Hilbert transform and its applications to biology

In chronobiology, the estimation of phase dynamics is important for measuring period and phase shift. However, it is difficult to precisely estimate the phase from time-series data when the frequency and the amplitude are nonstationary. Hilbert transform has been known as a signal processing method for decomposing time-series into the phase and the amplitude dynamics. This method allows us to analyze the phase from nonstationary time-series data. In this talk, I would like to introduce the basic concept of Hilbert transform and a few examples of its applications.