Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment

This paper explores selection diversity in the context of MIMO 3-user interference channels with interference alignment (IA), focusing on enhancing reliability through diversity order (DO) analysis. While degrees of freedom (DoF) have traditionally been emphasized for throughput optimization in IA,...

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Main Authors: Dongsup Jin, Xianglan Jin
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/12/24/3877
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author Dongsup Jin
Xianglan Jin
author_facet Dongsup Jin
Xianglan Jin
author_sort Dongsup Jin
collection DOAJ
description This paper explores selection diversity in the context of MIMO 3-user interference channels with interference alignment (IA), focusing on enhancing reliability through diversity order (DO) analysis. While degrees of freedom (DoF) have traditionally been emphasized for throughput optimization in IA, limited research has addressed diversity order to improve error performance. In this work, we define a conditional DO and propose a beamforming vector selection method that achieves a conditional DO of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>M</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>, where <i>M</i> is the number of antennas per transceiver. The proposed scheme employs a two-stage decoding approach, combining zero-forcing for interference cancellation with maximum likelihood (ML) decoding for desired signal recovery, which is augmented by orthogonalization techniques. Simulations demonstrate the superiority of the proposed scheme in both error probability and conditional DO values compared to conventional IA methods, particularly in scenarios with higher antenna counts. These results provide insights into optimizing IA for enhanced reliability and form the foundation for future exploration of advanced decoding and beamforming strategies.
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spelling doaj-art-25b0fdf3f3514079a2a8d278b27a933b2025-08-20T02:50:41ZengMDPI AGMathematics2227-73902024-12-011224387710.3390/math12243877Study on Selection Diversity for MIMO 3-User Interference Channel with Interference AlignmentDongsup Jin0Xianglan Jin1Department of IT Convergence, University of Ulsan, 93, Daehak-ro, Nam-gu, Ulsan 44610, Republic of KoreaDivision of Electronic Engineering, IT Convergence Research Center, Jeonbuk National University, Jeonju 54896, Republic of KoreaThis paper explores selection diversity in the context of MIMO 3-user interference channels with interference alignment (IA), focusing on enhancing reliability through diversity order (DO) analysis. While degrees of freedom (DoF) have traditionally been emphasized for throughput optimization in IA, limited research has addressed diversity order to improve error performance. In this work, we define a conditional DO and propose a beamforming vector selection method that achieves a conditional DO of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>M</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>, where <i>M</i> is the number of antennas per transceiver. The proposed scheme employs a two-stage decoding approach, combining zero-forcing for interference cancellation with maximum likelihood (ML) decoding for desired signal recovery, which is augmented by orthogonalization techniques. Simulations demonstrate the superiority of the proposed scheme in both error probability and conditional DO values compared to conventional IA methods, particularly in scenarios with higher antenna counts. These results provide insights into optimizing IA for enhanced reliability and form the foundation for future exploration of advanced decoding and beamforming strategies.https://www.mdpi.com/2227-7390/12/24/3877degrees of freedom (DoF)diversity order (DO)interference alignment (IA)MIMO interference channelselection of beamforming vectorselection diversity
spellingShingle Dongsup Jin
Xianglan Jin
Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment
Mathematics
degrees of freedom (DoF)
diversity order (DO)
interference alignment (IA)
MIMO interference channel
selection of beamforming vector
selection diversity
title Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment
title_full Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment
title_fullStr Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment
title_full_unstemmed Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment
title_short Study on Selection Diversity for MIMO 3-User Interference Channel with Interference Alignment
title_sort study on selection diversity for mimo 3 user interference channel with interference alignment
topic degrees of freedom (DoF)
diversity order (DO)
interference alignment (IA)
MIMO interference channel
selection of beamforming vector
selection diversity
url https://www.mdpi.com/2227-7390/12/24/3877
work_keys_str_mv AT dongsupjin studyonselectiondiversityformimo3userinterferencechannelwithinterferencealignment
AT xianglanjin studyonselectiondiversityformimo3userinterferencechannelwithinterferencealignment