The Component-Interleaved Golden Code and Its Low-Complexity Detection

In this paper, component interleaving for the Golden code is investigated. The proposed component-interleaved Golden code (CI-Golden code) not only preserves the full rate and full diversity of the conventional Golden code, but also achieves signal space diversity. The maximum-likelihood detection c...

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Main Authors: Hongjun Xu, Narushan Pillay
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9044868/
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author Hongjun Xu
Narushan Pillay
author_facet Hongjun Xu
Narushan Pillay
author_sort Hongjun Xu
collection DOAJ
description In this paper, component interleaving for the Golden code is investigated. The proposed component-interleaved Golden code (CI-Golden code) not only preserves the full rate and full diversity of the conventional Golden code, but also achieves signal space diversity. The maximum-likelihood detection complexity of the CI-Golden code is proportional to $\mathcal {O}(M^{8})$ for $M$ -ary quadrature amplitude modulation ($M$ QAM) and is extremely high. Hence, two low-complexity detection schemes, a QR decomposition-based detection scheme and sphere decoding with detection subset, are proposed. Furthermore, the bound on average bit error probability (ABEP) for the $M$ QAM CI-Golden code, which is valid for more than 2 receive antennas is formulated. Simulation results show that the two proposed low-complexity detection schemes can converge to the ABEP for more than two receive antennas. Both the ABEP and simulation results show that the proposed CI-Golden code with three and four receive antennas can achieve a signal-to-noise ratio gain of more than 1.6 dB at a bit error rate of $1\times 10^{-5}$ for 16QAM and 64QAM, respectively, compared to the conventional Golden code. The computational complexity for the proposed schemes is further discussed.
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spelling doaj.art-126203f12f2942219115e820f98c64e42022-12-21T22:54:48ZengIEEEIEEE Access2169-35362020-01-018595505955810.1109/ACCESS.2020.29826739044868The Component-Interleaved Golden Code and Its Low-Complexity DetectionHongjun Xu0https://orcid.org/0000-0002-5768-1965Narushan Pillay1https://orcid.org/0000-0002-2494-1855School of Engineering, University of KwaZulu-Natal, Durban, South AfricaSchool of Engineering, University of KwaZulu-Natal, Durban, South AfricaIn this paper, component interleaving for the Golden code is investigated. The proposed component-interleaved Golden code (CI-Golden code) not only preserves the full rate and full diversity of the conventional Golden code, but also achieves signal space diversity. The maximum-likelihood detection complexity of the CI-Golden code is proportional to $\mathcal {O}(M^{8})$ for $M$ -ary quadrature amplitude modulation ($M$ QAM) and is extremely high. Hence, two low-complexity detection schemes, a QR decomposition-based detection scheme and sphere decoding with detection subset, are proposed. Furthermore, the bound on average bit error probability (ABEP) for the $M$ QAM CI-Golden code, which is valid for more than 2 receive antennas is formulated. Simulation results show that the two proposed low-complexity detection schemes can converge to the ABEP for more than two receive antennas. Both the ABEP and simulation results show that the proposed CI-Golden code with three and four receive antennas can achieve a signal-to-noise ratio gain of more than 1.6 dB at a bit error rate of $1\times 10^{-5}$ for 16QAM and 64QAM, respectively, compared to the conventional Golden code. The computational complexity for the proposed schemes is further discussed.https://ieeexplore.ieee.org/document/9044868/Component-interleaved Golden codedetection subsetGolden codefast essentially maximum-likelihood detectionQR decomposition-based detectionsignal space diversity
spellingShingle Hongjun Xu
Narushan Pillay
The Component-Interleaved Golden Code and Its Low-Complexity Detection
IEEE Access
Component-interleaved Golden code
detection subset
Golden code
fast essentially maximum-likelihood detection
QR decomposition-based detection
signal space diversity
title The Component-Interleaved Golden Code and Its Low-Complexity Detection
title_full The Component-Interleaved Golden Code and Its Low-Complexity Detection
title_fullStr The Component-Interleaved Golden Code and Its Low-Complexity Detection
title_full_unstemmed The Component-Interleaved Golden Code and Its Low-Complexity Detection
title_short The Component-Interleaved Golden Code and Its Low-Complexity Detection
title_sort component interleaved golden code and its low complexity detection
topic Component-interleaved Golden code
detection subset
Golden code
fast essentially maximum-likelihood detection
QR decomposition-based detection
signal space diversity
url https://ieeexplore.ieee.org/document/9044868/
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