Effects of coarse-graining on the scaling behavior of long-range correlated and anti-correlated signals

Physica A: Statistical Mechanics and its Applications

Volumn 390, Issue 23-24, 2011, Pages 4057-4072

  Xu, Yinlin ^a,b   Ma, Qianli D Y ^c,d   Schmitt, Daniel T ^a   Bernaola Galván, Pedro ^e   Ivanov, Plamen Ch ^a,c,e  

^a Boston University   (United States)

^b NANJING NORMAL UNIVERSITY   (China)

^c BRIGHAM AND WOMEN S HOSPITAL   (United States)

^d NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^e UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Coarse graining; Detrended fluctuation analysis; Scaling behavior

Indexed keywords

FLOORS;

COARSE GRAINING; COARSE-GRAINING METHOD; CORRELATED SIGNALS; DETRENDED FLUCTUATION ANALYSIS; SCALING BEHAVIOR; SCALING PROPERTIES; SIGNAL QUANTIZATION; SYMBOLIC SEQUENCE;

QUANTIZATION (SIGNAL);

EID: 80052556224     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2011.05.015     Document Type: Article

References (61)

1. R.L. Stratonovich Topics in the Theory of Random Noise Vol. 1 1981 Gordon & Breach New York
2. H.E. Hurst Trans. Am. Soc. Civ. Eng. 116 1951 770
3. B.B. Mandelbrot, and J.R. Wallis Water Resour. Res. 5 1969 321
4. C.-K. Peng, S.V. Buldyrev, S. Havlin, M. Simons, H.E. Stanley, and A.L. Goldberger Phys. Rev. E 49 1994 1685
5. M.S. Taqqu, V. Teverovsky, and W. Willinger Fractals 3 1995 785
6. J.W. Kantelhardt, E. Koscielny-Bunde, H.H.A. Rego, S. Havlin, and A. Bunde Physica A 295 2001 441
7. P. Carpena, P. Bernaola-Galván, A.V. Coronado, M. Hackenberg, and J.L. Oliver Phys. Rev. E 75 2007 032903
8. G.M. Viswanathan, S.V. Buldyrev, S. Havlin, and H.E. Stanley Biophys. J. 72 1997 866
9. K. Ivanova, T.P. Ackerman, E.E. Clothiaux, P. Ch. Ivanov, H.E. Stanley, and M. Ausloos J. Geophys. Res. 108 2003 4268 Atmos.
10. E. Koscielny-Bunde, H.E. Roman, A. Bunde, S. Havlin, and H.J. Schellnhuber Philos. Mag. B 77 1998 1331
11. P. Talkner, and R.O. Weber Phys. Rev. E 62 2000 150
12. A. Montanari, R. Rosso, and M.S. Taqqu Water Resour. Res. 36 5 2000 1249
13. N. Vandewalle, and M. Ausloos Phy. Rev. E 58 1998 6832
14. P.Ch. Ivanov, A. Yuen, B. Podobnik, and Y. Lee Phys. Rev. E 69 2004 056107
15. S. Bahar, J.W. Kantelhardt, A. Neiman, H.H.A. Rego, D.F. Russell, L.W ilkens, A. Bunde, and F. Moss Europhys. Lett. 56 2001 454
16. S.V. Buldyrev, A.L. Goldberger, S. Havlin, C.-K. Peng, H.E. Stanley, and M. Simons Biophys. J. 65 1993 2673
17. P. Bernaola-Galván, R. Roman-Roldan, and J.L. Oliver Phys. Rev. E 53 1996 5181 5189
18. S.M. Pikkujamsa, T.H. Makikallio, L.B. Sourander, I.J. Raiha, P. Puukka, J. Skytta, C.-K. Peng, A.L. Goldberger, and H.V. Huikuri Circulation 100 1999 393
19. A. Bunde, S. Havlin, J.W. Kantelhardt, T. Penzel, J.H. Peter, and K. Voigt Phys. Rev. Lett. 85 2000 3736
20. P.Ch. Ivanov, L.A.N. Amaral, A.L. Goldberger, M.G. Rosenblum, H.E. Stanley, and Z.R. Struzik Chaos 11 2001 641
21. P.Ch. Ivanov, K. Hu, M.F. Hilton, S.A. Shea, and H.E. Stanley Proc. Natl. Acad. Sci. USA 104 2007 20702
22. D.T. Schmitt, P.K. Stein, and P.Ch. Ivanov IEEE Trans. Biomed. Eng. 56 2009 1564
23. J.M. Hausdorff, C.-K. Peng, Z. Ladin, J. Wei, and A.L. Goldberger J. Applied Physiol. 78 1995 349
24. Y. Ashkenazy, J.M. Hausdorff, P.Ch. Ivanov, and H.E. Stanley Physica A 316 2002 662
25. P.Ch. Ivanov, Q.D.Y. Ma, R.P. Bartsch, J.M. Hausdorff, L.A.N. Amaral, V. Schulte-Frohlinde, H.E. Stanley, and M. Yoneyama Phys. Rev. E 79 2009 041920
26. P.Ch. Ivanov, A. Bunde, L.A. Nunes Amaral, S. Havlin, J. Fritsch-Yelle, R.M. Baevsky, H.E. Stanley, and A.L. Goldberger Europhys. Lett. 48 1999 594
27. K. Hu, P.Ch. Ivanov, Z. Chen, P. Carpena, and H.E. Stanley Phys. Rev. E 64 2001 011114
28. Z. Chen, P.Ch. Ivanov, K. Hu, and H.E. Stanley Phys. Rev. E 65 2002 041107
29. Z. Chen, K. Hu, P. Carpena, P. Bernaola-Galván, H.E. Stanley, and P.Ch. Ivanov Phys. Rev. E 71 2005 011104
30. Q.D.Y. Ma, R.P. Bartsch, P. Bernaola-Galván, M. Yoneyama, and P.Ch. Ivanov Phys. Rev. E 81 2010 031101
31. L. Xu, P.Ch. Ivanov, K. Hu, Z. Chen, A. Carbone, and H.E. Stanley Phys. Rev. E 71 2005 051101
32. A. Bashan, R. Bartsch, J.W. Kantelhardt, and S. Havlin Physica A 387 2007 5080
33. B. Hao Physica D 51 1991 161
34. M. Lefranc, P. Glorieux, F. Papoff, F. Molesti, and E. Arimondo Phys. Rev. Lett. 73 1994 1364
35. K. Mischaikow, M. Mrozek, J. Reiss, and A. Szymczak Phys. Rev. Lett. 82 1999 1144
36. E.M. Bollt, T. Stanford, Y.-C. Lai, and K. Zyczkowski Phys. Rev. Lett. 85 2000 3524
37. R.K. Azad, J.S. Rao, and R. Ramaswamy Chaos Soliton. Fract. 14 2002 633
38. P. beim Graben, and J. Kurths Phys. Rev. Lett. 90 2003 100602
39. A. Arneodo, F. Argoul, J. Elezgaray, and P. Richetti Physica D 62 1993 134
40. K. Karamanos, A. Peratzakis, P. Kapiris, S. Nikolopoulos, J. Kopanas, and K. Eftaxias Nonlinear Proc. Geoph. 12 2005 835
41. S. Gupta, A. Ray, and E. Keller Mech.Syst. Signal Process. 21 2007 866
42. R.F. Voss Phys. Rev. Lett. 68 1992 3805
43. P. beim Graben, J.D. Saddy, M. Schlesewsky, and J. Kurths Phys. Rev. E 62 2000 5518
44. P. van Leeuwen, D. Cysarz, S. Lange, D. Geue, and D. Groenemeyer Chaos 17 2007 015119
45. M. Staniek, and K. Lehnertz Phys. Rev. Lett. 100 2008 158101
46. W. Li J. Stat. Phys. 60 1990 823
47. H. Herzel, and I. Grosse Physica A 216 1995 518
48. C.J. Cellucci, A.M. Albano, and P.E. Rapp Phys. Rev. E 71 2005 066208
49. D. Holste, I. Grosse, S. Beirer, P. Schieg, and H. Herzel Phys. Rev. E 67 2003 061913
50. R.Q. Quiroga, A. Kraskov, T. Kreuz, and P. Grassberger Phys. Rev. E 65 2002 041903
51. B. Groisman, S. Popescu, and A. Winter Phys. Rev. A 72 2005 032317
52. J.M. Martinerie, A.M. Albano, A.I. Mees, and P.E. Rapp Phys. Rev. A 45 1992 7058
53. R.T. Wicks, S.C. Chapman, and R.O. Dendy Phys. Rev. E 75 2007 051125
54. J.L. Oliver, R. Roman-Roldan, J. Perez, and P. Bernaola-Galván Bioinformatic 15 1999 974 979
55. J.L. Oliver, P. Bernaola-Galván, P. Carpena, and R. Roman-Roldan Gene 276 2001 47
56. J.L. Oliver, P. Carpena, R. Roman-Roldan, T. Mata-Balaguer, A. Mejias-Romero, M. Hackenberg, and P. Bernaola-Galvan Gene 300 2002 117 127
57. W. Li, P. Bernaola-Galván, P. Carpena, and J.L. Oliver Comput. Biol. Chem. 27 2003 5 10
58. E.B. Postnikov, A.B. Ryabov, and A. Loskutov J. Phys. A 40 2007 12033
59. H.A. Makse, S. Havlin, M. Schwartz, and H.E. Stanley Phys. Rev. E 53 1996 5445
60. N.S. Jayant, and P. Noll Digital Coding of Waveforms: Principles and Applications to Speech and Video 1984 Prentice-Hall Signal Processing Series
61. G. Rangarajan, and M. Ding Phys. Rev. E 61 2000 4991