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一種分段線性映射的混沌隨機數(shù)發(fā)生器特性研究

李曉明 沈海斌 嚴(yán)曉浪

李曉明, 沈海斌, 嚴(yán)曉浪. 一種分段線性映射的混沌隨機數(shù)發(fā)生器特性研究[J]. 電子與信息學(xué)報, 2005, 27(6): 874-878.
引用本文: 李曉明, 沈海斌, 嚴(yán)曉浪. 一種分段線性映射的混沌隨機數(shù)發(fā)生器特性研究[J]. 電子與信息學(xué)報, 2005, 27(6): 874-878.
Li Xiao-ming, Shen Hai-bin, Yan Xiao-lang . Characteristic Analysis of a Chaotic Random Number Generator Using Piece-Wise-Linear Map[J]. Journal of Electronics & Information Technology, 2005, 27(6): 874-878.
Citation: Li Xiao-ming, Shen Hai-bin, Yan Xiao-lang . Characteristic Analysis of a Chaotic Random Number Generator Using Piece-Wise-Linear Map[J]. Journal of Electronics & Information Technology, 2005, 27(6): 874-878.

一種分段線性映射的混沌隨機數(shù)發(fā)生器特性研究

Characteristic Analysis of a Chaotic Random Number Generator Using Piece-Wise-Linear Map

  • 摘要: 該文通過對確定性混沌演化本質(zhì)的分析和對其系統(tǒng)狀態(tài)空間的劃分,使它轉(zhuǎn)變?yōu)橐粋€各態(tài)歷經(jīng)的信息源以用于設(shè)計隨機數(shù)發(fā)生器。然后又分析了一種混沌的分段線性映射的特性,如:混沌吸引子與點吸引子,信源熵與冗余度以及混沌映射產(chǎn)生的序列的分布特性。此外,利用開關(guān)電容電路技術(shù)用TSMC 0.25m CMOS數(shù)?;旌瞎に噷崿F(xiàn)了此分段線性映射。測試結(jié)果表現(xiàn)出非常好的抗干擾性能。
  • Holman W T, Connelly J A, Dowlatabadi A. An integrated analog/digital random noise source[J].IEEE Trans. on CAS.1997,44(6):521-[2]Pcnzhorn W T. The design of a truly random monolithic noise generator[J].Microelectron. J.1984, 15(4):29-[3]Fairfield R C.[J].Mortenson R L, Coulthart K B. An LSI random number generator, Proc. Advances in Cryptology Conf.(CRYPTO84), Santa Barbara, California, United States.1984,:-[4]Letham L, Hoff D, Folmsbee A. A 128k EPROM using encryption ofpseudorandom numbers to enable read access. IEEE J. of SSC, 1986, 21(5): 881 - 889.[5]Bernstein G M, Lieberman M A. Secure random number generation using chaotic circuit. IEEE Trans. on CAS, 1990, 37(9):1157- 1164.[6]Petrie C S, Connelly J A. A noise-based IC random number generator for applications in cryptography[J].IEEE Trans. on CAS Ⅰ: Fundamental Theory and Applications.2000, 47(5):615-[7]Petrie C S, Connelly J A. Modeling and simulation of oscillator-based random number generators[C]. IEEE International Symposium on Circuits and Systems, Atlanta, GA USA., May,1996, Vol.4: 324- 327.[8]Yang Tao, Wu Chai Wah, Chua L O. Cryptography based on chaotic systems[J].IEEE Trans. on CAS. I: Fundamental Theory and Applications.1997, 44(5):469-472[9]Tsubone T, Saito T. On basic piecewise-constant systems[C]. Proc.of IEEE International Symposium on Circuits and Systems,Geneva, Switzerland, 2000, Vol. 1:248 - 251.[10]Prot Pakonski, Karol Zyczkowski, Marek Kus. Classical 1D maps,quantum graphs and ensembles of unitary matrices[J].European Physical Journal A:Mathematical and General.2001, 34(43):9303-[11]黃潤生編著.混沌及其應(yīng)用.武漢:武漢大學(xué)出版社,2000:151-163.[12]Hsu C S, Kim M C. Construction of maps with generating partitions for entropy evaluation[J].Physical Review .1985,31(5):3253-[13]Hsu C S, Kim M C.Method of constructing generating partitions for entropy evaluation[J].Physical Review A.1984, 30(6):3351-[14]Andrejevic M, Milovanovic D, Petkovic P, et al.. Extraction of frequency characteristics of switched-capacitor circuits using time-domain analysis[C]. The 23rd International Conference on Microelectronics, Faculty of Electronic Engineering, University of Nis, Yugoslavia, 2002, Vol. 2:635 - 638.[15]OConnell I J, Lyden C. A high pass switched capacitor △ modulator[C]. The 9th International Conference on Electronics,Circuits and systems, Dubrovnik Croatia, 2002, Vol.1: 307 - 310.
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  • 收稿日期:  2004-01-12
  • 修回日期:  2004-06-07
  • 刊出日期:  2005-06-19

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