Physics of auroral phenomena : proceedings of the 34th Annual seminar, Apatity, 01 - 04 March, 2011 / [ed.: A. G. Yahnin, A. A. Mochalov]. - Апатиты : Издательство Кольского научного центра РАН, 2011. - 231 с. : ил.
Post-processing ofwavelet transformfor magnetograms received along the northern part o fthe geomagnetic meridian as a new toolfor classification andprediction o f magnetospheric storms Control of dynamics for high latitude active zones The results of the post-processing of the wavelet components of the horizontal component for geomagnetic field to determine the boundaries of high-active zones can be used. Indeed, analysis of concurrent plots of local maxima (skeletons) for the different stations identical fragments of the spectrum at different times at different latitudes is detects. To obtain a quantitative evaluation of the identity of skeletons an algorithm that allows to mark some skeletons and calculate the standard deviation between them we have developed. In the first phase of the algorithm the coordinates of points on the horizontal axis (time) X = [x, X2 ... Xn] and the vertical axis (frequency) Y = \У\ У 2 ••• У„ ] forming a skeleton in his frame are determined. For each pair of skeletons the standard 1 П 2 deviation D x = , /— /_ '( x f — x . 2 1 where n - number of points (in our experiments n = 23) forming the V n м skeleton, si, s2 - indexes belonging to the skeleton in a selected pair has calculated. The resulting deviation to the ( ~ 4 total maximum value is normalized and as a percentage is calculated: D xn = 1- Dx, max ( E>x ) 100 % Note that the spacing between neighboring skeleton (excluding skeletons on the edge, whose appearance by edge effect is caused) the characteristic time scale in the investigated frequency range is indicates. For the wavelet scale factor from 4 to 15 (2-8 MHz) it averages about 30 minutes this space is equal. I.e. with such an interval in the frequency range all oscillating system is changing. In this regard, the skeletons on investigated latitudes for calculate Dxn inside the half-hour time window is formed. Consistent skeleton for which the value of Dxn exceeded 70% we considered only. By calculating all possible combinations values for Dxn identical groups of skeletons at different latitudes can be found. Fig. 2a examples of skeletons are consistent within the group is shows. inf * "•"A. Inf; : --- 68.95 P»K :• BJN Ibf ■ /KBV Inf и? inf 'f * .... 29.47 a) In? t»n\ Inf 1 UPS' ihf 2 64 3 □□ ■ ви □ и □□ □ □ ■ В □ □ ■ вв □□ □ □ □ ■ ■ □ □ . □□ йй й й в 0 и 0 й Г■ Т ---- вш ■ в □ a@o □□ □ □ □ в ш, □ □ □ □ ■ ■ ■ □ □ 0 D - □ □ □ ■ ■ □ □ □ □ __ .1 b) 15 Timezones Fig. 2. Examples of skeletons within the group for which the value Dxn exceeded 70% (a) are consistent. Skeletons, which were not included in the group with «Inf» are marked; the abscissa present time in minutes, the ordinate present wavelet coefficients, station code in the upper right comer is present. The dynamics of the conditional distribution map of disturbances during extreme storms 24/11/2001 (b) are presented. Vertical dashed lines phase of the storm (quiet state, the initial phase and main phase) is separate. The color coding consistent skeleton for the polar cap (gray), the auroral oval (shading) and sub-auroral zone (black) is indicates. Combining the obtained estimates for the corresponding pattern of time intervals the map of the distribution of identical pieces of the spectrum, with an indication of its latitude magnetograms registration stations can be obtained. At the next stage of the selected group of skeletons on the basis of belonging to different active high- latitude regions - the polar cap, the auroral oval and sub-auroral zone can be further combined. Fig. 2b the evolution of map of the distribution of disturbances during extreme storm 11/24/2001 are shows. The obtained borders on the distribution map of disturbances with the calculated boundaries of the auroral oval, according to the model of PGI RAS, allowing with indices Dst and AL restore an instantaneous image of the high- 41
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