Abstract
The continuous wavelet transform is adapted to account for signal truncation through renormalization and by modifying the shape of the analyzing window. Comparison is made of the instant, integrated, and mean wavelet power with previous algorithms. The edge adapted and renormalized admissible wavelet transforms are used to estimate the level of solar magnetic activity from the sunspot record. The solar activity is compared to Oerlemans’ temperature reconstruction and to the Central England Temperature record. A correlation is seen for years between 1610 and 1990, followed by a strong deviation as the recently observed temperature increases.
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Barnston, A.G., Livezey, R.E.: J. Clim. 2, 1295 (1989)
Bracewell, R.N.: Nature 171, 649 (1953)
Bracewell, R.N.: Mon. Not. R. Astr. Soc. 230, 535 (1988)
Buck, B., Macaulay, V.A.: In: Ericson, G., Neudorfer, P., Smith, C.R. (eds.) Maximum Entropy and Bayesian Methods, Seattle 1991, p. 241. Kluwer, Dordrecht (1992)
Buck, B., Macaulay, V.A.: In: Mohammad-Djafari, A., Demoments, G. (eds.) Maximum Entropy and Bayesian Methods, Paris 1992, p. 345. Kluwer, Dordrecht (1993)
Echer, M.P.S., Echer, E., Nordemann, D.J., Rigozo, N.R., Prestes, A.: Clim. Change 87(3), 489 (2008). doi:10.1007/s10584-007-9296-6
Echer, M.P.S., Echer, E., Nordemann, D.J.R., Rigozo, N.R.: J. Atmos. Sol.-Terr. Phys. 71(1), 41 (2009). doi:10.1016/j.jastp.2008.09.032
Fligge, M., Solanki, S.K., Beer, J.: Astron. Astrophys. 346, 313 (1999)
Foster, G.: Astron. J. 112(4), 1709 (1996)
Frick, P., Galyagin, D., Hoyt, D.V., Nesme-Ribes, E., Schatten, K.H., Sokoloff, D., Zakharov, V.: Astron. Astrophys. 328, 670 (1997a)
Frick, P., Baliunas, S., Galyagin, D., Sokoloff, D., Soon, W.: Astrophys. J. 483, 426 (1997b)
Goupillaud, P., Grossman, A., Morlet, J.: Geoexploration 23, 85 (1984)
Hameed, S., Lee, J.N.: Geophys. Res. Lett. 32, 23817 (2005). doi:10.1029/2005GL024393
Hathaway, D.H., Wilson, R.M., Reichmann, E.J.: Sol. Phys. 211, 357 (2002)
Hoyt, D.V., Schatten, K.H.: Sol. Phys. 181, 491 (1998)
Johnson, R.W.: Phys. Rev. D 76(7), 074502 (2007). doi:10.1103/PhysRevD.76.074502
Johnson, R.W.: J. Geophys. Res. 114, A05105 (2009). doi:10.1029/2009JA014172
Kaiser, G.: A Friendly Guide to Wavelets. Birkhauser, Cambridge (1994). ISBN 0817637117
Le, G.M.: Chin. J. Astron. Astrophys. 4(6), 578 (2004)
Lean, J., Rind, D.: J. Clim. 11, 3069 (1998). doi:10.1175/1520-0442(1998)011
Li, C.H., Yang, Z.F., Huang, G.H., Li, Y.P.: Expert Syst. Appl. 36(2), 3309 (2009). doi:10.1016/j.eswa.2008.01.083
Li, K.J., Gao, P.X., Su, T.W.: Sol. Phys. 229, 181 (2005). doi:10.1007/s11207-005-5001-y
Lihua, M., Yanben, H., Zhiqiang, Y.: Appl. Geophys. 4(3), 231 (2007). doi:10.1007/s11770-007-0029-4
Liu, Y., Liang, X.S., Weisberg, R.H.: J. Atmos. Ocean. Technol. 24, 2093 (2007). doi:10.1175/2007JTECHO511.1
Lockwood, M., Fröhlich, C.: Proc. Royal Soc. A, Math. Phys. Eng. Sci. 463, 2447 (2007). doi:10.1098/rspa.2007.1880
Moore, J., Grinsted, A., Jevrejeva, S.: Geophys. Res. Lett. 33, 17705 (2006). doi:10.1029/2006GL026501
Moore, J., Grinsted, A., Jevrejeva, S.: Nonlinear Dyn. Geosci., 457 (2007). doi:10.1007/978-0-387-34918-3_25
Oerlemans, J.: Science 308(5722), 675 (2005)
Parker, D.E., Legg, T.P., Folland, C.K.: Int. J. Climatol. 12, 317 (1992)
Perel, M.V., Sidorenko, M.S.: J. Phys. A, Math. Gen. 40, 3441 (2007). doi:10.1088/1751-8113/40/13/011
Perel, M.V., Sidorenko, M.S.: J. Phys. A, Math. Gen. 42, 5211 (2009). doi:10.1088/1751-8113/42/37/375211
Piscaronoft, P., Kalvová, J., Brázdil, R.: Int. J. Climatol. 24(13), 1661 (2004). doi:10.1002/joc.1095
Polygiannakis, J., Preka-Papadema, P., Moussas, X.: Mon. Not. R. Astron. Soc. 343, 725 (2003). doi:10.1046/j.1365-8711.2003.06705.x
SIDC-team: Monthly Report on the International Sunspot Number, online catalogue (1700–2008)
Sweldens, W.: SIAM J. Math. Anal. 29(2), 511 (1998)
Torrence, C., Compo, G.P.: Bull. Am. Meteorol. Soc. 79(1), 61 (1998)
Weber, S.L.: Clim. Past 1, 9 (2005)
Wilson, R.M.: Sol. Phys. 115, 397 (1988). doi:10.1007/BF00148736
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Johnson, R.W. Edge adapted wavelets, solar magnetic activity, and climate change. Astrophys Space Sci 326, 181–189 (2010). https://doi.org/10.1007/s10509-009-0249-6
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DOI: https://doi.org/10.1007/s10509-009-0249-6