Artifacts with uneven sampling of red noise

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 1, 2007, Pages

  Milotti, Edoardo ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ANALOG TO DIGITAL CONVERSION; CLOCKS; ENCODING (SYMBOLS); INFORMATION ANALYSIS; SAMPLING;

ARTIFACTS; RED NOISE; SIGNAL SAMPLING;

ACOUSTIC NOISE;

EID: 33846491904     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.011120     Document Type: Article

References (27)

1. S. M. Kay and S. L. Marple, Proc. IEEE IEEPAD 0018-9219 69, 1380 (1981).
2. N. R. Lomb, Astrophys. Space Sci. APSSBE 0004-640X 10.1007/BF00648343 39, 447 (1976);
3. J. D. Scargle, Astrophys. J. ASJOAB 0004-637X 10.1086/160554 263, 835 (1982).
4. F. J. Beutler, SIAM Rev. SIREAD 0036-1445 10.1137/1008065 8, 328 (1966).
5. F. J. Beutler, IEEE Trans. Inf. Theory IETTAW 0018-9448 IT-16, 147 (1970).
6. L. J. Yen, IRE Trans. Circuit Theory IRCTA4 0096-2007 3, 251 (1956).
7. R. Vio, T. Strohmer, and W. Wamsteker, PASP 112, 74 (2000).
8. J. A. Barnes, IEEE Trans. Instrum. Meas. IEIMAO 0018-9456 IM-20, 105 (1971).
9. J. Timmer and M. König, Astron. Astrophys. AAEJAF 0004-6361 300, 707 (1995).
10. E. Milotti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.056701 72, 056701 (2005).
11. E. Milotti, Comput. Phys. Commun. CPHCBZ 0010-4655 175, 212 (2006).
12. E. Milotti, preprint available at: arXiv: physics/0612104.
13. All the simulations reported here have been produced with a slightly modified version of the sample program in the PLNOISE noise generator described in Refs. and available from the CPC Program Library http://www.cpc.cs.qub.ac.uk/ cpc/. The main change in that code amounts to the substitution of the instruction that advances time at each sampling step t+=dt; with the instruction t+=dt (1.+modlevel sin ((2. PIk) modperiod)); where dt is the average sampling interval, modlevel is the modulation level, and modperiod is the modulation period.
14. F. J. Harris, Proc. IEEE IEEPAD 0018-9219 66, 51 (1978).
15. Z. Chen, P. Ch. Ivanov, K. Hu, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.041107 65, 041107 (2002);
16. L. Xu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.051101 71, 051101 (2005).
17. B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman & Co., New York, 1983), pp. 247-255.
18. M. Schroeder, Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise (W. H. Freeman & Co., New York, 1991), pp. 121-133.
19. M. P. Gillman and M. E. Dodd, Bot. J. Linn. Soc. 126, 65 (1998).
20. Characterization of Clocks and Oscillators, edited by, D. B. Sullivan, D. W. Allan, D. A. Howe, and, F. L. Walls, (Tech Note 1337, March 1990).
21. K. M. Cuddington and P. Yodzis, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 B266, 969 (1999).
22. A. Relaño, J. M. G. Gomez, R. A. Molina, J. Retamosa, and E. Faleiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.244102 89, 244102 (2002).
23. L. Salasnich, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.047202 71, 047202 (2005).
24. D. M. Scott, M. H. Finger, and C. A. Wilson, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 344, 412 (2003).
25. G. Rangarajan and M. Ding, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.4991 61, 4991 (2000).
26. S. W. Golomb and S. Golomb, Shift Register Sequences, 2nd ed. (Aegean Park Press, Laguna Hills, CA, 1981).
27. A. A. Minai and T. Anand, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.312 59, 312 (1999).