Spatially-Coupled Constant-Weight Code for Random Access in Fast Fading Channels

In this letter, we propose a novel signature code, spatially-coupled (SC) constant-weight (CW) code, for random access in fast fading channels. Concretely, first, the spatial coupling base matrix is constructed with coupling width <inline-formula> <tex-math notation="LaTeX">\om...

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Bibliographic Details
Published in:IEEE communications letters Vol. 29; no. 11; pp. 2601 - 2605
Main Authors: Lu, Shuai, Zheng, Jianping
Format: Journal Article
Language:English
Published: New York IEEE 01.11.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Approximation algorithms
Channels
Codes
Coherence
constant-weight codes
Coupling
Couplings
Fading
Fading channels
Fast fading
generalized approximate message passing algorithm
Hamming distances
Message passing
On off patterns
Random access
Receiving antennas
Sensors
Sparse matrices
spatial coupling
Vectors
ISSN:1089-7798, 1558-2558
Online Access:Get full text
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Summary:In this letter, we propose a novel signature code, spatially-coupled (SC) constant-weight (CW) code, for random access in fast fading channels. Concretely, first, the spatial coupling base matrix is constructed with coupling width <inline-formula> <tex-math notation="LaTeX">\omega </tex-math></inline-formula> and uniform coupling strength, and one CW mother code is partitioned into <inline-formula> <tex-math notation="LaTeX">\omega </tex-math></inline-formula> subcodes. Then, the SC-CW signature code matrix is obtained by replacing all the <inline-formula> <tex-math notation="LaTeX">\omega </tex-math></inline-formula> non-zero entries in each column of the base matrix with the <inline-formula> <tex-math notation="LaTeX">\omega </tex-math></inline-formula> subcodes. Taking the CW code constructed recently based on the on-off pattern of the binary subspace chirps as the mother code, the generated SC-CW code inherits the CW and low fading coherence properties of the mother code. Moreover, the recent SC generalized approximate message passing algorithm was utilized to identify the active users with tailored input and output denoising functions. Finally, simulation results show that the proposed SC-CW code can achieve better performance than the conventional CW code.
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ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2025.3604947