A new method for the numerical analysis of nonstationary signals

Computer Science – Numerical Analysis

Scientific paper

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Computerized Simulation, Geomagnetic Pulsations, Numerical Analysis, Signal Analysis, Spectral Energy Distribution, Frequency Response, Power Spectra, Signal To Noise Ratios, Spectrum Analysis, Time Response, Very Low Frequencies, White Noise, Windows (Intervals)

Scientific paper

The paper proposes a modified moving-window method for analyzing non-stationary signals in the frequency-time domain. The method is based on the determination of the position of the center of gravity of the signal power within the given time and frequency resolution of the moving filter. The method is studied in relation to the phase information which is contained in conventional power spectrum analysis and to instantaneous frequency and group time delay. The method is applied to the following cases: reconstitution of a given frequency-time law, addition of noise to a pure signal, signals with crossing frequencies, and a frequency law of naturally occurring signals (analysis of a pearl-type pulsation event at Heard Island, Indian Ocean).

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