The "'partially bent functions "'form a large class defined by a condition on the Walsh transform and autocorrelation functions.
32.
Thus data from an asymmetric tent map cannot be distinguished, using the autocorrelation function, from data generated by a first-order autoregressive process.
33.
To fit the decay ( i . e ., the autocorrelation function ), numerical methods are used, based on calculations of assumed distributions.
34.
It is important to realize that the signal is concentrated in both space and time ( in many applications, autocorrelation functions are functions of time only ).
35.
Higher-Order Statistics ( HOS ) measures are extensions of second-order measures ( such as the autocorrelation function and power spectrum ) to higher orders.
36.
In this he pointed out that, in a linear system, the decay function was directly proportional to the autocorrelation function of the corresponding fluctuating macroscopic variable.
37.
According to the generalized Wiener Khintchine theorem, the autocorrelation function of the light field is given by the Fourier transformation of the spectral density-equation 2:
38.
In the estimation of a moving average model ( MA ), the autocorrelation function is used to determine the appropriate number of lagged error terms to be included.
39.
The power spectrum S _ { \ text { XX } } ( f ) of a signal is related to the its autocorrelation function by a Fourier transform:
40.
The identification stage involves identifying if the series is stationary or not and the presence of seasonality by examining plots of the series, autocorrelation and partial autocorrelation functions.
