dorsal/arxiv
View SchemaWavelets and Solar Magnetic Activity I: Wavelets on the Edge
| Authors | Robert W. Johnson |
|---|---|
| Categories | |
| ArXiv ID | physics/0604211 |
| URL | https://arxiv.org/abs/physics/0604211 |
Abstract
The traditional continuous wavelet transform is plagued by the cone-of-influence, ie wavelets which extend past either end of a finite timeseries return transform coefficients which tend to decrease as more of the wavelet is truncated. These coefficients may be corrected simply by rescaling the remaining wavelet. The corrected wavelet transform displays no cone-of-influence and maintains reconstruction as either edge is approached. As an application and example, we present the corrected wavelet transform of the (derectified) yearly International Sunspot Number, R_i, as a measure of solar magnetic activity, and compare the yearly solar magnetic power with Oerlemans' glacial global temperature reconstruction.
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"abstract": "The traditional continuous wavelet transform is plagued by the\ncone-of-influence, ie wavelets which extend past either end of a finite\ntimeseries return transform coefficients which tend to decrease as more of the\nwavelet is truncated. These coefficients may be corrected simply by rescaling\nthe remaining wavelet. The corrected wavelet transform displays no\ncone-of-influence and maintains reconstruction as either edge is approached. As\nan application and example, we present the corrected wavelet transform of the\n(derectified) yearly International Sunspot Number, R_i, as a measure of solar\nmagnetic activity, and compare the yearly solar magnetic power with Oerlemans\u0027\nglacial global temperature reconstruction.",
"arxiv_id": "physics/0604211",
"authors": [
"Robert W. Johnson"
],
"categories": [
"physics.data-an",
"astro-ph",
"physics.space-ph"
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"title": "Wavelets and Solar Magnetic Activity I: Wavelets on the Edge",
"url": "https://arxiv.org/abs/physics/0604211"
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