Maximum likelihood parameter estimation of suddenly-commencing equatorial Pi2 pulsations

Computer Science

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Equatorial Regions, Fir Filters, Geomagnetic Micropulsations, Maximum Likelihood Estimates, Ground Stations, Plasmasphere, Root-Mean-Square Errors, Spectral Methods

Scientific paper

The data sequence is assumed to be an output from a finite impulse response filter with a superposition of suddenly-commencing, exponentially damped sinusoids as an input. A maximum likelihood (ML) method is proposed to estimate the parameters of the damped sinusoids directly from the filtered data. Equatorial Pi2 pulsations are guessed to be such a superposition. In addition, since the signal-to-noise ratio is improved and the undesired components are rejected by filtering, the filtered data is usually analyzed. The proposed ML method is a new one for spectral estimation. The ML method was applied to an equatorial Pi2 event which was observed simultaneously at two stations, and evidence to strongly support the suggestion of the global cavity resonance mode of Pi2 waves was found in the event. That is, the Pi2 showed a very similar discrete spectral structure, despite a large longitudinal separation of the stations. By means of the proposed ML method, more detailed and precise discussions on Pi2 pulsations than expected from the customary data analysis methods, will become possible.

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