Generation of Random Signals in Control Units and Systems Research

Authors: Lobusov Ye.S., Tuong Hoang Manh Published: 15.06.2016
Published in issue: #3(108)/2016  
DOI: 10.18698/0236-3933-2016-3-102-113

Category: Informatics, Computer Engineering and Control | Chapter: System Analysis, Control, and Information Processing  
Keywords: random process, forming filter, approximation, spectral density

The article deals with the problems of generating stationary signals with desired characteristics of the spectral density. For that purpose, the resulting signal is represented as a sum of the following type x(t)sin(ωsmt + φ) + y(t)cos(ωsmt + φ). If we compare this expression with the well-known ones, we can see its distinctive feature: x(t) and y(t) are independent random piecewise-linear processes, they are formed by the signals from random number generators. Spectral density the signal of this type is well approximated by triangles. This way of approximation reflects peaks existence in real spectral density characteristics which becomes apparent in different frequencies. In general it gives a good opportunity to make approximation of initial spectral density by the set of such triangles. Furthermore, unlike the wide spread forming filter approach, in the case under consideration it is possible to avoid transient responses and begin to generate the proper random signal. Applying the traditional approach we make the comparison of spectral density modeling results with the explicit peak using the forming filter and relying on the proposed method. Moreover, we show a possible approximation of the real record of the transport machine vibration acceleration.


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