Constant Curvature Curve Tube Codes for Low-Latency Analog Error Correction

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dc.contributor.authorBuvarp, A. M.en
dc.contributor.authorTaylor, R. M.en
dc.contributor.authorMishra, K. V.en
dc.contributor.authorMili, Lamine M.en
dc.contributor.authorZaghloul, A. I.en
dc.date.accessioned2024-01-22T14:20:12Zen
dc.date.available2024-01-22T14:20:12Zen
dc.date.issued2023-08-07en
dc.description.abstractRecent research in ultra-reliable and low latency communications (URLLC) for future wireless systems has spurred interest in short block-length codes. In this context, we analyze arbitrary harmonic bandwidth (BW) expansions for a class of high-dimension constant curvature curve codes for analog error correction of independent continuous-alphabet uniform sources. In particular, we employ the circumradius function from knot theory to prescribe insulating tubes about the centerline of constant curvature curves. We then use tube packing density within a hypersphere to optimize the curve parameters. The resulting constant curvature curve tube (C3T) codes possess the smallest possible latency, i.e., block-length is unity under BW expansion mapping. Further, the codes perform within 5 dB signal-to-distortion ratio of the optimal performance theoretically achievable at a signal-to-noise ratio (SNR) &#x003C; -5 dB for BW expansion factor <italic>n</italic> &#x2264; 10. Furthermore, we propose a neural-network-based method to decode C3T codes. We show that, at low SNR, the neural-network-based C3T decoder outperforms the maximum likelihood and minimum mean-squared error decoders for all <italic>n</italic>. The best possible digital codes require two to three orders of magnitude higher latency compared to C3T codes, thereby demonstrating the latter&#x2019;s utility for URLLC.en
dc.description.versionPublished versionen
dc.format.extentPages 7738-7754en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1109/TIT.2023.3302318en
dc.identifier.eissn1557-9654en
dc.identifier.issn0018-9448en
dc.identifier.issue12en
dc.identifier.orcidMili, Lamine [0000-0001-6134-3945]en
dc.identifier.urihttps://hdl.handle.net/10919/117507en
dc.identifier.volume69en
dc.language.isoenen
dc.publisherIEEEen
dc.relation.urihttp://dx.doi.org/10.1109/tit.2023.3302318en
dc.rightsPublic Domain (U.S.)en
dc.rights.urihttp://creativecommons.org/publicdomain/mark/1.0/en
dc.titleConstant Curvature Curve Tube Codes for Low-Latency Analog Error Correctionen
dc.title.serialIEEE Transactions on Information Theoryen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherJournal Articleen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/Electrical and Computer Engineeringen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen

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