High resolution frequency-time analysis of whistlers using digital matched filtering. I - Theory and simulation studies

Physics

Scientific paper

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Digital Filters, Matched Filters, Signal Analysis, Whistlers, Frequency Response, High Resolution, Random Noise, Sonograms, Time Response

Scientific paper

The method of digital matched filtering of whistlers for the frequency-time resolution of sonograms is described along with its application to simulated and measured whistlers. Emphasis is placed on the highly accurate determination of the arrival times of individual whistler frequencies and the separation of closely spaced whistler components. For reasonable values of the input signal-to-noise ratio, and the filter lengths, the rms accuracy in the determination of the arrival time of a single whistler at a given frequency by matched filtering is on the order of 10 to the minus second of 10 to the minus first ms. This value is more than an order of magnitude better than the accuracy of scaling from analog spectrograms.

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