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

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arxiv 2406.01138 v1 pith:ZJ726ALX submitted 2024-06-03 eess.SP cs.ITmath.IT

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

classification eess.SP cs.ITmath.IT
keywords identifiabilityrandomaccessactivitydetectiongrant-freephasetransition
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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.

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