HR: 0830h
AN: NG11A-0173 [PDF]
TI: The WMTSA Wavelet Toolkit for Data Analysis in the Geosciences
AU: * Cornish, C R
EM: ccornish@atmos.washington.edu
AF: Department of Atmospheric Sciences, University of Washington
Box 351640, Seattle, WA 98195-1640 United States
AU: Percival, D B
EM: dbp@apl.washington.edu
AF: Applied Physics Laboratory, University of Washington
Box 355640, Seattle, WA 98195-5640 United States
AU: Bretherton, C S
EM: breth@atmos.washington.edu
AF: Department of Atmospheric Sciences, University of Washington
Box 351640, Seattle, WA 98195-1640 United States
AB:
Whereas Fourier analysis and similar spectral techniques are widely used for data analysis in the geosciences, their
application is based on the assumption that the analyzed signal is stationary and well-sampled. However, many phenomena of
interest in the natural environment are transitory and non-stationary. Furthermore, limited sampling of observations results
in datasets that are incomplete and vary in sampling rates and durations.
Wavelet decomposition techniques do not require the assumption of signal stationary. Additionally wavelet analysis methods
can accommodate data series of any length, be used for signal filtering and reconstruction, and allow the localization of
spectral signatures in time.
We present an overview of the WMTSA toolkit, which is an implementation of the wavelet methods for time series analysis
presented by Percival and Walden (2000). The WMTSA toolkit is being developed for multiple programming platforms (including
Matlab, R, C) and being made available to the greater scientific community to use in their data analysis applications. We
will demonstrate an application and results of using the WMTSA toolkit to the study of turbulence in the atmospheric boundary
layer.
Reference:
D. B. Percival and A. T. Walden (2000), Wavelet Methods for Time Series Analysis. Cambridge, England: Cambridge University
Press.
DE: 3307 Boundary layer processes
DE: 3379 Turbulence
DE: 3394 Instruments and techniques
DE: 9810 New fields (not classifiable under other headings)
DE: 9820 Techniques applicable in three or more fields
SC: Nonlinear Geophysics [NG]
MN: 2003 Fall Meeting