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Abstract: The article considers the improved method of spectral analysis. The task of spectral analysis is to find the parameters of random signals, the parameters of the model used, which is selected on the basis of available a priori information about the process under study. An improved method of spectral analysis is proposed, which uses a partially classical Proni method. This method has been improved by replacing the damping sine wave with the use of a non-damping sine wave. Replacing the attenuating sine wave with a non-damping sine wave allows you to very accurately isolate the signal and determine its characteristics against the background of very rich interference in the airspace, against the background of radios that operate legally. For the first time, a fast conversion algorithm was used to solve normal equations to find variables for sequentially determining the parameters of random short-term signals, such as amplitude, frequency, and phase. It is proposed to determine not only static parameters but also the rate of change of these parameters. The rate of change of parameters allows defining more accurately a signal of means of silent reception of information.
The simulation of the processes of determining random short-term pulses that simulate digital signals of silent information reception, based on the proposed method of spectral analysis, the simulation results are presented in the form of three-dimensional graphs.
The main difference is the use of not only the analysis of the amplitude, frequency, phase, and spectrum of the signal but also the basic analysis of the spectral density of the signal.
Analysis of the simulation results fully confirms the advantages of the proposed method for determining random short-term pulses.
Keywords: spectral density, model, spectrum, approximation, digital signals.
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1.Introduction
Recently, there has been an increasing interest in parametric spectral analysis methods, especially when classical methods based on the use of the Fourier transform do not provide the necessary accuracy. This situation occurs either in the small signal-to-noise ratio or in the small interval of observation of the process under study. In the latter case, in order to improve the accuracy of the spectral density determination, it is necessary to use a priori information about the behavior of the investigated process outside the observation...