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A Practical Guide to Wavelet Analysis

61 Bulletin of the American Meteorological Society1. IntroductionWavelet Analysis is becoming a common tool foranalyzing localized variations of power within a timeseries. By decomposing a time series into time fre-quency space, one is able to determine both the domi-nant modes of variability and how those modes varyin time. The Wavelet transform has been used for nu-merous studies in geophysics, including tropical con-vection (Weng and Lau 1994), the El Ni o SouthernOscillation (ENSO; Gu and Philander 1995; Wang andWang 1996), atmospheric cold fronts (Gamage andBlumen 1993), central England temperature (Baliunaset al. 1997), the dispersion of ocean waves (Meyers etal.)

A Practical Guide to Wavelet Analysis Christopher Torrence and Gilbert P. Compo ... Time (year) 1 2 4 8 16 32 64 Period (years) 64.0 32.0 16.0 8.0 4.0 2.0 1.0 0.5 Scale (years) b. Morlet 1880 1900 1920 1940 1960 1980 2000 Time (year) 1 2 4 8 16 32 Period (years) 16.000 8.000 4.000 2.000 1.000 0.500 0.250 0.125

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