Precise Analysis of Covariance Identifiability for Activity Detection in Grant-Free Random Access

Fuente: arXiv
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Autori principali: Luo, Shengsong, Ma, Junjie, Xu, Chongbin, Wang, Xin
Natura: Preprint
Pubblicazione: 2024
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author Luo, Shengsong
Ma, Junjie
Xu, Chongbin
Wang, Xin
author_facet Luo, Shengsong
Ma, Junjie
Xu, Chongbin
Wang, Xin
contents We consider the identifiability issue of maximum likelihood based activity detection in massive MIMO based grant-free random access. A prior work by Chen et al. indicates that the identifiability undergoes a phase transition for commonly-used random signatures. In this paper, we provide an analytical characterization of the boundary of the phase transition curve. Our theoretical results agree well with the numerical experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2406_01138
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Precise Analysis of Covariance Identifiability for Activity Detection in Grant-Free Random Access
Luo, Shengsong
Ma, Junjie
Xu, Chongbin
Wang, Xin
Signal Processing
Information Theory
We consider the identifiability issue of maximum likelihood based activity detection in massive MIMO based grant-free random access. A prior work by Chen et al. indicates that the identifiability undergoes a phase transition for commonly-used random signatures. In this paper, we provide an analytical characterization of the boundary of the phase transition curve. Our theoretical results agree well with the numerical experiments.
title Precise Analysis of Covariance Identifiability for Activity Detection in Grant-Free Random Access
topic Signal Processing
Information Theory
url https://arxiv.org/abs/2406.01138