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Signal Identification by Means of Cross-Correlation Function

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Submitted: 2026-07-20
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

To estimate the input function on the correlator with high accuracy, the use of a rectangular pulse with varying position has been proposed. We used distribution functions in the form of a rectangular pulse, a pulse with a cosine vertex, a triangular and Gaussian pulse. Cross-correlation functions of all considered signals are represented by the Boltzmann model. Considered all the above signals, given 3,5,7,9,11,13,15 counts. It is shown that by differentiating the obtained dependences, it is possible to identify the studied signals and it is shown that the types of input and reconstructed signals coincide

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