[1] The influence of ultralow frequency (ULF) waves in the Pc5 frequency range on radiation belt electrons in a compressed dipole magnetic field is examined. This is the first analysis in three dimensions utilizing model ULF wave electric and magnetic fields on the guiding center trajectories of relativistic electrons. A model is developed, describing magnetic and electric fields associated wit...

The hybrid method presented in this paper, is based on the inverse of the belonging joint probability (IBJP) and the power spectral density (PSD) to detect new anomalous in a random signal representing normal state behavior of a given machine. We first compute the power spectral density (PSD) of the normal state signal and then represent this PSD signal by an adequate Gaussian white noise (GWN)...

Let X(t) (t Z) be a discrete stable random field. The problem of estimating the spectral density field based on X(t) is considered. Moments and the asymptotic moments of the spectral sample, the periodogram, based on X(t) are calculated.

A multichannel extension of the AR matrix prewhitened power spectral density estimator, which was originally developed for a single channel, is proposed. In order to make the extension, the Cholesky decomposition of the inverse autocorrelation matrix for a multichannel autoregressive process is discussed and the autoregressive model order selection for a multichannel process based on the expone...