This paper presents a comparison between Kalman filter and the running DFT for the computation of harmonics in power systems applications. The performance of both filters is compared for events like voltage dips or those in which a decaying DC component is present. The comparison considers also the presence of higher order harmonics. Key-Words: Digital filters, Harmonic analysis, Kalman filteri...

Figure 1 compares our mixture of spherical Gaussians (SG) basis to spherical harmonics (SH) and zonal harmonics (ZH) [Sloan et al. 2005]. A simple 2-lobe fit with our basis provides good accuracy; error decreases further with more lobes. Asymptotic error decrease in our model compares favorably with increasing order of spherical harmonics and with increasing order and number of lobes in the ZH ...

We use a Bayesian framework to detect periodic components in fMRI data. The resulting detector is sensitive to periodic components with a flexible number of harmonics and with arbitrary amplitude and phases of the harmonics. It is possible to detect the correct number of harmonics in periodic signals even if the fundamental frequency is beyond the Nyquist frequency. We apply the signal detector...