窃听信道下基于双分簇技术的信源安全有损传输

doi:10.12263/DZXB.20200932

电子学报 ›› 2022, Vol. 50 ›› Issue (9): 2196-2204.DOI: 10.12263/DZXB.20200932

窃听信道下基于双分簇技术的信源安全有损传输

徐明, 胡沐宇

上海海事大学信息工程学院，上海 201306

收稿日期:2020-08-24 修回日期:2021-12-29 出版日期:2022-09-25
- 作者简介:
- 徐明　男，1977年出生，安徽省马鞍山人. 现为上海海事大学信息工程学院副教授，主要研究方向为网络与信息安全.E-mail: mingxu@shmtu.edu.cn
  胡沐宇　女，1995年出生，江苏南通人. 现为上海海事大学信息工程学院硕士研究生，主要研究方向为网络与信息安全.E-mail: muyu.hu@foxmail.com
- 基金资助:
- 国家自然科学基金 (62172269)

Secure Lossy Source Transmission over Wiretap Channel Based on Double Binning Technique

XU Ming, HU Mu-yu

College of Information Engineering，Shanghai Maritime University，Shanghai 201306，China

Received:2020-08-24 Revised:2021-12-29 Online:2022-09-25 Published:2022-10-26

摘要/Abstract

摘要：

针对图像、视频等文件在压缩传输时的可靠性和安全性问题，提出一种具有边信息和状态信息的窃听信道模型以及该模型下基于双分簇技术的信源安全有损传输方案，并利用信息理论对速率-失真-信息泄露率三元组进行可达性和逆命题证明．考虑到现实环境中的噪声因素，以高斯噪声信道为例进行具体分析，通过误差估计和微分熵定理推导出速率和失真的下界．此外，引入模糊率，将信息泄漏率转化为估计信源的最小均方误差，得出此误差的上界．仿真实验表明，所提方案在最优条件下比现有方案速率高，失真和信息泄露率小，在非最优条件下比现有方案模糊率高．

关键词: 窃听信道, 双分簇技术, 安全有损传输, 边信息, 状态信息, 信息泄漏

Abstract:

Aiming at the reliability and security problem of transmitting compressed images, videos and other files, a wiretap channel model with side information and state information and a secure lossy source transmission scheme based on double binning technique under this model are proposed. Moreover, the achievability and the converse of the triple rate-distortion-leakage are proved by the information theory. Considering the noise factors in the real environment, the Gaussian noise channel under this model is analyzed concretely as an example and the lower bounds of the rate and the distortion are derived based on the error estimation and the differential entropy theorem. In addition, the equivocation rate is introduced to transform the information leakage rate into the minimum mean square error of the estimated source and its upper bound is obtained. The simulation results show that the proposed scheme has higher rate and lower distortion and information leakage rate than the existing schemes under the optimal conditions, and has higher equivocation rate than the existing schemes under the non-optimal conditions.

Key words: wiretap channel, double binning technique, secure lossy transmission, side information, state information, information leakage

中图分类号:

TP309

徐明, 胡沐宇. 窃听信道下基于双分簇技术的信源安全有损传输[J]. 电子学报, 2022, 50(9): 2196-2204.

XU Ming, HU Mu-yu. Secure Lossy Source Transmission over Wiretap Channel Based on Double Binning Technique[J]. Acta Electronica Sinica, 2022, 50(9): 2196-2204.

图/表 11

图1 高斯噪声窃听信道的安全有损传输

图2 随机变量之间的相互关系

表1 不同噪声功率条件下划分的4种情况

	$P b < P e$	$P b > P e$
$P y < P z$	情况1	情况2
$P y > P z$	情况3	情况4

表1 不同噪声功率条件下划分的4种情况

	$P b < P e$	$P b > P e$
$P y < P z$	情况1	情况2
$P y > P z$	情况3	情况4

图3 情况1:传输信道噪声小且边信息噪声小

图4 情况2:传输信道噪声小但边信息噪声大

图5 情况3:传输信道噪声大但边信息噪声小

图6 情况4:传输信道噪声大且边信息噪声大

图7 情况1下的模糊率

图8 情况2下的模糊率

图9 情况3下的模糊率

图10 情况4下的模糊率

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窃听信道下基于双分簇技术的信源安全有损传输

Secure Lossy Source Transmission over Wiretap Channel Based on Double Binning Technique

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