纠缠分数傅里叶变换及其在光学信息安全中的应用

发布时间：2018-03-18 16:50

  本文选题：光学信息安全　切入点：纠缠分数傅里叶变换　出处：《哈尔滨工业大学》2017年博士论文　论文类型：学位论文

【摘要】：光学变换是光学信息安全系统中不可或缺的重要工具,尤其以分数傅里叶变换的应用最为广泛,传统分数傅里叶变换继承了光学傅里叶变换在光学信息处理中的优势,被广泛应用于光学信息安全等诸多研究领域。但基于传统分数傅里叶变换的信息安全系统存在诸如一键多解等安全隐患,因此构建可以克服传统分数傅里叶变换内在缺点的新型分数傅里叶变换具有非常重要的意义。本文通过对传统分数傅里叶变换内在安全缺陷的深入分析,提出了纠缠分数傅里叶变换,研究了纠缠分数傅里叶变换的内在特性及安全性,并基于此变换提出了两类满足不同安全需求的光学图像信息安全技术,为光学信息安全的进一步发展提供新的工具、方法和理论基础。本文具体内容如下:首先,提出了纠缠分数傅里叶变换理论。阐明了纠缠分数傅里叶变换具备二维信息横纵维度关联处理能力,使信号两个维度之间的信息充分糅合纠缠,且变换具有不可分性、非周期性和多样性。对纠缠分数傅里叶变换的安全特性进行了探讨,指出该变换内在的非周期性、不可分性和多样性是光学图像信息安全系统扩展密钥空间范围和提升密钥空间维度,从而安全性得以显著增强的理论保障和技术支持。其次,文中提出了纠缠分数傅里叶变换域双随机相位光学图像加密技术和纠缠分数傅里叶变换域加密水印技术,以实现机密信息的两种不同隐藏目标。光学图像加密系统通过纠缠分数傅里叶变换作用于图像灰度值整体分布,将图像变换至相应频率域,使图像机密信息得以隐藏。变换的不可分性、非周期性和多样性显著提高并扩展了加密系统的密钥空间维度和密钥空间范围,同时系统不存在关于变换阶次的一键多解问题,因此加密系统的安全性得以充分保障。数值仿真和安全性对比分析结果表明,此光学图像加密方法使加密系统具有优异的安全性和鲁棒性,较传统分数傅里叶变换加密系统具有更大的密钥空间和更好的图像重建能力。文中基于纠缠分数傅里叶变换提出了纠缠相位恢复算法,指出了纠缠分数傅里叶变换不仅保证了纠缠相位恢复算法的收敛性,同时显著增加了算法的自由度及安全性。利用此算法结合混沌映射建立了纠缠分数傅里叶变换域加密水印技术。对比分析了此加密水印技术与传统水印技术的差异,阐明了此水印技术通过主动和被动密键提取水印,使水印系统具有更大的密钥空间,同时此水印技术具有宿主图像零畸变特性和更高的水印加载容限,较传统水印方法具有更高的安全性。计算机仿真结果证实了纠缠分数傅里叶变换域加密水印技术的有效性和安全性。最后,文中提出了双图认证的纠缠分数傅里叶变换域图像认证技术,开创了一密双认证技术之先河。此技术基于纠缠分数傅里叶变换域双图像加密方法、密图部分相位信息恢复技术及非线性光学联合变换相关器认证技术构建,可满足信息认证系统高安全性及低操作成本的要求。通过理论分析得出,本双图像认证技术仅选取部分密图相位信息用于解密可显著降低系统存储和传输成本,同时一密双认证技术显著降低了认证系统的操作时间成本和存储成本,提高了认证系统的工作效率和存储效率。数值仿真结果验证了纠缠分数傅里叶变换域双图认证技术的有效性和安全性。
[Abstract]:Optical transform is an indispensable tool of optical information security system, especially the application of fractional Fu Liye transform is the most widely used, the traditional fractional Fu Liye transform inherits the advantages of the optical Fu Liye transform in optical information processing, has been widely used in many research fields of optical information security. But the existence of such a solution and other security risks of information security the traditional system based on fractional Fu Liye transform, so the construction of a new fractional Fu Liye transform can overcome the inherent shortcomings of the traditional fractional Fu Liye transform has very important significance. This paper analyzes traditional fractional Fu Liye transform inherent security flaws, the entanglement of fractional Fu Liye transform, the intrinsic characteristics and safety of entangled fractional Fu Liye transform, and based on the proposed two kinds of optical image information meet different security requirements. The technology provides a new tool for the further development of optical information security, methods and theoretical basis. The main contents of the paper are as follows: firstly, the entangled fractional Fourier transform theory. The entanglement of fractional Fourier transform with two-dimensional information of horizontal and vertical correlation dimension of processing capacity, between the two dimensions of signal information to fully blend entanglement. And transform are inseparable, non periodicity and diversity. The security properties of the entangled fractional Fourier transform are discussed, pointed out that the non periodic transformation inherent, indivisibility and diversity is the optical image information security system to expand the key space and enhance the key space dimension, and security to support the theory and technical support enhanced. Secondly, proposed entangled fractional Fourier transform domain double random phase optical image encryption technology and entangled fractional Fourier variable Change domain encryption watermark technology, to achieve two different hidden targets of confidential information. Optical image encryption system based on entanglement of fractional Fourier transform for the image gray value distribution as a whole, transforming the image corresponding to the frequency domain, the image of confidential information to be hidden. Transform the indivisibility, non periodicity and diversity significantly improved and extended the key space and key dimension space encryption system, the system does not exist on multiple solutions of transform order one, so the security of the encryption system can be fully guaranteed. Numerical simulation and safety analysis results show that the optical image encryption method makes the encryption system has excellent robustness and security of the image. The reconstruction ability than the traditional fractional Fourier transform encryption system has a larger key space and better. The entanglement is proposed based on fractional Fourier transform Entanglement recovery algorithm phase, points out the entangled fractional Fu Liye transform not only to ensure the convergence of the algorithm and the entanglement recovery phase, significantly increased the degree of freedom and the security of the algorithm. Using this algorithm, with the chaotic mapping established entangled fractional Fu Liye transform domain encryption watermark technology. Compare the encrypted watermark technology and traditional watermarking technology this illustrates the watermarking technology, through the active and passive secret keys to extract the watermark, the watermark system has a larger key space, and the host image watermarking technology has zero distortion and higher embedding capacity, compared with the traditional watermarking method has higher security. Computer simulation results confirm the effectiveness and safety encryption watermark entangled fractional Fu Liye transform domain. Finally, the proposed dual graph authentication entangled fractional Fu Liye transform domain image authentication technology , creating a dense double authentication technology of its kind. This technique entangled fractional Fourier transform domain double image encryption method based on density map and nonlinear optical joint transform correlator authentication technology to construct partial phase information recovery, can meet the needs of information security authentication system of high cost and low operating requirements. Through theoretical analysis, the double image authentication only select the part density map of phase information for decryption can significantly reduce the cost of storage and transmission system, and a dense double authentication technology significantly reduces authentication system operation time cost and storage cost, improve the certification system's efficiency and storage efficiency. Numerical simulation results verify the effectiveness and safety of the entangled fractional Fourier double graph transform domain authentication technology.

【学位授予单位】：哈尔滨工业大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：TP309

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