Multi-Fractal Analysis of the Acoustic Ultra-Wideband Signal Caused by the Chelyabinsk Meteoroid

Abstract

According the non-linear paradigm, all processes in open, non-linear, dynamical systems are appeared to be very complex, non-linear, ultra-wideband or fractal. Powerful ultrawideband acoustic signal generated by the Chelyabinsk meteoroid fall and registered by the Antarctic infra-sound station is namely one of them. Having strictly non-linear nature, this signal may have mono-fractal or multi-fractal properties. To investigate them, some modern methods of mono-fractal and multi-fractal analyzes are applied. Being the rare natural ultra-wideband process, the acoustic signal generated by the Chelyabinsk meteoroid fall was found to be complex, non-stationary multi-fractal. The set of the corresponding numerical parameters for this signal is estimated and discussed.