The paper presents a method for decomposing a signal into components of a known shape in the form of N- and U-waves obtained by partial reflection of infrasound from thin inhomogeneous layers of the atmosphere. A mathematical model of the signal is proposed as the sum of incoming waves with different amplitudes and phases, as well as random noise. The completeness of the system of functions consisting of such waves is shown. The method allows to separate components of a known shape from the signal and determine their parameters. The proposed method can be used to search for components of arbitrary shape in the signal.
43.28.-g Aeroacoustics and atmospheric sound
43.28.+h Aeroacoustics and atmospheric sound
$^1$A.M. Obukhov Institute of Atmospheric Physics RAS
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