Aliasing in 1fα noise spectra: Origins, consequences, and remedies

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

Volumn 71, Issue 6, 2005, Pages

  Kirchner, James W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NOISE SPECTRA; NYQUIST FREQUENCY;

ACOUSTIC NOISE; ENVIRONMENTAL IMPACT; FILTRATION;

FOURIER TRANSFORMS;

EID: 27944433105     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.066110     Document Type: Article

References (31)

1. L. A. N. Amaral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 81.2388 81, 2388 (1998).
2. J. M. Hausdorff, J. Appl. Physiol. JAPHEV 8750-7587 82, 262 (1997).
3. P. Inchausti and J. Halley, Evol. Ecol. Res. EERVBJ 1522-0613 4, 1033 (2002).
4. J. J. Roering, Geology GLGYBA 0091-7613 29, 143 (2001).
5. J. D. Pelletier, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 99, 2546 (2002).
6. J. D. Pelletier, Earth Planet. Sci. Lett. EPSLA2 0012-821X 158, 157 (1998).
7. J. Pelletier and D. Turcotte, J. Hydrol. JHYDA7 0022-1694 10.1016/S0022-1694(97)00102-9 203, 198 (1997).
8. C. Wunsch, Clim. Dyn. CLDYEM 0930-7575 20, 353 (2003).
9. H. Nyquist, Trans. Am. Inst. Electr. Eng. TAEEA5 0096-3860 47, 617 (1928).
10. C. E. Shannon, Proc. IRE PIREAE 0096-8390 37, 10 (1949).
11. R. N. Bracewell, The Fourier Transform and its Applications, 3rd ed. (McGraw-Hill, Boston, 2000).
12. J. T. Broch, Principles of Experimental Frequency Analysis (Elsevier Applied Science, London, 1990).
13. K. Y. R. Billah and M. Shinozuka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.7492 42, 7492 (1990).
14. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series, with Engineering Applications (MIT Press, Cambridge, MA, 1949).
15. E. A. Robinson and M. T. Silva, Digital Foundations of Time Series Analysis, Vol. 2: Wave-Equation Space-Time Processing (Holden-Day, San Francisco, 1981).
16. W. H. Press, Numerical Recipes: the Art of Scientific Computing (Cambridge University Press, New York, 1986).
17. See EPAPS Document No. E-PLEEE8-71-182505 for a MATLAB computer code containing an implementation of the alias-filtering procedure. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html).
18. C. Neal, Hydrology Earth Syst. Sci. 1027-5606 1, 583 (1997).
19. J. W. Kirchner, X. Feng, and C. Neal, Nature (London) NATUAS 0028-0836 10.1038/35000537 403, 524 (2000).
20. C. P. Stark and M. Stieglitz, Nature (London) NATUAS 0028-0836 403, 493 (2000).
21. J. W. Kirchner, X. Feng, and C. Neal, J. Hydrol. JHYDA7 0022-1694 254, 81 (2001).
22. R. Haggerty, S. M. Wondzell, and M. A. Johnson, Geophys. Res. Lett. GPRLAJ 0094-8276 29, 1640 (2002).
23. B. Berkowitz, Water Resour. Res. WRERAQ 0043-1397 10.1029/2001WR001030 38, 1191 (2002).
24. H. Scher, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2001GL014123 29, 1061 (2002).
25. H. J. Weaver, Applications of Discrete and Continuous Fourier Analysis (Krieger, Malabar, FL, 1992).
26. C. Wunsch, Paleoceanography POCGEP 0883-8305 10.1029/1999PA000468 15, 417 (2000).
27. D. R. Brillinger, Time Series: Data Analysis and Theory (Holden-Day, San Francisco, 1981).
28. J. D. Scargle, Astrophys. J. ASJOAB 0004-637X 10.1086/160554 263, 835 (1982).
29. D. L. Wu, P. B. Hays, and W. R. Skinner, J. Atmos. Sci. JAHSAK 0022-4928 52, 3501 (1995).
30. B. D. Malamud and D. L. Turcotte, Adv. Geophys. ADGOAR 0065-2687 40, 1 (1999).
31. B. D. Malamud and D. L. Turcotte, J. Stat. Plan. Infer. JSPIDN 0378-3758 10.1016/S0378-3758(98)00249-3 80, 173 (1999).