Physics of auroral phenomena : proceedings of the 37th Annual seminar, Apatity, 25 - 28 February, 2014 / [ed. board: A. G. Yahnin, N. V. Semenova]. - Апатиты : Изд-во Кольского научного центра РАН, 2014. - 125 с. : ил., табл.

В. V. Kozelov 6. Conclusions The report presents basic definitions of mathematical morphology and illustrates the main operations by elementary examples. Dataset with two hidden periodicities, trend and random noise was used as a typical test case for analysis. The procedure for obtaining the integrated MM spectrum for this dataset has been described. The spectrum has been compared with results obtained by other known numerical methods: windowed Fast Fourier Transformation and Maximum Entropy Method. It is shown that the MM method gives the best results: both main periods in the test dataset are perfectly located, while other methods have known problems with location of long period. Then we show an example of application of the MM methods to obtain characteristics of pulsating auroral arcs. It is shown that: i) there are two separated band of pilsations of periods 2-3 seconds and 8-9 seconds; ii) the shorter periods are more often observed at poleward boundary of the aurora region. Acknow ledgements. The work was supported by the Program No 22 of the Presidium of the Russian Academy of Sciences (RAS). References Serra J. Image analysis and mathematical morphology // Academic Press, London - 1982. Обработка и анализ изображений в задачах машинного зрения: курс лекций и практических занятий. - М.: Физматкнига, 2010. - 672 с. Пытьев Ю.П., Чуличков А.И. Методы морфологического анализа изображений. - М.: ФИЗМАТЛИТ, 2010 .-336 с. Kozelov B.V., Pilgaev S.V., Borovkov L.P., Yurov V.E., Multi-scale auroral observations in Apatity: winter 2010-2011, Geosci. Instrum. Method. Data Syst., 1, 1-6, 2012, www.geosci-instrum-method- data-syst.net/1/1/2012/ doi: 10.5194/ gi-1-1-2012. 45