. Theoretical proof and simulation experiments show the correctness of these re-sults. It provides a theoretical basis for the design and analysis of WSNTS mechanisms.%分析无线传感器网络时间同步(WSNTS)误差,旨在研究影响WSNTS误差的因素,给出WSNTS误差的分布规律.通过研究基于TPSN同步协议的双向报文交换机制,建立了WSNTS误差的数学模型,指出在考虑所有时延的情况下,单跳WSNTS误差仍服从正态分布的规律,同时还给出了多跳WSNTS最大误差的随机过程模型及其期望、方差和上、下限.理论证明和仿真实验表明了结果的正确性,也为无线传感器网络时间同步机制的设计与分析提供了一定的理论依据.