Each of the PV(t) signals, from a ROI or a pixel in the coarse grid, is presented in one of the following ways in this paper:PVraw(t)no processing other than spatial averaging over ROI or coarse grid cell;PVAC(t)the mean over time of PVraw(t) is subtracted (= PVraw(t) minus DC); orPVBP(t)band-pass filtered PVraw(t) signal.For the band-pass (BP) filter Butterworth coefficients (4th order) were used in a phase neutral (forward and reverse) digital filter (“filtfilt” in Matlab®). Cut-off frequencies for the BP filter will be listed in the results section.
Fast Fourier transforms (“FFT“ in Matlab®) on PV(t) signals were performed to determine the power and phase spectra for PV(t). Zero padding of PV(t) prior to the Fourier transform was used to allow for a finer discretization of the frequency. We will refer to an nth order zero padding if the original signal was expanded on both sides with a 0 signal of length n times the original time span.
Plethysmographic signals are sometimes presented inverted to render the intensity proportional to blood pressure or volume. In this communication, all signals will be presented directly: a higher signal corresponds to a higher reflectance and smaller blood volume. Although we will indicate how pixel values (the basic measurement unit) relate to reflectance, all signals will be presented in pixel values.