wavelet analysis

PROGRESS AND PROSPECT OF WAVELET TRANSFORM APPLICATION TO THE ANALYSIS OF NONSTATIONARY NONLINEAR DATES IN CONTEMPORARY GEOPHYSICS

The presented paper is an analytical review of the methods and examples of applications of the continuous and discrete wavelet transform in geophysical study. The possibility of the extension of application of the wavelet­based methods in geophysics is also considered.

THE METHOD OF AUTOMATIC DIAGNOSTICS OF VARIOUS COMPONENTS OF COMPLEX SIGNALS ON THE BASE OF WAVELET TRANSFORM AS APPLIED TO GEOPHYSICS PROBLEMS

The article discusses the method of analysis and automatic diagnostics of the characteristics of various components of complex signals on digital data on the basis of continuous wavelet transformation. The results of processing of experimental data are exposed. The article shows that the offered method of single­channel continuous wavelet transformation with the subsequent analysis of instantaneous transformation energy in a certain frequency band allows tracing a zone of the registered high­intensity waves of sound and superficial type in an automatic mode.

DIAGNOSTICS AND ANALYSIS OF OSCILLATORY NEURONAL NETWORK ACTIVITY OF BRAIN WITH CONTINUOUS WAVELET ANALYSIS

In the article we present an overview of a number of continuous wavelet transform­based techniques for analysis and diagnostic of oscillatory neuronal network activity of brain in experimentally obtained  electroencephalographic data. We describe a technique for automatic detection of characteristic patterns for paroxysmal activity (spike­wave discharges) in epileptic electroencephalogram (EEG) based on wavelet spectrum power analysis, obtained with continuous wavelet transform with complex mother wavelet (Morlet) in specific frequency ranges.

ON THE PERIOD-MULTIPLYING BIFURCATION OF GLACIAL CYCLES IN THE PLIOCENE – PLEISTOCENE

In the Pliocene (about five – two million years before present) global climate fluctuated with a period corresponding well 41-thousand-year cycle of changes in the Earth’s axis inclination to the ecliptic plane. Then, this period has disappeared, despite the fact that the 41-thousand-year cycle even slightly increased its scope and, therefore, the response to it would have only strengthened. By analyzing paleoclimatic series covering the Pliocene and subsequent Pleistocene, we show that the response of the climate system simply became unstable and therefore unobservable.