2021
DOI: 10.3390/e23050605
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On Compressed Sensing of Binary Signals for the Unsourced Random Access Channel

Abstract: Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix A and a recovery algorithm, such that the sparse binary vector x can be recovered reliably from the measurements y=Ax+σz, where z is additive white Gaussian noise. We propose to design A as a parity check matrix of a low-density parity-check code (LDPC) and to recover x from the measurements y using a Markov cha… Show more

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Cited by 6 publications
(3 citation statements)
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“…The use of scheduling and feedback for massive connectivity has already been considered in several recent works [18], [19], but for a different context of unsourced random access [20]- [22], where user identification is abstracted, and the goal is to decode a list of transmitted messages. The unsourced paradigm is most suitable when the messages themselves, rather than the identities of the transmitters, are important.…”
Section: A Related Workmentioning
confidence: 99%
“…The use of scheduling and feedback for massive connectivity has already been considered in several recent works [18], [19], but for a different context of unsourced random access [20]- [22], where user identification is abstracted, and the goal is to decode a list of transmitted messages. The unsourced paradigm is most suitable when the messages themselves, rather than the identities of the transmitters, are important.…”
Section: A Related Workmentioning
confidence: 99%
“…The higher-order binary Markov random field (HoMRF) is a non-convex optimization model widely used in the fields of economy, information theory, quantum computing, machine learning and image analysis [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ]. Recently, a new order reduction method has been developed to optimize HoMRF energies.…”
Section: Introductionmentioning
confidence: 99%
“…The finite-length achievability random coding bound to the massive random access problem [ 28 ]—later improved in [ 29 ]—opened the door to a new and flourishing wave of interest in RA solutions. Two main classes arise as promising novel attempts: the first concerns itself with compressed sensing-based solutions represented by works such as [ 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 ], while the second class relies on conventional channel code-based schemes characterized by works such as [ 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. By no means we consider to have given an exhaustive listing of each class.…”
Section: Introductionmentioning
confidence: 99%