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Secure Compressive Sensing with Hyper-Chaos: A Simultaneous Encryption and Sampling Framework

delete2026-02-17
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PRE
AI
J
Jiyuan Li
J
Jianwu Dang *
N
Na Jiang
Y
Yang, Jingyu
DOI:10.3390/math14040709delete
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摘要

摘要

En 中文
安全压缩感知(SCS)主要受益于具有有限计算资源的物联网场景、航天和医学等领域。近年来,对SCS的研究引起了广泛关注。然而,现有关于CS嵌入安全性的工作通常需要将额外的加密流程应用于测量向量。在本文中,我们提出了一种由超混沌系统增强的SCS方案,其性能优于现有最先进方法,并赋予SCS极高的固有安全性。在我们的方案中,加密和采样处理同时完成,即通过由初值(密钥)驱动的离散超混沌(HC)系统生成的测量矩阵实现采样时的安全性。此外,HC矩阵的应用降低了与基于传统CS的加密方法相比的密钥流传输的计计算和带宽消耗成本。实验表明,基于HC的矩阵表现出优异的重建性能,在采样比为0.5时,在Set5数据集上实现了平均SSIM为0.91和PSNR为29.09 dB,优于伯努利和哈达玛等传统矩阵。安全性分析证实,系统具有渐近球形保密性和高密钥敏感性——初始值偏差为10^-16会导致完全解密失败。此外,该方案对加性高斯白噪声和裁剪攻击表现出强鲁棒性,即使在50%裁剪下仍能保持高于15 dB的PSNR。与现有方法相比,所提出的方法通过仅传输HC初始参数而非整个测量矩阵来降低带宽消耗。这些结果表明,由HC驱动的SCS框架提供了固有安全性、高重建保真度和实用效率,使其适用于受限环境中的安全感知。
Keyword:
compressive sensing
hyper-chaotic system
inherent security
secret key sensitivity
37-xx

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Mathematics 封面图
Mathematics
IF:
2.2
论文数:
3.1K
被引数:
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lanzhou jiaotong university
学者数:
2.6K
论文数: 802
被引数: 0
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