Spatially Coupled LDPC Codes With Sub-Block Locality
A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus offering...
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| Veröffentlicht in: | IEEE transactions on information theory 2021-05, Vol.67 (5), p.2739-2757 |
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| container_title | IEEE transactions on information theory |
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| creator | Ram, Eshed Cassuto, Yuval |
| description | A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus offering flexible access to the coded information alongside the strong reliability of the global full-block decoding. Toward that, we propose constructions of SC-LDPCL codes that allow controlling the trade-off between local and global correction performance. In addition to local and global decoding, the paper develops a density-evolution analysis for a decoding mode we call semi-global decoding, in which the decoder has access to the requested sub-block plus a prescribed number of sub-blocks around it. SC-LDPCL codes are also studied under a channel model with variability across sub-blocks, for which decoding-performance lower bounds are derived. |
| doi_str_mv | 10.1109/TIT.2021.3059751 |
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SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus offering flexible access to the coded information alongside the strong reliability of the global full-block decoding. Toward that, we propose constructions of SC-LDPCL codes that allow controlling the trade-off between local and global correction performance. In addition to local and global decoding, the paper develops a density-evolution analysis for a decoding mode we call semi-global decoding, in which the decoder has access to the requested sub-block plus a prescribed number of sub-blocks around it. SC-LDPCL codes are also studied under a channel model with variability across sub-blocks, for which decoding-performance lower bounds are derived.</description><identifier>ISSN: 0018-9448</identifier><identifier>EISSN: 1557-9654</identifier><identifier>DOI: 10.1109/TIT.2021.3059751</identifier><identifier>CODEN: IETTAW</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Codes ; Codes with locality ; coding for memories ; Complexity theory ; Couplings ; Data models ; Decoding ; Density ; density evolution (DE) ; Error correcting codes ; Iterative decoding ; Lower bounds ; multi-sub-block coding ; Random access memory ; Reliability ; spatially coupled low-density parity-check (SC-LDPC) codes</subject><ispartof>IEEE transactions on information theory, 2021-05, Vol.67 (5), p.2739-2757</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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SC-LDPCL codes are also studied under a channel model with variability across sub-blocks, for which decoding-performance lower bounds are derived.</description><subject>Codes</subject><subject>Codes with locality</subject><subject>coding for memories</subject><subject>Complexity theory</subject><subject>Couplings</subject><subject>Data models</subject><subject>Decoding</subject><subject>Density</subject><subject>density evolution (DE)</subject><subject>Error correcting codes</subject><subject>Iterative decoding</subject><subject>Lower bounds</subject><subject>multi-sub-block coding</subject><subject>Random access memory</subject><subject>Reliability</subject><subject>spatially coupled low-density parity-check (SC-LDPC) codes</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kEtLxDAUhYMoOI7uBTcF1x3zummz1PoaKCjMiMuQSW6wY7W1aRfz743M4Opy4DwuHyGXjC4Yo_pmvVwvOOVsISjoAtgRmTGAItcK5DGZUcrKXEtZnpKzGLdJSmB8RuSqt2Nj23aXVd3Ut-iz-v61SsJjzN6b8SNbTZv8ru3cZ1Z3zrbNuDsnJ8G2ES8Od07eHh_W1XNevzwtq9s6d1yzMS8LirwMSoGyWlqZPlEIpQehVRBCh4DKcy2CA7fxpfPgBDorkSOVUnsxJ9f73n7ofiaMo9l20_CdJg0HBmUqoiy56N7lhi7GAYPph-bLDjvDqPljYxIb88fGHNikyNU-0iDiv10LkIXW4hdIUV3D</recordid><startdate>20210501</startdate><enddate>20210501</enddate><creator>Ram, Eshed</creator><creator>Cassuto, Yuval</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus offering flexible access to the coded information alongside the strong reliability of the global full-block decoding. Toward that, we propose constructions of SC-LDPCL codes that allow controlling the trade-off between local and global correction performance. In addition to local and global decoding, the paper develops a density-evolution analysis for a decoding mode we call semi-global decoding, in which the decoder has access to the requested sub-block plus a prescribed number of sub-blocks around it. 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| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Codes Codes with locality coding for memories Complexity theory Couplings Data models Decoding Density density evolution (DE) Error correcting codes Iterative decoding Lower bounds multi-sub-block coding Random access memory Reliability spatially coupled low-density parity-check (SC-LDPC) codes |
| title | Spatially Coupled LDPC Codes With Sub-Block Locality |
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