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浙江大学学报(工学版)  2026, Vol. 60 Issue (5): 1109-1118    DOI: 10.3785/j.issn.1008-973X.2026.05.020
计算机技术、控制工程     
云环境中多地图室内定位隐私保护方案
厉天宸(),付泽豪,姚恒,乐燕芬*()
上海理工大学 光电信息与计算机工程学院,上海 200093
Privacy-preserving scheme for multi-map indoor localization in cloud environments
Tianchen LI(),Zehao FU,Heng YAO,Yanfen LE*()
School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
 全文: PDF(1572 KB)   HTML
摘要:

为了在多地图场景中保护定位数据隐私,提出适用于云环境的多地图室内定位隐私保护方案. 设计包含各地图独特指纹特性的布隆过滤器,基于内积计算实现对用户的快速地图级定位. 融合改进的索伦森距离匹配的k最近邻算法(KNN)和Paillier同态加密,实现用户在密文域的精确定位. 提出指纹信号重构方法,通过对指纹特征进行置乱,破坏原始信号结构以抵御推理攻击,进一步保障用户隐私与服务器数据机密性. 在真实数据集上的实验结果表明,所提方案在保证较低计算与通信开销的同时,兼具良好的定位精度和实时性. 安全分析表明,所提方案能够保障用户的位置隐私,可防止服务器数据发生潜在泄露.

关键词: 指纹定位云环境隐私保护Paillier加密布隆过滤器    
Abstract:

A privacy-preserving scheme for indoor localization was proposed to tackle the challenge of securing user location information in cloud-based multi-map environments. Bloom filters were employed to encode the distinctive fingerprint features of each map, thereby enabling fast and efficient map-level localization through inner product computations. For fine-grained localization in the ciphertext domain, an improved k-nearest neighbors algorithm (KNN) based on the modified Sorensen distance was integrated with Paillier homomorphic encryption. To further protect fingerprint data and resist inference attacks, a fingerprint reconstruction mechanism was introduced that permuted the fingerprint information during localization queries, breaking the arrangement rules of the original signals, thereby ensuring enhanced protection of both user privacy and server-side data confidentiality. Experimental evaluation on real-world datasets demonstrated that the proposed method consistently maintained high localization accuracy and low latency while keeping computational and communication overhead at a practical level. Security analysis confirmed that user location privacy was preserved throughout the entire process and that server-side data remained well protected against potential leakage.

Key words: fingerprint localization    cloud environment    privacy preservation    Paillier encryption    Bloom filter
收稿日期: 2025-05-27 出版日期: 2026-05-06
CLC:  TP309  
基金资助: 国家重点研发计划项目(2024YFF0619904);国家自然科学基金资助项目(62172281).
通讯作者: 乐燕芬     E-mail: 232250456@st.usst.edu.cn;leyanfen@usst.edu.cn
作者简介: 厉天宸(2000—),男,硕士生. 从事室内定位、信息安全研究. orcid.org/0009-0006-7124-6253. E-mail:232250456@st.usst.edu.cn
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引用本文:

厉天宸,付泽豪,姚恒,乐燕芬. 云环境中多地图室内定位隐私保护方案[J]. 浙江大学学报(工学版), 2026, 60(5): 1109-1118.

Tianchen LI,Zehao FU,Heng YAO,Yanfen LE. Privacy-preserving scheme for multi-map indoor localization in cloud environments. Journal of ZheJiang University (Engineering Science), 2026, 60(5): 1109-1118.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.05.020        https://www.zjujournals.com/eng/CN/Y2026/V60/I5/1109

图 1  多地图室内定位方案架构
图 2  多地图粗定位
图 3  布隆过滤器的构建
图 4  布隆过滤器匹配过程
图 5  密文域精确定位
方案用户计算开销LSP计算开销CSP计算开销通信开销/bits
本研究(L+N) ? Exp + 2(L+N) ? MulNm ? Exp+Nm ? Mul(N+L) Le
文献[13]kM ? Exp + 2kM ? Mul3kMN ? MulkMN ? Exp[Nk(M+1)+Mk] Le
文献[15]4M ? Exp + 8M ? MulrN ? Exp+N (M+3) ? MulN ? Exp+MulNTLe +G
表 1  隐私保护方案在线阶段的理论计算与通信开销
方案用户计算开销/sLSP计算开销/sCSP计算开销/s总计算开销/s通信开销/bits
加密解密
本研究0.050.752.823.62521×1 024
文献[9]0.320.759.0410.11543×1 024
文献[13]0.8232.11110.61143.5484 475×1 024
表 2  隐私保护方案在线阶段的平均计算与通信开销
图 6  不同距离匹配方法定位误差随最近邻个数的变化
图 7  不同距离匹配方法的定位误差 (K = 4)
图 8  地图布隆过滤器长度与哈希函数个数对粗定位的影响
图 9  重构指纹长度对定位误差的影响
图 10  定位误差受干扰信号个数的影响
地图编号ε/m
θ = 0θ = 3θ = 8
12.923.243.89
23.483.904.51
34.394.885.30
表 3  各地图中加入干扰信号后测试点的定位误差
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