Optimization of the periodogram average for the estimation of the power spectral density (PSD) of weak signals in the ELF band
Manuel Fernández-Ros, José Antonio Gázquez Parra, Rosa M. García, Nuria Novas
Abstract
Manuel Fernández-Ros, José Antonio Gázquez Parra, Rosa M. García, Nuria Novas
Abstract
The frequencies between the ELF, ULF and VLF bands are widely used as indicators of the electrical activity in the atmosphere, as precursors of seismic activity and are of interest in the study of geophysical phenomena. These signal methods of analysis are varied, and among them, we find a method of averaged periodograms, which is based on the Fast Fourier Transform (FFT). In this type of analysis, the optimal number of segments to be averaged must be determined; however, there seems to be no satisfactory method for choosing them. In this paper, we provide a method that will allow us to select the optimal number of segments to be averaged.
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The frequencies between the ELF, ULF and VLF bands are widely used as indicators of the electrical activity in the atmosphere, as precursors of seismic activity and are of interest in the study of geophysical phenomena. These signal methods of analysis are varied, and among them, we find a method of averaged periodograms, which is based on the Fast Fourier Transform (FFT). In this type of analysis, the optimal number of segments to be averaged must be determined; however, there seems to be no satisfactory method for choosing them. In this paper, we provide a method that will allow us to select the optimal number of segments to be averaged.
Key concepts: Spectral density, Periodogram, Fast Fourier transform, Schumann resonances, Fourier transform, SIGNAL (programming language), Spectral analysis, Spectral density estimation