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<article language="en">
	<journal>
		<journal_title>Solid Earth Discussions</journal_title>
		<journal_url>www.solid-earth-discuss.net</journal_url>
		<eissn>1869-9537</eissn>
		<volume_number>4</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2012</publication_year>
	</journal>
	<doi>10.5194/sed-4-131-2012</doi>
	<article_url>http://www.solid-earth-discuss.net/4/131/2012/</article_url>
	<abstract_html>http://www.solid-earth-discuss.net/4/131/2012/sed-4-131-2012.html</abstract_html>
	<fulltext_pdf>http://www.solid-earth-discuss.net/4/131/2012/sed-4-131-2012.pdf</fulltext_pdf>
	<start_page>131</start_page>
	<end_page>172</end_page>
	<publication_date>2012-01-20</publication_date>
	<article_title content_type="html">Geomagnetic jerks characterization via spectral analysis</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>B. Duka</name>
			<email>bejo.duka@unitir.edu.al</email>
		</author>
		<author numeration="2" affiliations="2,3">
			<name>A. De Santis</name>
		</author>
		<author numeration="3" affiliations="4,5">
			<name>M. Mandea</name>
		</author>
		<author numeration="4" affiliations="6">
			<name>A. Isac</name>
		</author>
		<author numeration="5" affiliations="2">
			<name>E. Qamili</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Faculty of Natural Sciences, University of Tirana, Tirana, Albania</affiliation>
		<affiliation numeration="2" content_type="html">Istituto Nazionale di Geofisica e Vulcanologia, Roma, Italy</affiliation>
		<affiliation numeration="3" content_type="html">Universita&apos; G. D&apos;Annunzio, Chieti, Italy</affiliation>
		<affiliation numeration="4" content_type="html">Directorate for Strategy and Programmes, Centre National d&apos;Etudes Spatiale, Paris, France</affiliation>
		<affiliation numeration="5" content_type="html">European Center for the Arctic, Université de Versailles, Guyancourt, France</affiliation>
		<affiliation numeration="6" content_type="html">Geological Institute of Romania, Bucharest, Romania</affiliation>
	</affiliations>
	<abstract content_type="html">In this study we have applied spectral techniques to analyze geomagnetic
field time-series provided by observatories, and compared the results with
those obtained from analogous analyses of synthetic data estimated from
models. Then, an algorithm is here proposed to detect the geomagnetic jerks
in time-series, mainly occurring in the Eastern component of the geomagnetic
field. Applying such analysis to time-series generated from global models
has allowed us to depict the most important space-time features of the
geomagnetic jerks all over the globe, since the beginning of XXth century.
Finally, the spherical harmonic power spectra of the third derivative of the
main geomagnetic field has been computed from 1960 to 2002.5, bringing new
insights to understanding the spatial evolution of these rapid changes of
the geomagnetic field.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Alexandrescu, M., Gilbert, D., Hulot, G., Le Mou\&quot;el, J.-L., and Saracco, G.: Detection of geomagnetic jerks using wavelet analysis, J. Geophys. Res., 100, 12557–12572, 1995. </reference>
		<reference numeration="2" content_type="text"> Alexandrescu, M., Gilbert, D., Hulot, G., Le Mou\&quot;el, J.-L., and Saracco, G.: Worldwide wavelet analysis of geomagnetic jerks, J. Geophys. Res., 101, 21975–21994, 1996. </reference>
		<reference numeration="3" content_type="text"> Backus, G., Parker, R., and Constable, C.: Foundation of Geomagnetism, Cambridge University Press, 103, 1996. </reference>
		<reference numeration="4" content_type="text"> Benton, E. R., Estes, R. H., and Langel, R. A.: Geomagnetic field modeling inconrporating constraints from frozen flux electromagnetism, Phys. Earth Planet. Inter., 48, 241–264, 1987. </reference>
		<reference numeration="5" content_type="text"> Bloxham, G., Zatman, S., and Dumberry, M.: The origin of geomagnetic jerks, Nature, 420, 65–68, 2002. </reference>
		<reference numeration="6" content_type="text"> Brockwell, P. J. and Davis, R. A.: time-series: Theory and Methods, 2~Edn., Springer, 2009. </reference>
		<reference numeration="7" content_type="text"> Chambodut, A. and Mandea, M.: Evidence for geomagnetic jerks in comprehensive models, Earth, Planet. Space, 57, 139–149, 2005. </reference>
		<reference numeration="8" content_type="text"> Chambodut,~A., Panet,~I., Mandea,~M., Diament,~M., Holschneider,~M., and James,~O.:~Wavelet frames: an alternative to spherical harmonic representation of potential fields, Geophys. J. Int., 163, 875–899, 2005. </reference>
		<reference numeration="9" content_type="text"> Chau, H. D., Ducruix, J., and Le Mou\&quot;el, J.-L.: Sur le caractère planétaire du saut de variation séculaire de 1969–1970, C R Acad. Sci. Paris, B293, 157–160, 1981. </reference>
		<reference numeration="10" content_type="text"> Courtillot, V., Ducruix, J., and Le Mou\&quot;el, J.-L.: Sur une accélérations récente de la variation séculaire du champ magnétique terrestre, C R Acad. Sci. Paris, D287, 1095–1098, 1978. </reference>
		<reference numeration="11" content_type="text"> Daubechies, I.: Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, 1992. </reference>
		<reference numeration="12" content_type="text">Gabor, D.: Theory of communications, J. Inst. Elec. Eng., 93, 429–457, 1946. </reference>
		<reference numeration="13" content_type="text"> Grossmann, A., Holschneider, M., Kronland-Martinet, R., and Morlet, J.: Detection of abrupt changes in sound signals with the help of wavelet transform, in: Inverse Problems: An Interdisciplinary Study, Adv. Electron. Electron. Phys., 19, San Diego, CA: Academic, 298–306, 1987. </reference>
		<reference numeration="14" content_type="text"> Holschneider, M.: Wavelets: An Analysis Tool, Oxford: Oxford University Press, 1995. </reference>
		<reference numeration="15" content_type="text"> Jacobsen, E. and Lyons, R.: The sliding DFT, Signal Processing Magazine, 20, 74–80, 2003. </reference>
		<reference numeration="16" content_type="text"> Jackson, A., Jonkers, A. R. T., and Walker, M. R.: Four centuries of geomagnetic secular variation from historical records, Phil. Trans. R. Soc. Lond., 358, 957-990, 2000. </reference>
		<reference numeration="17" content_type="text"> Kumar, P. and Georgiu, E. F.: Wavelet Analysis in Geophysics: An Introduction, in Wavelet Analysis and its Applications, 1–43, Academic Press, 1994. </reference>
		<reference numeration="18" content_type="text"> Le Huy, M., Alexandrescu, M., Hulot, G., and Le Mou\&quot;el, J.-L.: On the characteristics of successive geomagnetic jerks. Earth Planets Space, 50, 723–732, 1998. </reference>
		<reference numeration="19" content_type="text"> Lowes, F. J.: Spatial power spectrum of the main geomagnetic field, and extrapolation to the core, Geophys. J. R. Astr. Soc., 36, 717–730, 1974. </reference>
		<reference numeration="20" content_type="text"> Lowes, F. J.: Spatial Geomagnetic Spectrum, in Encyclopedia of geomagnetism and paleomagnetism, edited by: Gubbins, D. and Herrero-Bervera, E., Springer, 351–353, 2007. </reference>
		<reference numeration="21" content_type="text"> MATLAB: the language of technical computing. Using MATLAB, MathWorks Inc., 2004. </reference>
		<reference numeration="22" content_type="text"> Mandea, M., Bellanger, E., and Le Mou\&quot;el, J. -L.: A geomagnetic jerk for the end of the 20th century?, Earth Planet. Sci. Lett., 183, 369–373, 2000. </reference>
		<reference numeration="23" content_type="text"> Mandea, M., Holme, R., Pais, A., Pinheiro, K., Jackson, A., and Verbanac, G.: Geomagnetic Jerks: Rapid Core Field Variations and Core Dynamics, Space Sci. Rev., 155, 147–175, 2010. </reference>
		<reference numeration="24" content_type="text"> Meyer, Y.: Wavelets and Operators, Cambridge University Press, 1992. </reference>
		<reference numeration="25" content_type="text"> Meyer, Y.: Wavelets, Algorithms and Applications, SIAM, Philadelphia, 1993. </reference>
		<reference numeration="26" content_type="text"> Misiti, M., Misiti, Y., Oppenheim, G., and Poggi, J. M.: Wavelets and Their Applications, Hermes Lavoisier, ISTE Publishing Knowledge, 2007. </reference>
		<reference numeration="27" content_type="text"> Nagao, H., Iyemori, T., Higuchi, T., and Araki, T.: Lower mantle conductivity anomalies estimated from geomagnetic jerks, J. Geophys. Res., 108, 2254, doi:10.129/2002JB001786, 2003. </reference>
		<reference numeration="28" content_type="text"> Olsen, N. and Mandea, M.: Investigation of a secular variation impulse using satellite data: The 2003 geomagnetic jerk, Earth Planet. Sci. Lett., 255, 94–105, 2007. </reference>
		<reference numeration="29" content_type="text"> Olsen, N. and Mandea, M.: Rapidly changing flows in the Earth&apos;s core, Nat. Geosci., 1, 390–394, 2008. </reference>
		<reference numeration="30" content_type="text"> Oppenheim, A. V. and Schafer, R. W.: Discrete-Time Signal Processing, Prentice Hall, Englewood Cliffs, NJ, 1989. </reference>
		<reference numeration="31" content_type="text"> Sabaka, T. J., Olsen, N., and Langel, R. A.: A comprehensive model of the quiet-time, near-Earth magnetic field: Phase 3, Geophys. J. Int., 151, 32–68, 2002. </reference>
		<reference numeration="32" content_type="text"> Sabaka, T. J., Olsen, N., and Purucker, M. E.: Extending comprehensive models of the Earth&apos;s magnetic field with Ørsted and CHAMP data, Geophys. J. Int., 159, 521–547, 2004. </reference>
		<reference numeration="33" content_type="text"> Stewart, D. N. and Whaler, K. A.: Geomagnetic disturbance fields: an analysis of observatory monthly means, Geophys. J. Int., 108, 215–223, 1992. </reference>
	</references>
</article>

