自动化学报2023，Vol.49Issue(12)：2557-2568,12.DOI:10.16383/j.aas.c200614
动态水印攻击检测方法的鲁棒性研究
Robustness of Dynamic-Watermarking Attack-detection Method
摘要
Abstract
The traditional dynamic-watermarking(DWM)cyber-attack detection cannot directly apply to uncertain systems.In this paper,we first analyze this failure due to model uncertainty.Secondly,based on the statistics of model uncertainty and process noise,we derive two robust attack-detection formulas,and the method of determining the critical time-varying-variance threshold in the formulas.Then,the system performance loss caused by the at-tack signal,and the upper limit of the distortion signal power are quantified.Furthermore,in the worst case,to avoid that an attack can pass-through the above two-formula detection,the third detection formula is derived.In addi-tion,the upper limit of the distorted signal power of the system is also derived.This is based on the mutual indepen-dence of the watermark signal and other mixed signals.Thus,the three-formula detection strengthens the security of the system with model uncertainty.Finally,we use a simulation example to demonstrate our theoretical results.关键词
动态水印/模型不确定/失真信号功率/攻击检测Key words
Dynamic-watermarking(DWM)/model uncertainty/distorted signal power/attack detection引用本文复制引用
杜大军,张竞帆,张长达,费敏锐,YANG Tai-Cheng..动态水印攻击检测方法的鲁棒性研究[J].自动化学报,2023,49(12):2557-2568,12.基金项目
国家自然科学基金(61773253,61803252,61633016,61833011),111引智基地项目(D18003),上海市科委项目(20JC1414000,19500712300,19510750300)资助Supported by National Natural Science Foundation of China(61773253,61803252,61633016,61833011),111 Project(D18003),and Project of Science and Technology Commission of Shanghai Municipality(20JC1414000,19500712300,19510750300) （61773253,61803252,61633016,61833011）
