Using wavelets to detect trends

Journal of Atmospheric and Oceanic Technology

Volumn 14, Issue 3, 1997, Pages 554-564

  Andreas, Edgar L ^a   Treviño, George ^b  

^a Engineering Research and Development Center   (United States)

^b Michigan Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000690931     PISSN: 07390572     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0426(1997)014<0554:UWTDT>2.0.CO;2     Document Type: Article

References (26)

1. Andreas, E. L, 1995: Statistics of surface-layer turbulence and evaluations of eddy-accumulation coefficients. Preprints, 11th Symp. on Boundary Layers and Turbulence, Charlotte, NC, Amer. Meteor. Soc., 106-109.
2. _, and K. J. Claffey, 1995: Air-ice drag coefficients in the western Weddell Sea: 1. Values deduced from profile measurements. J. Geophys. Res., 100,4821-4831.
3. _, and G. Trevino, 1996: Detrending turbulence time series with wavelets. Current Topics in Nonstationary Analysis, G. Treviño, J. C. Hardin, B. Douglas, and E. L Andreas, Eds., World Scientific, 35-73.
4. _, K. J. Claffey, A. P. Makshtas, and B. V. Ivanov, 1992: Atmospheric sciences on Ice Station Weddell. Antarct. J. U. S., 27, 115-117.
5. Bendat, J. S., and A. G. Piersol, 1971: Random Data: Analysis and Measurement Procedures. Wiley-Interscience, 407 pp.
6. Bevington, P. R., 1969: Data Reduction and Error Analysis for the Physical Sciences. McGraw-Hill, 336 pp.
7. Collineau, S., and Y. Brunet, 1993: Detection of turbulent coherent motions in a frest canopy. Part I: Wavelet analysis. Bound.-Layer Meteor., 65, 357-379.
8. Daubechies, I., 1988: Orthonormal bases of compactly supported wavelets. Commun. Pure Appl Math., 41, 909-996.
9. Farge, M., 1992: Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech., 24, 395-457.
10. Gamage, N., and C. Hagelberg, 1993: Detection and analysis of microfronts and associated coherent events using localized transforms. J. Atmos. Sci., 50, 750-756.
11. Gao, W., and B. L. Li, 1993: Wavelet analysis of coherent structures at the atmosphere-forest interface. J. Appl. Meteor., 32, 1717-1725.
12. Haltiner, G. J., and R. T. Williams, 1980: Numerical Prediction and Dynamic Meteorology. Wiley & Sons, 477 pp.
13. Jenkins, G. M., and D. G. Watts, 1968: Spectral Analysis and Its Applications. Holden-Day, 525 pp.
14. Katul, G. G., and M. B. Parlange, 1994: On the active role of temperature in surface-layer turbulence. J Atmos Sci., 51, 2181-2195.
15. Lenschow, D. H., J. Mann, and L. Kristensen, 1994: How long is long enough when measuring fluxes and other turbulence statistics? J. Atmos. Oceanic Technol., 11, 661-673.
16. Mahrt, L., and W. Gibson, 1992: Flux decomposition into coherent structures. Bound-Layer Meteor., 60, 143-168.
17. _, and J. F Howell, 1994: The influence of coherent structures and microfronts on scaling laws using global and local transforms. J. Fluid Mech., 260, 247-270.
18. Panofsky, H. A., and J. A. Dutton, 1984: Atmospheric Turbulence: Models and Methods for Engineering Applications. Wiley & Sons, 397 pp.
19. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1994: Numerical Recipes in FORTRAN: The Art of Scientific Computing. 2d ed. Cambridge University Press, 963 pp.
20. Priestley, M. B., 1981: Spectral Analysis and Time Series. Academic Press, 890 pp.
21. Strang, G., 1989: Wavelets and dilation equations: A brief introduction. SIAM Rev., 31, 614-627.
22. Treviño, G., 1982: A method for detrending correlated random data. Applied Time Series Analysis, O. D. Anderson and M. R. Perryman, Eds., North-Holland, 465-473.
23. _, 1985: A method for approximating the mean-value of nonstationary random data. Time Series Analysis: Theory and Practice 7, O. D. Anderson, Ed., Elsevier, 189-194.
24. _, and E. L Andreas, 1995: Hat wavelets yield inconclusive evidence of Richardson cascade. Preprints, 11th Symp. on Boundary Layers and Turbulence, Charlotte, NC, Amer. Meteor. Soc., 361-364.
25. _, and _, 1997: On wavelet analysis of nonstationary turbulence. Bound.-Layer Meteor., in press.
26. Turner, B. L., and M. Y. Leclerc, 1994: Conditional sampling of coherent structures in atmospheric turbulence using the wavelet transform. J. Atmos. Oceanic Technol., 11, 205-209.