Cyclostationarity properties are investigated in terms of cyclic autocorrelation function
(CAF) and spectral correlation density (SCD) function.
column 8 includes a name of the file with a stored autocorrelation function
of standard binary sequence for a given transmission system (this function is used during the test of hypothesis with zero correlation coefficient between the bit autocorrelation function
of the binary sequence analysed and standard bit autocorrelation function
of binary sequence for the system with the name entered in column 1),
Calculate the autocorrelation function
of x(n) as in Eq.
With the increasing of the order and the offsets of the local autocorrelation function
, the number of extracted features is increasing rapidly.
Based on the tailing or truncated characteristics of the autocorrelation function
and partial autocorrelation function
, the acceleration signal data in Figure 2 can be treated and modeled with the time series model method.
3) which coincides with a Barker code: the autocorrelation function
(ACF) for Barker code of N = 7 length is shown in Fig.
It is known (Hyndman and Athanasopoulos, 2013) that the process is ARMA(p,0) at p>0 if the ACF drops down exponentially or sinusoidally and the partial autocorrelation function
(PACF) has a significant spike at p, and that the process is ARMA(0,q) at q>0 if the PACF drops down exponentially or sinusoidally and the ACF has a significant spike at q.
When examining the amplitude of the autocorrelation function
, we observed an increase in the amplitude with increasing concentration of small molecules.
The sample autocorrelation function
(ACF) of lag k, (r.
Another commonly used method for determining the delay parameter is the autocorrelation function
In addition, the Fourier transform analysis [the radial power spectral density (PSD) function and the radially averaged autocorrelation function
(ACF)] and MFs were applied for scanned areas of 1 and 4 [micro][m.
Error terms were assessed graphically for autocorrelation by analyzing autocorrelation function
chart and the partial autocorrelation chart if warranted.