本文選題：真隨機(jī)序列 + 摻鉺光纖激光器��； 參考：《吉林大學(xué)》2016年博士論文

【摘要】：隨機(jī)序列分為真隨機(jī)序列和偽隨機(jī)序列。兩種序列都可以作為密碼應(yīng)用在加密領(lǐng)域,但偽隨機(jī)序列由算法產(chǎn)生,再好的算法也會使偽隨機(jī)序列具有周期性,往往不能保證密碼系統(tǒng)的安全。真隨機(jī)序列來源于真實的物理世界,能夠?qū)崿F(xiàn)真正的“一次一密”,是密碼系統(tǒng)最可靠的來源。但真隨機(jī)序列的產(chǎn)生需要物理過程的參與,相對較難,后續(xù)處理也比較復(fù)雜,所以其應(yīng)用和發(fā)展也受到了一定程度的限制。產(chǎn)生真隨機(jī)序列的方法有很多,大體上可以分為兩類,一類是不依賴于數(shù)學(xué)模型的,如:電器設(shè)備的噪聲,頻率抖動,鼠標(biāo)軌跡,單光子發(fā)射等。另一類是依賴于數(shù)學(xué)模型的,如光學(xué)系統(tǒng)產(chǎn)生的混沌。不依賴于數(shù)學(xué)模型的方法所產(chǎn)生的隨機(jī)序列往往特點并不明顯,而依賴于數(shù)學(xué)模型所產(chǎn)生的隨機(jī)序列往往具備一些特點,例如混沌或超混沌特性。而這些具備混沌或超混沌特性的序列應(yīng)用在加密系統(tǒng)往往更有優(yōu)勢。當(dāng)前,光學(xué)系統(tǒng)產(chǎn)生的混沌或超混沌序列最適宜應(yīng)用在加密領(lǐng)域。現(xiàn)有的實驗為了得到穩(wěn)定的系統(tǒng)輸出,都采用全光學(xué)器件的方法。但全光器件的成本較高,實現(xiàn)較復(fù)雜,僅僅為了得到隨機(jī)序列而采用全光系統(tǒng),會加大前期實驗的難度。所以,如果能夠既應(yīng)用光學(xué)系統(tǒng)的模型,同時又不使用光學(xué)器件產(chǎn)生真隨機(jī)序列,就成為亟待解決的課題。本文采用物理方法產(chǎn)生真隨機(jī)序列,模板為摻鉺光纖激光器的動力學(xué)系統(tǒng)。針對本文工作,提出以下幾個創(chuàng)新點:1、設(shè)計了模擬電路實現(xiàn)單環(huán)摻鉺光纖激光器真隨機(jī)序列輸出。采用電阻、電容、運算放大器等器件按照動力學(xué)方程的要求,進(jìn)行計算,最終實現(xiàn)其運算功能,為帶有延遲項的其它不可實現(xiàn)數(shù)學(xué)模型提供了設(shè)計思路。2、通過增加一個延遲項,改進(jìn)了單環(huán)摻鉺光纖激光器系統(tǒng),使系統(tǒng)更復(fù)雜,隨機(jī)性更好,不可預(yù)測性更強(qiáng),并成功輸出超混沌序列。改造后的變形系統(tǒng)由于結(jié)構(gòu)復(fù)雜,現(xiàn)階段還只能產(chǎn)生偽隨機(jī)序列。3、基于雙環(huán)摻鉺光纖激光器模型,設(shè)計了模擬電路,為高維超混沌系統(tǒng)的設(shè)計提供了思路。4、首次提出將真隨機(jī)序列同奇偶樹型機(jī)神經(jīng)網(wǎng)絡(luò)耦合產(chǎn)生供加密使用的密鑰流。并將密鑰流應(yīng)用于圖像加密,并取得較好效果。
[Abstract]:Random sequences are divided into true random sequences and pseudorandom sequences. Both sequences can be used as ciphers in the field of encryption, but pseudorandom sequences are generated by algorithms. However, even good algorithms can make pseudorandom sequences periodic, which often can not guarantee the security of cryptographic systems. The true random sequence comes from the real physical world and can realize the real "one time and one secret", which is the most reliable source of cryptosystem. However, the generation of true random sequences requires the participation of physical processes, which is relatively difficult, and the subsequent processing is more complex, so its application and development are limited to a certain extent. There are many methods for generating true random sequences, which can be divided into two categories, one is independent of mathematical models, such as noise of electrical equipment, frequency jitter, mouse trajectory, single photon emission and so on. The other is dependent on mathematical models, such as chaos generated by optical systems. The characteristics of random sequences produced by methods independent of mathematical models are not obvious, but random sequences that depend on mathematical models often have some characteristics, such as chaos or hyperchaos. These sequences with chaotic or hyperchaotic properties often have more advantages in encryption systems. At present, chaotic or hyperchaotic sequences generated by optical systems are most suitable for encryption. In order to obtain stable system output, all optical devices are used in existing experiments. However, the cost of all-optical devices is high and the implementation is more complex, so it will be more difficult to use all-optical system in order to obtain random sequences. Therefore, if we can not only use the optical system model, but also do not use optical devices to produce true random sequences, it will become an urgent task to be solved. In this paper, the true random sequence is generated by physical method, and the template is the dynamic system of erbium-doped fiber laser. Aiming at the work of this paper, this paper puts forward the following innovative points: 1, and designs an analog circuit to realize the output of true random sequence of single-ring erbium-doped fiber laser. The resistors, capacitors, operational amplifiers and other devices are used to calculate according to the requirements of the dynamic equation. Finally, the calculation function is realized, which provides the design idea for other unrealizable mathematical models with delay term. 2. By adding a delay term, The single-ring erbium-doped fiber laser system is improved to make the system more complex, more random, more unpredictable, and the hyperchaos sequence is successfully output. Because of the complicated structure, the modified deformation system can only produce pseudorandom sequence. 3. Based on the model of dual-ring erbium-doped fiber laser, the analog circuit is designed. For the design of high dimensional hyperchaotic system, a new method is proposed, which is to couple the true random sequence with the odd-even tree type computer neural network to generate the encryption key stream for encryption for the first time. The key stream is applied to image encryption, and good results are obtained.
【學(xué)位授予單位】：吉林大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2016
【分類號】：TN918.4;TN249

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