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Volumn 43, Issue 1, 1997, Pages 104-112

Statistics of chaotic binary sequences

Author keywords

Bernoulli sequence; Binary sequence; Chaos; Correlation function; Ensemble average; Ergodic map; Pseudorandom number; Sequence of i.i.d. Random variables

Indexed keywords

CHAOS THEORY; MATHEMATICAL MODELS; SIGNAL ENCODING; STATISTICS;

EID: 0030833521     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.567654     Document Type: Article
Times cited : (271)

References (19)
  • 5
    • 84968520264 scopus 로고
    • Random numbers generated by linear recurrence modulo two
    • R. C. Tausworthe, " Random numbers generated by linear recurrence modulo two," Math. of Comput., vol. 19, pp. 201-209, 1965.
    • (1965) Math. of Comput. , vol.19 , pp. 201-209
    • Tausworthe, R.C.1
  • 6
    • 84976805978 scopus 로고
    • Generalized feedback shift register pseudorandom number algorithm
    • T. G. Lewis and W. H. Payne, " Generalized feedback shift register pseudorandom number algorithm," J. Assoc. Comput. Mach., vol. 20, pp. 456-468, 1973.
    • (1973) J. Assoc. Comput. Mach. , vol.20 , pp. 456-468
    • Lewis, T.G.1    Payne, W.H.2
  • 7
    • 0019021287 scopus 로고
    • Crosscorrelation properties of pseudorandom and related sequences
    • D. V. Sarwate and M. B. Pursley, " Crosscorrelation properties of pseudorandom and related sequences," Proc. IEEE, vol. 68, no. 3, pp. 593-619, 1980.
    • (1980) Proc. IEEE , vol.68 , Issue.3 , pp. 593-619
    • Sarwate, D.V.1    Pursley, M.B.2
  • 8
    • 0024012644 scopus 로고
    • An introduction to contemporary cryptology
    • May
    • J. L. Massey, " An introduction to contemporary cryptology," Proc. IEEE, vol. 76, no. 5, pp. 533-549, May 1988.
    • (1988) Proc. IEEE , vol.76 , Issue.5 , pp. 533-549
    • Massey, J.L.1
  • 9
    • 0001591606 scopus 로고
    • On combination of stochastic and deterministic processes
    • S. L. Ulam and J. von Neumann, " On combination of stochastic and deterministic processes," Bull. Math. Soc., vol. 53, p. 1120, 1947.
    • (1947) Bull. Math. Soc. , vol.53 , pp. 1120
    • Ulam, S.L.1    Von Neumann, J.2
  • 10
    • 0039949945 scopus 로고
    • Ergodic theory, randomness, and 'chaos'
    • D. S. Ornstein, " Ergodic theory, randomness, and 'chaos'," Science, vol. 243, pp. 182-186, 1989.
    • (1989) Science , vol.243 , pp. 182-186
    • Ornstein, D.S.1
  • 11
    • 84966243898 scopus 로고
    • Ergodic and mixing properties of Chebyshev polynomials
    • R. L. Adler and T. J. Rivlin, " Ergodic and mixing properties of Chebyshev polynomials," Proc. Amer. Math. Soc., vol. 15, pp. 794-796, 1964.
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 794-796
    • Adler, R.L.1    Rivlin, T.J.2
  • 12
    • 0027650105 scopus 로고
    • Pseudonoise sequences by chaotic nonlinear maps and their correlation properties
    • T. Kohda and A. Tsuneda, " Pseudonoise sequences by chaotic nonlinear maps and their correlation properties," IEICE Trans., vol. E76-B, no. 8, pp. 855-862, 1993.
    • (1993) IEICE Trans. , vol.E76-B , Issue.8 , pp. 855-862
    • Kohda, T.1    Tsuneda, A.2
  • 13
    • 84926767644 scopus 로고
    • Invariant distributions and stationary correlation functions of one-dimensional discrete processes
    • S. Grossmann and S. Thomae, " Invariant distributions and stationary correlation functions of one-dimensional discrete processes," Z. Naturforsch., vol. 32a, pp. 1353-1363, 1977.
    • (1977) Z. Naturforsch. , vol.32 A , pp. 1353-1363
    • Grossmann, S.1    Thomae, S.2
  • 14
    • 0010452332 scopus 로고
    • Statistical properties of chaos in Chebyshev maps
    • T. Geisel and V. Fairen, " Statistical properties of chaos in Chebyshev maps," Phys. Lett., vol. 105A, no. 6, pp. 263-266, 1984.
    • (1984) Phys. Lett. , vol.105 A , Issue.6 , pp. 263-266
    • Geisel, T.1    Fairen, V.2
  • 16
    • 0007127655 scopus 로고
    • Sur une suite egalement répartie
    • R. Fortet, " Sur une suite egalement répartie," Studia Math., vol. 9, pp. 54-69, 1940.
    • (1940) Studia Math. , vol.9 , pp. 54-69
    • Fortet, R.1
  • 17
    • 0002733746 scopus 로고
    • kt)
    • kt)," Ann. Math., vol. 47, pp. 33-49, 1946.
    • (1946) Ann. Math. , vol.47 , pp. 33-49
    • Kac, M.1
  • 18
    • 0011984866 scopus 로고
    • On a class of transformations which have unique absolutely continuous invariant measures
    • A. Boyarsky and M. Scarowsky, " On a class of transformations which have unique absolutely continuous invariant measures," Trans. Amer. Math. Soc., vol. 255, pp. 243-262, 1979.
    • (1979) Trans. Amer. Math. Soc. , vol.255 , pp. 243-262
    • Boyarsky, A.1    Scarowsky, M.2
  • 19
    • 0028549828 scopus 로고
    • Explicit evaluations of correlation functions of Chebyshev binary and bit sequences based on Perron-Frobenius operator
    • T. Kohda and A. Tsuneda, " Explicit evaluations of correlation functions of Chebyshev binary and bit sequences based on Perron-Frobenius operator," IEICE, Trans., vol. E77-A, no. 11, pp. 1794-1800, 1994.
    • (1994) IEICE, Trans. , vol.E77-A , Issue.11 , pp. 1794-1800
    • Kohda, T.1    Tsuneda, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.