{"id":"https://openalex.org/W2130032292","doi":"https://doi.org/10.1109/tit.1974.1055233","title":"Trellis Encoding of memoryless discrete-time sources with a fidelity criterion","display_name":"Trellis Encoding of memoryless discrete-time sources with a fidelity criterion","publication_year":1974,"publication_date":"1974-05-01","ids":{"openalex":"https://openalex.org/W2130032292","doi":"https://doi.org/10.1109/tit.1974.1055233","mag":"2130032292"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1974.1055233","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1974.1055233","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078975478","display_name":"Andrew J. Viterbi","orcid":"https://orcid.org/0000-0003-4671-9849"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Viterbi","raw_affiliation_strings":["Department of System Science, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of System Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069419916","display_name":"J. K. Omura","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Omura","raw_affiliation_strings":["Department of System Science, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of System Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.3954,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.97805097,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"20","issue":"3","first_page":"325","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trellis","display_name":"Trellis (graph)","score":0.6453105211257935},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5626930594444275},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5540614128112793},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5202987790107727},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5155222415924072},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47465020418167114},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46851444244384766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4511026442050934},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.45077064633369446},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43078261613845825},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.4192578196525574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3771689534187317},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.29610395431518555},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10598045587539673},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09092739224433899},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08821004629135132}],"concepts":[{"id":"https://openalex.org/C2781235587","wikidata":"https://www.wikidata.org/wiki/Q7838009","display_name":"Trellis (graph)","level":3,"score":0.6453105211257935},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5626930594444275},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5540614128112793},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5202987790107727},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5155222415924072},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47465020418167114},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46851444244384766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4511026442050934},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.45077064633369446},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43078261613845825},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.4192578196525574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3771689534187317},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.29610395431518555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10598045587539673},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09092739224433899},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08821004629135132},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1974.1055233","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1974.1055233","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1515848123","https://openalex.org/W1991133427","https://openalex.org/W1993944611","https://openalex.org/W2021436622","https://openalex.org/W2122683098","https://openalex.org/W2142384583","https://openalex.org/W2168734837","https://openalex.org/W2219576505"],"related_works":["https://openalex.org/W2614896695","https://openalex.org/W4285195826","https://openalex.org/W2031125189","https://openalex.org/W2364605271","https://openalex.org/W3115308715","https://openalex.org/W2247533527","https://openalex.org/W4292200770","https://openalex.org/W2499973849","https://openalex.org/W2042631808","https://openalex.org/W1859268573"],"abstract_inverted_index":{"For":[0,28],"memoryless":[1],"discrete-time":[2],"sources":[3],"and":[4],"bounded":[5],"single-letter":[6],"distortion":[7,17],"measures,":[8],"we":[9],"derive":[10],"a":[11,20],"bound":[12,48],"on":[13],"the":[14,39],"average":[15],"per-letter":[16],"achievable":[18],"by":[19],"trellis":[21],"source":[22],"code":[23,31],"of":[24],"fixed":[25,30],"constraint":[26,56],"length.":[27,57],"any":[29],"rate":[32],"greater":[33],"than":[34],"<tex":[35,43,51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[36,44,52],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">R(D^{\\ast})</tex>":[37],",":[38,46],"rate-distortion":[40],"function":[41],"at":[42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">D^{\\ast}</tex>":[45,53],"this":[47],"decreases":[49],"toward":[50],"exponentially":[54],"with":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}