Group Information Geometry Approach for Ultra-Massive MIMO Signal Detection

Fuente: arXiv
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Autores principales: Yang, Jiyuan, Chen, Yan, Gao, Xiqi, Xia, Xiang-Gen, Slock, Dirk
Formato: Preprint
Publicado: 2024
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author Yang, Jiyuan
Chen, Yan
Gao, Xiqi
Xia, Xiang-Gen
Slock, Dirk
author_facet Yang, Jiyuan
Chen, Yan
Gao, Xiqi
Xia, Xiang-Gen
Slock, Dirk
contents We propose a group information geometry approach (GIGA) for ultra-massive multiple-input multiple-output (MIMO) signal detection. The signal detection task is framed as computing the approximate marginals of the a posteriori distribution of the transmitted data symbols of all users. With the approximate marginals, we perform the maximization of the {\textsl{a posteriori}} marginals (MPM) detection to recover the symbol of each user. Based on the information geometry theory and the grouping of the components of the received signal, three types of manifolds are constructed and the approximate a posteriori marginals are obtained through m-projections. The Berry-Esseen theorem is introduced to offer an approximate calculation of the m-projection, while its direct calculation is exponentially complex. In most cases, more groups, less complexity of GIGA. However, when the number of groups exceeds a certain threshold, the complexity of GIGA starts to increase. Simulation results confirm that the proposed GIGA achieves better bit error rate (BER) performance within a small number of iterations, which demonstrates that it can serve as an efficient detection method in ultra-massive MIMO systems.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02616
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Group Information Geometry Approach for Ultra-Massive MIMO Signal Detection
Yang, Jiyuan
Chen, Yan
Gao, Xiqi
Xia, Xiang-Gen
Slock, Dirk
Information Theory
We propose a group information geometry approach (GIGA) for ultra-massive multiple-input multiple-output (MIMO) signal detection. The signal detection task is framed as computing the approximate marginals of the a posteriori distribution of the transmitted data symbols of all users. With the approximate marginals, we perform the maximization of the {\textsl{a posteriori}} marginals (MPM) detection to recover the symbol of each user. Based on the information geometry theory and the grouping of the components of the received signal, three types of manifolds are constructed and the approximate a posteriori marginals are obtained through m-projections. The Berry-Esseen theorem is introduced to offer an approximate calculation of the m-projection, while its direct calculation is exponentially complex. In most cases, more groups, less complexity of GIGA. However, when the number of groups exceeds a certain threshold, the complexity of GIGA starts to increase. Simulation results confirm that the proposed GIGA achieves better bit error rate (BER) performance within a small number of iterations, which demonstrates that it can serve as an efficient detection method in ultra-massive MIMO systems.
title Group Information Geometry Approach for Ultra-Massive MIMO Signal Detection
topic Information Theory
url https://arxiv.org/abs/2409.02616