Dynamic model of the structure of the spectrum of sequences from double pulses

Abstract

A method has been developed for extracting informational spectral components from the signal under study with a minimum error arising from uncorrelated changes in the parameters of this signal by creating sequences of double pulses. A method for synthesizing a test signal is proposed, in which the spectral components used in the analysis of the parameters of this signal predominate and the spectral components adjacent to the informative one are maximally suppressed. The procedure for constructing structures from combinations of double pulse sequences is considered, equations for the amplitudes of their spectral components are obtained, and in accordance with this, the basic requirements and rules for calculating the main temporal parameters of the resulting pulse sequences are determined. The analysis of the areas of sensitivity to changes in the main parameters of the pulse sequence has been carried out. An example of obtaining a test signal with the selection of the 13th spectral component against the background of the suppression of five neighboring ones is considered, and an analysis of the measurement error associated with the instability of the main parameters of the generated pulse sequence is performed. The presented method makes it possible to organize the selection of an informative spectral component with a maximum quality factor by excluding neighboring ones and, at the same time, to increase the accuracy of measuring signal parameters by reducing the influence of the instability of its parameters, which is unattainable using modern approaches, including digital signal processing. The method can be used in the power industry when analyzing the state of operability of electrical machines, for measuring speed and distance in radar, etc.