This article presents the rolling bearing fault diagnosis based on the combination of optimal Morlet and
autocorrelation; an optimal Morlet function is applied to the raw vibration signal as a band-pass filter to reduce the signal to noise ratio.
The constraints used in the program include: the image must be real, positive, have values smaller than 255, centered in a square the dimension of the estimated kernel; all of these with an epsilon tolerance, directly proportional to the level of noise in the estimated
autocorrelation. The tolerance is needed because with the noise the exact restrictions cannot be met.
Wherein: [tau] is the delay time of
autocorrelation function; T is the value of time span.
The Lag 1
autocorrelation equal to 0.59 is obtained by calculating the correlation of columns B and C (between [y.sub.t] and [y.sub.t-1]) that appear in Figure 2.
While local indicators of spatial
autocorrelation identified 19 statistically significant districts.
In this paper, we introduce two new tests, the
autocorrelation test, and the LLR GoF test.
For the non-seasonal pattern, the
autocorrelation seems to cut off after lag1, which indicates moving average term MA behavior for the first difference series.
Caption: Figure 6:
Autocorrelation and cross-correlation functions.
The
autocorrelation methods are based on the characteristics of the multiple
autocorrelation peaks of the BOC signal.
Another goal is to analyze the spatial
autocorrelation characteristics of aviation accidents and to determine whether aviation accidents have spatial aggregation trends.
Equation 1 accounts for the presence of
autocorrelation (also known as serial correlation) in the data through the term n', which indicates the effective number of data points.
In order to assess the spatial
autocorrelation in the elevational gradient of the El Triunfo, we generated spatial correlograms for alpha diversity and elevation using Moran's I coefficients at 8 elevational classes (SAAP 4.3; Wartenberg, 1989).
