From the rough idea sketched in (1.7), it can be expected that we need some kind of smoothness assumptions on [PHI] (e.g., [PHI] has to be differentiable or at least Lipschitz continuous in order to allow the last step in (1.7))-this will turn out to appear in the form of a smoothness condition on the
autocorrelation function in the vicinity of its maximum.
Figure 2 shows the intensity
autocorrelation function and the [d.sup.app.sub.h] distribution obtained for the particles after redispersion in water.
Figure 3 shows the generation process of an unambiguous
autocorrelation function for the BOC sequence.
Cyclostationarity properties are investigated in terms of cyclic
autocorrelation function (CAF) and spectral correlation density (SCD) function.
The
autocorrelation function of a time series (ACF) is described as Eq.5 (Shumway and Stoffer, 2006).
--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),
The
autocorrelation function curves of the maintained component are shown in Figure 8.
The
autocorrelation function of a maximum length C/A code consists of an infinite sequence of triangular function, as shown in Figures 1 and 2 for both L1 and L5, respectively.
The chaotic behavior found in Figure 10 is confirmed in Figure 12 which presents the
autocorrelation function of the outputs x(t), y(t), z(t), and w(t) of the corresponding phase portraits of fractional-order system (8) depicted in Figure 10.
(b)
Autocorrelation Function (ACF) that captures common dependencies between frame sizes in VBR video.
where F{.} is the Fourier Transform; a is the cyclic frequency and Cax (t) is the Cyclic
Autocorrelation Function (CAF) of x, defined in Eq.