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新型憶阻器混沌電路及其在圖像加密中的應(yīng)用

閔富紅,  王珠林,  王恩榮,  曹弋

閔富紅, 王珠林, 王恩榮, 曹弋. 新型憶阻器混沌電路及其在圖像加密中的應(yīng)用[J]. 電子與信息學(xué)報(bào), 2016, 38(10): 2681-2688. doi: 10.11999/JEIT160178
引用本文: 閔富紅, 王珠林, 王恩榮, 曹弋. 新型憶阻器混沌電路及其在圖像加密中的應(yīng)用[J]. 電子與信息學(xué)報(bào), 2016, 38(10): 2681-2688. doi: 10.11999/JEIT160178
MIN Fuhong, WANG Zhulin, WANG Enrong, CAO Yi. New Memristor Chaotic Circuit and Its Application to Image Encryption[J]. Journal of Electronics & Information Technology, 2016, 38(10): 2681-2688. doi: 10.11999/JEIT160178
Citation: MIN Fuhong, WANG Zhulin, WANG Enrong, CAO Yi. New Memristor Chaotic Circuit and Its Application to Image Encryption[J]. Journal of Electronics & Information Technology, 2016, 38(10): 2681-2688. doi: 10.11999/JEIT160178

新型憶阻器混沌電路及其在圖像加密中的應(yīng)用

doi: 10.11999/JEIT160178
基金項(xiàng)目: 

國(guó)家自然科學(xué)基金(51475246)，江蘇省自然科學(xué)基金(BK20131402)

New Memristor Chaotic Circuit and Its Application to Image Encryption

Funds: 

The National Natural Science Foundation of China (51475246), The Natural Science Foundation of Jiangsu Province (BK20131402)

  • 摘要: 憶阻器是一種擁有記憶功能的電阻，目前憶阻器的研究熱點(diǎn)及難點(diǎn)在于新模型的建立以及相關(guān)方面的應(yīng)用。該文提出一種基于雙曲正弦函數(shù)的新型磁控憶阻器模型，通過分析電壓和電流的相軌跡關(guān)系，發(fā)現(xiàn)其具有典型的憶阻器電壓-電流特性曲線。利用新建的憶阻器模型構(gòu)造新型憶阻混沌系統(tǒng)，通過數(shù)值仿真繪出新系統(tǒng)的相軌跡圖、分岔圖、Lyapunov 指數(shù)譜等，分析了不同參數(shù)時(shí)系統(tǒng)的混沌演化過程。另外，基于電路仿真軟件Multisim研制了實(shí)驗(yàn)仿真電路, 該電路結(jié)構(gòu)簡(jiǎn)單、易于實(shí)際制作，且仿真實(shí)驗(yàn)與理論分析結(jié)論十分吻合，證實(shí)了提出的憶阻混沌系統(tǒng)電路在物理上是可以實(shí)現(xiàn)的。最后，利用新系統(tǒng)混沌序列對(duì)圖像進(jìn)行加密，重點(diǎn)分析了加密直方圖、相鄰像素相關(guān)性以及抗攻擊能力與密鑰敏感性，結(jié)果表明新系統(tǒng)對(duì)圖像密鑰及明文都非常敏感，密鑰空間較大，新提出的憶阻混沌系統(tǒng)應(yīng)用于圖像加密具有較高的安全性能。
    Abstract: Memristor is a kind of resistance and in possession of the function of memory. The research hotspots and difficulties at present memristor lie in the application of the new model and related areas. A novel magnetron memristor model based on hyperbolic sine function is designed and found that its characteristic is consistent with the typical memristor from the trajectory of voltage and current phase. A new memristor chaotic systemshe using the new memristor model is also presented, and then the phase trajectories, the bifurcation diagram and Lyapunov exponent spectrum of the new system are plotted through numerical simulations. In addition, based on Multisim circuit simulation software for the new system simulation, both experimental and simulation results validate the proposed equivalent circuit realization. Finally, the chaotic sequences generated by the new system are used for scrambling the pixel position to protect image information security. The correlation and statistic histogram entropy of adjacent pixels, anti-attack capability and key sensitivity of the encrypted image are analyzed, which indicate that the new memristive chaotic system has much better potential advantages than other existing chaotic system in image encryption application with high safety performance.
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出版歷程
  • 收稿日期:  2016-03-01
  • 修回日期:  2016-04-22
  • 刊出日期:  2016-10-19

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