本文選題：光學(xué)信息安全　切入點(diǎn)：糾纏分?jǐn)?shù)傅里葉變換　出處：《哈爾濱工業(yè)大學(xué)》2017年博士論文　論文類型：學(xué)位論文

【摘要】：光學(xué)變換是光學(xué)信息安全系統(tǒng)中不可或缺的重要工具,尤其以分?jǐn)?shù)傅里葉變換的應(yīng)用最為廣泛,傳統(tǒng)分?jǐn)?shù)傅里葉變換繼承了光學(xué)傅里葉變換在光學(xué)信息處理中的優(yōu)勢(shì),被廣泛應(yīng)用于光學(xué)信息安全等諸多研究領(lǐng)域。但基于傳統(tǒng)分?jǐn)?shù)傅里葉變換的信息安全系統(tǒng)存在諸如一鍵多解等安全隱患,因此構(gòu)建可以克服傳統(tǒng)分?jǐn)?shù)傅里葉變換內(nèi)在缺點(diǎn)的新型分?jǐn)?shù)傅里葉變換具有非常重要的意義。本文通過(guò)對(duì)傳統(tǒng)分?jǐn)?shù)傅里葉變換內(nèi)在安全缺陷的深入分析,提出了糾纏分?jǐn)?shù)傅里葉變換,研究了糾纏分?jǐn)?shù)傅里葉變換的內(nèi)在特性及安全性,并基于此變換提出了兩類滿足不同安全需求的光學(xué)圖像信息安全技術(shù),為光學(xué)信息安全的進(jìn)一步發(fā)展提供新的工具、方法和理論基礎(chǔ)。本文具體內(nèi)容如下:首先,提出了糾纏分?jǐn)?shù)傅里葉變換理論。闡明了糾纏分?jǐn)?shù)傅里葉變換具備二維信息橫縱維度關(guān)聯(lián)處理能力,使信號(hào)兩個(gè)維度之間的信息充分糅合糾纏,且變換具有不可分性、非周期性和多樣性。對(duì)糾纏分?jǐn)?shù)傅里葉變換的安全特性進(jìn)行了探討,指出該變換內(nèi)在的非周期性、不可分性和多樣性是光學(xué)圖像信息安全系統(tǒng)擴(kuò)展密鑰空間范圍和提升密鑰空間維度,從而安全性得以顯著增強(qiáng)的理論保障和技術(shù)支持。其次,文中提出了糾纏分?jǐn)?shù)傅里葉變換域雙隨機(jī)相位光學(xué)圖像加密技術(shù)和糾纏分?jǐn)?shù)傅里葉變換域加密水印技術(shù),以實(shí)現(xiàn)機(jī)密信息的兩種不同隱藏目標(biāo)。光學(xué)圖像加密系統(tǒng)通過(guò)糾纏分?jǐn)?shù)傅里葉變換作用于圖像灰度值整體分布,將圖像變換至相應(yīng)頻率域,使圖像機(jī)密信息得以隱藏。變換的不可分性、非周期性和多樣性顯著提高并擴(kuò)展了加密系統(tǒng)的密鑰空間維度和密鑰空間范圍,同時(shí)系統(tǒng)不存在關(guān)于變換階次的一鍵多解問(wèn)題,因此加密系統(tǒng)的安全性得以充分保障。數(shù)值仿真和安全性對(duì)比分析結(jié)果表明,此光學(xué)圖像加密方法使加密系統(tǒng)具有優(yōu)異的安全性和魯棒性,較傳統(tǒng)分?jǐn)?shù)傅里葉變換加密系統(tǒng)具有更大的密鑰空間和更好的圖像重建能力。文中基于糾纏分?jǐn)?shù)傅里葉變換提出了糾纏相位恢復(fù)算法,指出了糾纏分?jǐn)?shù)傅里葉變換不僅保證了糾纏相位恢復(fù)算法的收斂性,同時(shí)顯著增加了算法的自由度及安全性。利用此算法結(jié)合混沌映射建立了糾纏分?jǐn)?shù)傅里葉變換域加密水印技術(shù)。對(duì)比分析了此加密水印技術(shù)與傳統(tǒng)水印技術(shù)的差異,闡明了此水印技術(shù)通過(guò)主動(dòng)和被動(dòng)密鍵提取水印,使水印系統(tǒng)具有更大的密鑰空間,同時(shí)此水印技術(shù)具有宿主圖像零畸變特性和更高的水印加載容限,較傳統(tǒng)水印方法具有更高的安全性。計(jì)算機(jī)仿真結(jié)果證實(shí)了糾纏分?jǐn)?shù)傅里葉變換域加密水印技術(shù)的有效性和安全性。最后,文中提出了雙圖認(rèn)證的糾纏分?jǐn)?shù)傅里葉變換域圖像認(rèn)證技術(shù),開(kāi)創(chuàng)了一密雙認(rèn)證技術(shù)之先河。此技術(shù)基于糾纏分?jǐn)?shù)傅里葉變換域雙圖像加密方法、密圖部分相位信息恢復(fù)技術(shù)及非線性光學(xué)聯(lián)合變換相關(guān)器認(rèn)證技術(shù)構(gòu)建,可滿足信息認(rèn)證系統(tǒng)高安全性及低操作成本的要求。通過(guò)理論分析得出,本雙圖像認(rèn)證技術(shù)僅選取部分密圖相位信息用于解密可顯著降低系統(tǒng)存儲(chǔ)和傳輸成本,同時(shí)一密雙認(rèn)證技術(shù)顯著降低了認(rèn)證系統(tǒng)的操作時(shí)間成本和存儲(chǔ)成本,提高了認(rèn)證系統(tǒng)的工作效率和存儲(chǔ)效率。數(shù)值仿真結(jié)果驗(yàn)證了糾纏分?jǐn)?shù)傅里葉變換域雙圖認(rèn)證技術(shù)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.

【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2017
【分類號(hào)】：TP309

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