Binary Representation of Signal Constellations and its Use for Analyzing Modulated Signals

An analytical method is proposed for describing signal constellations in the form of a functional dependence on a multidimensional vector of binary variables. A transformation is given that allows one to move from the traditional tabular description of modulated signals to the proposed analytical de...

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Veröffentlicht in:Journal of communications technology & electronics 2023-12, Vol.68 (Suppl 3), p.S284-S293
Hauptverfasser: Bakulin, M. G., Ben Rejeb, T. B. K., Kreindelin, V. B., Pankratov, D. Yu, Smirnov, A. E.
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container_end_page S293
container_issue Suppl 3
container_start_page S284
container_title Journal of communications technology & electronics
container_volume 68
creator Bakulin, M. G.
Ben Rejeb, T. B. K.
Kreindelin, V. B.
Pankratov, D. Yu
Smirnov, A. E.
description An analytical method is proposed for describing signal constellations in the form of a functional dependence on a multidimensional vector of binary variables. A transformation is given that allows one to move from the traditional tabular description of modulated signals to the proposed analytical description. The method makes it possible to more compactly describe signals modulated by digital information, especially with a high modulation order, and to identify some patterns in known modulation methods and extend them to higher order modulations. An analytical description of signal constellations makes it possible to synthesize new demodulation algorithms for various communication systems. Simple examples show the advantages of the proposed approach over traditional methods based on tabular representation of signals.
doi_str_mv 10.1134/S1064226923120045
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subjects Algorithms
Communications Engineering
Communications systems
Demodulation
Engineering
Mathematical analysis
Modulation
Networks
Representations
Theory and Methods of Signal Processing
title Binary Representation of Signal Constellations and its Use for Analyzing Modulated Signals
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