We analyzed in vitro LFP data with custom-written Igor Pro scripts and the Time-Frequency Toolkit (http://www.igorexchange.com/project/TFPlot). Discrete fast Fourier transforms (FFTs) were performed on 10 s of LFP data and oscillation power (area under the curve) was integrated at different frequencies (θ=4 7 Hz; α=8 12 Hz; β=13 29 Hz; γ=30 80 Hz).
Next, a discrete fast Fourier transform is conducted on both of them as.
In order to tackle high computational demands of the method, the discrete fast Fourier transform is used (Fullwood et al. 2008).
A generic calculation scheme is developed for the discrete fast Fourier transform (DFT) and then applied to other integral transforms such as the discrete Hartley transform (DHT), the discrete cosine transform (DCT), and the discrete sine transform (DST).
Assuming the time t a it is observed that received SAR signal s(t r, t a ) is to be measured at the discrete fast-time sample t r, t r = 0,1,...,M-1 and t a is the discrete aperture (slow-time) samples, t a = 0,1,...,N-1.
The amplitude spectra were calculated for each complete stimulus image, including the outline of the surface and the central part (15.4°×15.4°) of the background, using a 2D discrete fast Fourier transform (MATLAB).
For this, a discrete fast Fourier transform was calculated on a sliding window of ∼1.5 s with consecutive sliding windows overlapping by 50%.
Global tolerances of the oscillatory phenotype are determined by numerical continuation in combination with a discrete fast Fourier transform using the numpy.fft algorithm in the NumPy library version 1.6.2.
The amplitude spectra were calculated for each complete stimulus image, including the outline of the surface and the central part (15.4° x 15.4°) of the background, using a 2D discrete fast Fourier transform (MATLAB).
Orthodox Christians generally observe three fasting seasons during the year besides Great Lent; many also observe most Wednesdays and Fridays as discrete days of fasting throughout the year.
