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Article
Quaternion Codes in MIMO System of Dual-Polarized Antennas
Applied Sciences (Switzerland)
  • Sajid Ali, Zayed University
  • Sara Shakil Qureshi, National University of Sciences and Technology Pakistan
  • Syed Ali Hassan, National University of Sciences and Technology Pakistan
Document Type
Article
Publication Date
4-1-2021
Abstract

The use of quaternion orthogonal designs (QODs) to describe point-to-point communication among dual-polarized antennas has the potential to provide higher rate orthogonal and quasi-orthogonal complex designs exploiting polarization diversity among space and time diversities. Furthermore, it is essential to have a space time block code (STBC) which offers a linear and decoupled decoder which quasi-orthogonal designs fail to attain. In this paper, we show how the realm of quaternions unexpectedly offers us a possible solution and codes obtained from quaternion designs mostly achieve both linear and decoupled decoders. This motivated us to perform an indispensable search for QODs such that the code rate is bounded below by 1/2 and does not sharply decrease as the number of transmit antennas increases. It is shown that three famous recursive techniques do not satisfy this criteria and their code rates decrease rather rapidly. Therefore, we propose another method of constructing quaternion designs suitable for any number of transmit antennas and verify that these attain linear and decoupled decoders with the system model based on quaternionic channel. It is shown that such designs outperform others in terms of transmit diversity, code rates and the optimality of the proposed decoder is validated through simulation results.

Publisher
MDPI AG
Keywords
  • Dual-polarized antennas,
  • Maximum-likelihood decoder,
  • MIMO,
  • Quasi quaternion orthogonal designs,
  • Quaternion orthogonal designs
Scopus ID

85104079745

Creative Commons License
Creative Commons Attribution 4.0 International
Indexed in Scopus
Yes
Open Access
Yes
Open Access Type
Gold: This publication is openly available in an open access journal/series
Citation Information
Sajid Ali, Sara Shakil Qureshi and Syed Ali Hassan. "Quaternion Codes in MIMO System of Dual-Polarized Antennas" Applied Sciences (Switzerland) Vol. 11 Iss. 7 (2021) ISSN: <p><a href="https://v2.sherpa.ac.uk/id/publication/issn/2076-3417" target="_blank">2076-3417</a></p>
Available at: http://works.bepress.com/sajid-ali/5/