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Volumn 55, Issue 4, 2007, Pages 1379-1389

Linear, random representations of Chaos

Author keywords

Chaos; Nonlinear modeling

Indexed keywords

LINEAR SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES; SIGNAL THEORY; SYSTEM THEORY;

EID: 34147159582     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.888885     Document Type: Article
Times cited : (18)

References (28)
  • 1
    • 0000357105 scopus 로고
    • Dimension increase in filtered chaotic signals
    • Mar
    • R. Badii, "Dimension increase in filtered chaotic signals," Phys. Rev. Lett., vol. 60, no. 11, pp. 979-982, Mar. 1988.
    • (1988) Phys. Rev. Lett , vol.60 , Issue.11 , pp. 979-982
    • Badii, R.1
  • 3
    • 0041328344 scopus 로고    scopus 로고
    • Chaotic and random point processes: Analysis, design, and applications to switching systems
    • Aug
    • A. Baranovski and W. Schwarz, "Chaotic and random point processes: Analysis, design, and applications to switching systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 8, pp. 1081-1088, Aug. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.50 , Issue.8 , pp. 1081-1088
    • Baranovski, A.1    Schwarz, W.2
  • 5
    • 0001767446 scopus 로고
    • Attractor reconstruction from filtered chaotic time series
    • Apr
    • A. Chennaoui, "Attractor reconstruction from filtered chaotic time series," Phys. Rev. A, vol. 41, no. 8, pp. 4151-4159, Apr. 1990.
    • (1990) Phys. Rev. A , vol.41 , Issue.8 , pp. 4151-4159
    • Chennaoui, A.1
  • 6
    • 0032154349 scopus 로고    scopus 로고
    • Discrete-time chaotic encryption systems - Part III: Cryptographical analysis
    • Sep
    • F. Dachselt, K. Kelber, and W. Schwarz, "Discrete-time chaotic encryption systems - Part III: Cryptographical analysis," IEEE Trans. Circuits Syst. I, Fund. Theory Appl., vol. 45, no. 9, pp. 983-988, Sep. 1998.
    • (1998) IEEE Trans. Circuits Syst. I, Fund. Theory Appl , vol.45 , Issue.9 , pp. 983-988
    • Dachselt, F.1    Kelber, K.2    Schwarz, W.3
  • 8
    • 0029769997 scopus 로고    scopus 로고
    • Minimum mean square estimation for a class of chaotic systems
    • D. F. Drake, "Minimum mean square estimation for a class of chaotic systems," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. 1996, vol. 5, pp. 2960-2963.
    • (1996) Proc. IEEE Int. Conf. Acoust., Speech, Signal Process , vol.5 , pp. 2960-2963
    • Drake, D.F.1
  • 9
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Jul
    • J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Modern Phys., vol. 57, no. 3, pp. 617-656, Jul. 1985.
    • (1985) Rev. Modern Phys , vol.57 , Issue.3 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 10
    • 0031258419 scopus 로고    scopus 로고
    • Discrete-time chaotic encryption systems - Part I: Statistical design approach
    • Oct
    • M. Götz, K. Kelber, and W. Schwarz, "Discrete-time chaotic encryption systems - Part I: Statistical design approach," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 44, no. 10, pp. 963-970, Oct. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.44 , Issue.10 , pp. 963-970
    • Götz, M.1    Kelber, K.2    Schwarz, W.3
  • 11
    • 0005415517 scopus 로고
    • Nonlinear aspects of sampled-data control systems
    • Brooklyn Polytech. Inst
    • R. Kalman, "Nonlinear aspects of sampled-data control systems," in Proc. Symp. Nonlin. Circuit Anal. VI, 1956, pp. 273-313, Brooklyn Polytech. Inst.
    • (1956) Proc. Symp. Nonlin. Circuit Anal. VI , pp. 273-313
    • Kalman, R.1
  • 12
    • 0029359750 scopus 로고
    • Methods for chaotic signal estimation
    • Aug
    • S. Kay and V. Nagesha, "Methods for chaotic signal estimation," IEEE Trans. Signal Process., vol. 43, no. 8, pp. 2013-2016, Aug. 1995.
    • (1995) IEEE Trans. Signal Process , vol.43 , Issue.8 , pp. 2013-2016
    • Kay, S.1    Nagesha, V.2
  • 13
    • 0038194092 scopus 로고    scopus 로고
    • Information sources using chaotic dynamics
    • May
    • T. Kohda, "Information sources using chaotic dynamics," Proc. IEEE vol. 90, no. 5, pp. 641-661, May 2002.
    • (2002) Proc. IEEE , vol.90 , Issue.5 , pp. 641-661
    • Kohda, T.1
  • 14
    • 0030833521 scopus 로고    scopus 로고
    • Statistics of chaotic binary sequences
    • Jan
    • T. Kohda and A. Tsuneda, "Statistics of chaotic binary sequences," IEEE Trans. Inf. Theory, vol. 43, no. 1, pp. 104-112, Jan. 1997.
    • (1997) IEEE Trans. Inf. Theory , vol.43 , Issue.1 , pp. 104-112
    • Kohda, T.1    Tsuneda, A.2
  • 16
    • 0031258547 scopus 로고    scopus 로고
    • Chaotic complex spreading sequences for asynchronous DS-CDMA - Part I: System modeling and results
    • Oct
    • G. Mazzini, G. Setti, and R. Robatti, "Chaotic complex spreading sequences for asynchronous DS-CDMA - Part I: System modeling and results," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 44, no. 10, pp. 937-947, Oct. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.44 , Issue.10 , pp. 937-947
    • Mazzini, G.1    Setti, G.2    Robatti, R.3
  • 18
    • 0034246419 scopus 로고    scopus 로고
    • Optimal estimation of chaotic signals generated by piecewise-linear maps
    • Aug
    • C. Pantaleón, D. Luengo, and I. Santamaría, "Optimal estimation of chaotic signals generated by piecewise-linear maps," IEEE Signal Process. Lett., vol. 7, no. 8, pp. 235-237, Aug. 2000.
    • (2000) IEEE Signal Process. Lett , vol.7 , Issue.8 , pp. 235-237
    • Pantaleón, C.1    Luengo, D.2    Santamaría, I.3
  • 19
    • 0029219425 scopus 로고
    • Maximum-likelihood estimation of a class of chaotic signals
    • Jan
    • H. C. Papadopoulos and G. W. Wornell, "Maximum-likelihood estimation of a class of chaotic signals," IEEE Trans. Inf. Theory, vol. 41, no. 1, pp. 312-317, Jan. 1995.
    • (1995) IEEE Trans. Inf. Theory , vol.41 , Issue.1 , pp. 312-317
    • Papadopoulos, H.C.1    Wornell, G.W.2
  • 21
    • 0034313578 scopus 로고    scopus 로고
    • A tensor approach to higher order expectations of quantized chaotic trajectories - Part I: General theory and specialization to piecewise affine Markov systems
    • Nov
    • R. Rovatti, G. Mazzini, and G. Setti, "A tensor approach to higher order expectations of quantized chaotic trajectories - Part I: General theory and specialization to piecewise affine Markov systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 11, pp. 1571-1583, Nov. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.47 , Issue.11 , pp. 1571-1583
    • Rovatti, R.1    Mazzini, G.2    Setti, G.3
  • 22
    • 4143108076 scopus 로고    scopus 로고
    • Statistical modeling and design of discrete-time chaotic processes: Advanced finite-dimensional tools and applications
    • May
    • R. Rovatti, G. Mazzini, G. Setti, and A. Giovanardi, "Statistical modeling and design of discrete-time chaotic processes: Advanced finite-dimensional tools and applications," Proc. IEEE, vol. 90, no. 5, pp. 820-841, May 2002.
    • (2002) Proc. IEEE , vol.90 , Issue.5 , pp. 820-841
    • Rovatti, R.1    Mazzini, G.2    Setti, G.3    Giovanardi, A.4
  • 24
    • 4243746560 scopus 로고
    • Studies in astronomical time series analysis IV: Modeling chaotic and random processes with linear filters
    • Aug
    • J. Scargle, "Studies in astronomical time series analysis IV: Modeling chaotic and random processes with linear filters," The Astrophys. J. vol. 359, pp. 469-482, Aug. 1990.
    • (1990) The Astrophys. J , vol.359 , pp. 469-482
    • Scargle, J.1
  • 25
    • 0035508791 scopus 로고    scopus 로고
    • Symbolic dynamics for processing chaotic signals - I: Noise reduction of chaotic sequences
    • Nov
    • J. Schweizer and T. Schimming, "Symbolic dynamics for processing chaotic signals - I: Noise reduction of chaotic sequences," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1269-1282, Nov. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.48 , Issue.11 , pp. 1269-1282
    • Schweizer, J.1    Schimming, T.2
  • 26
    • 0035509183 scopus 로고    scopus 로고
    • Symbolic dynamics for processing chaotic signals - II: Communication and coding
    • Nov
    • J. Schweizer and T. Schimming, "Symbolic dynamics for processing chaotic signals - II: Communication and coding," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1283-1295, Nov. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.48 , Issue.11 , pp. 1283-1295
    • Schweizer, J.1    Schimming, T.2
  • 27
    • 0038532763 scopus 로고    scopus 로고
    • Statistical modeling of discrete-time chaotic processes - Basic finite-dimensional tools and applications
    • May
    • G. Setti, G. Mazzini, R. Rovatti, and S. Callegari, "Statistical modeling of discrete-time chaotic processes - Basic finite-dimensional tools and applications," Proc. IEEE, vol. 90, no. 5, pp. 662-690, May 2002.
    • (2002) Proc. IEEE , vol.90 , Issue.5 , pp. 662-690
    • Setti, G.1    Mazzini, G.2    Rovatti, R.3    Callegari, S.4
  • 28
    • 0033322267 scopus 로고    scopus 로고
    • Estimating initial conditions of noisy chaotic signals generated by piece-wise linear markov maps using itineraries
    • Dec
    • S. Wang, P. C. Yip, and H. Leung, "Estimating initial conditions of noisy chaotic signals generated by piece-wise linear markov maps using itineraries," IEEE Trans. Signal Process., vol. 47, no. 12, pp. 3289-3302, Dec. 1999.
    • (1999) IEEE Trans. Signal Process , vol.47 , Issue.12 , pp. 3289-3302
    • Wang, S.1    Yip, P.C.2    Leung, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.