Efficient Information Geometry Approach for Massive MIMO-OFDM Channel Estimation

Fuente: arXiv
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Main Authors: Yang, Jiyuan, Chen, Yan, Fan, Mingrui, Lu, An-An, Zhong, Wen, Gao, Xiqi, You, Xiaohu, Xia, Xiang-Gen, Slock, Dirk
Format: Preprint
Published: 2024
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author Yang, Jiyuan
Chen, Yan
Fan, Mingrui
Lu, An-An
Zhong, Wen
Gao, Xiqi
You, Xiaohu
Xia, Xiang-Gen
Slock, Dirk
author_facet Yang, Jiyuan
Chen, Yan
Fan, Mingrui
Lu, An-An
Zhong, Wen
Gao, Xiqi
You, Xiaohu
Xia, Xiang-Gen
Slock, Dirk
contents We investigate the channel estimation for massive multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems. We revisit the information geometry approach (IGA) for massive MIMO-OFDM channel estimation. By using the constant magnitude property of the entries of the measurement matrix, we find that the second-order natural parameters of the distributions on all the auxiliary manifolds are equivalent to each other, and the first-order natural parameters are asymptotically equivalent to each other at the fixed point. Motivated by these results, we simplify the process of IGA and propose an efficient IGA (EIGA) for massive MIMO-OFDM channel estimation, which allows efficient implementation with fast Fourier transformation (FFT). We then establish a sufficient condition of its convergence and accordingly find a range of the damping factor for the convergence. We show that this range of damping factor is sufficiently wide by using the specific properties of the measurement matrices. Further, we prove that at the fixed point, the a posteriori mean obtained by EIGA is asymptotically optimal. Simulations confirm that EIGA can achieve the optimal performance with low complexity in a limited number of iterations.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02035
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient Information Geometry Approach for Massive MIMO-OFDM Channel Estimation
Yang, Jiyuan
Chen, Yan
Fan, Mingrui
Lu, An-An
Zhong, Wen
Gao, Xiqi
You, Xiaohu
Xia, Xiang-Gen
Slock, Dirk
Information Theory
We investigate the channel estimation for massive multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems. We revisit the information geometry approach (IGA) for massive MIMO-OFDM channel estimation. By using the constant magnitude property of the entries of the measurement matrix, we find that the second-order natural parameters of the distributions on all the auxiliary manifolds are equivalent to each other, and the first-order natural parameters are asymptotically equivalent to each other at the fixed point. Motivated by these results, we simplify the process of IGA and propose an efficient IGA (EIGA) for massive MIMO-OFDM channel estimation, which allows efficient implementation with fast Fourier transformation (FFT). We then establish a sufficient condition of its convergence and accordingly find a range of the damping factor for the convergence. We show that this range of damping factor is sufficiently wide by using the specific properties of the measurement matrices. Further, we prove that at the fixed point, the a posteriori mean obtained by EIGA is asymptotically optimal. Simulations confirm that EIGA can achieve the optimal performance with low complexity in a limited number of iterations.
title Efficient Information Geometry Approach for Massive MIMO-OFDM Channel Estimation
topic Information Theory
url https://arxiv.org/abs/2401.02035