Correlation Functions Application Effect on Periodic Pulse Signal with Harmonic Elements
DOI:
https://doi.org/10.31649/1997-9266-2023-169-4-46-53Keywords:
correlation functions, discrete signal, periodic pulse signal, signal processingAbstract
Discrete signal processing is a core function for most low-level processes in digital elements of computer systems. Typical task of such processing is allocation of informative components, reduction of the impact of noise and distortions caused by various factors, and nonlinearity compensation of sensors and hardware components characteristics of digital computer systems, etc.
Within the limits of this article characteristic features of correlation processing of periodic pulse signals with harmonic components was reviewed, experiment regarding the effectiveness of their detection in case of presence of additive effects of noise was carried out . Aspects of reference fragments formation , based on the experimentally obtained set of signals are considered . Conducted research includes development of the algorithm for the allocation of the typical fragments from the set of signals , formation of the template, based on the known mathematical tools . The processes, algorithms, and analytical expressions used for the formation of the reference signals, research and evaluation of the effectiveness of signal processing are provided.
Main criterion for the comparison of the efficiency of usage of various correlation functions was selected the change of the assessment of signal energy to noise energy ratio for the input signals and their correlation signals. The research results show the impact of the algorithms of reference signal formation, and changing the number of pre-allocated signal fragments on correlation functions in case processing of discrete periodic pulse signals with harmonic components.
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