An Application of Galois Fields to Beam Alignment and Synchronization Issues in Reconfigurable Intelligent Surfaces for Future Wireless Communication Systems

International Journal of Electronics and Communication Engineering

© 2025 by SSRG - IJECE Journal

Volume 12 Issue 6

Year of Publication : 2025

Authors : Anthony T. Obidiwe, Daniel Ejike Ewim

10.14445/23488549/IJECE-V12I6P131

How to Cite?

Anthony T. Obidiwe, Daniel Ejike Ewim, "An Application of Galois Fields to Beam Alignment and Synchronization Issues in Reconfigurable Intelligent Surfaces for Future Wireless Communication Systems," SSRG International Journal of Electronics and Communication Engineering, vol. 12,  no. 6, pp. 402-412, 2025. Crossref, https://doi.org/10.14445/23488549/IJECE-V12I6P131

Abstract:

Discrete mathematical structures in number theoretic methods have been successfully applied to various electronic and communication engineering research issues. As a result, an effort has been made here to extend a number-theoretic-based model for a phased array antenna to the reflection mechanism of a Reconfigurable Intelligent Surface (RIS). The model is based on a discrete mathematical structure/finite field approach (Galois field) with the so-called Zech logarithm at the heart of the integerization/discretization process. The aim of the exercise being to propose and validate an alternative approach to handle beam alignment and synchronization issues in the application and implementation of the state of the art intelligent surfaces for Beyond Fifth Generation (B5G) and Sixth Generation (6G) wireless communications with the ultimate objective of reducing hardware complexity and cost. Several new technological paradigms are highlighted and discussed, which show promise in optimizing resources to control channel dynamics for future wireless communications. Finally, numerical analysis concerning the proposed model is carried out, and subsequent simulations verify the method’s applicability.

Keywords:

Electromagnetic waves/beams, Finite fields, Galois fields, Reconfigurable intelligent surfaces, Zech logarithm.

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