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Published byShannon Gardner Modified over 6 years ago
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WAVES AND WAVELETS Shamelessly stolen from R. Greenhalgh, Electrical
Engineering, University of Western Australia.
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WINDOWING – SHORT TERM FOURIER TRANSFORM
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No Differentiation of Process by occurrence in time or frequency
Domain. Purely stochastic process.
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Simple analysis of Time Series with break down of time
periods but no break down of frequencies within each group.
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Tallahassee Monthly Precipitation
Simple analysis of frequencies over spectrum periods but no break down of time and changing frequency characteristics. Tallahassee Monthly Precipitation
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Breakdown of spectrum of frequencies over discrete time periods.
Jax Jax Jax
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Various frequencies or “scales”applied repetitively over appropriate
(to “scale”) time periods.
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Basic wavelet form applied over various time scales by “extending” and
“compressing” wavelet over different time periods observations. Compression/ extension Being analogous to various periods of oscillation.
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1872 1882 1892 1902 1911 1872 1882 1892 1902 1911
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53 58 63 65 73 83 87 77
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STANDARDIZED MONTHLY PRECIPITATION TOTALS
Kew Gardens,
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STANDARDIZED MONTHLY PRECIPITATION TOTALS
Kew Gardens,
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STANDARDIZED MONTHLY PRECIPITATION TOTALS
Kew Gardens,
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