Time-varying periodicities are commonly observed in biological time series.
In this paper, we discuss three different algorithms to detect and quantif
y change In periodicity. Each technique uses a sliding window to estimate p
eriodic components in short subseries of a longer recording. The three tech
niques we utilize are based on: 1) standard Fourier spectral estimation; 2)
an information theoretic adaption of linear (autoregressive) modeling; and
3) geometric properties of the embedded time series. We compare the result
s obtained from each of these methods using artificial data and experimenta
l data from swine ventricular fibrillation (VF). Spectral estimates have pr
eviously been applied to VF time series to show a time-dependent trend in t
he dominant frequency. We confirm this result by showing that the dominant
period of VF, following onset, first decreases to a minimum and then rises
to a plateau. Furthermore, our algorithms detect longer period correlations
which may indicate the presence of additional periodic oscillations or mor
e complex nonlinear structure. We show that in general this possibly nonlin
ear structure is most apparent immediately after the onset of VF.