{"id":"https://openalex.org/W2113024057","doi":"https://doi.org/10.1109/tit.1985.1057070","title":"A geometric description of stable linear predictive coding digital filters (Corresp.)","display_name":"A geometric description of stable linear predictive coding digital filters (Corresp.)","publication_year":1985,"publication_date":"1985-07-01","ids":{"openalex":"https://openalex.org/W2113024057","doi":"https://doi.org/10.1109/tit.1985.1057070","mag":"2113024057"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1985.1057070","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057070","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/A5037584265","display_name":"Seymour Shlien","orcid":null},"institutions":[{"id":"https://openalex.org/I4210151552","display_name":"Communications Research Centre Canada","ror":"https://ror.org/05dybt340","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210151552"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"S. Shlien","raw_affiliation_strings":["Department of Communications, Communications Rcscarch Centre, Ottawa, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Communications, Communications Rcscarch Centre, Ottawa, Canada","institution_ids":["https://openalex.org/I4210151552"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037584265"],"corresponding_institution_ids":["https://openalex.org/I4210151552"],"apc_list":null,"apc_paid":null,"fwci":0.6811,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75015518,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"4","first_page":"545","last_page":"548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/coding","display_name":"Coding (social sciences)","score":0.5829796195030212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5372137427330017},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5209490060806274},{"id":"https://openalex.org/keywords/filtering-theory","display_name":"Filtering theory","score":0.510256290435791},{"id":"https://openalex.org/keywords/linear-filter","display_name":"Linear filter","score":0.4789857864379883},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.458647757768631},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4305684268474579},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3957839608192444},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39108842611312866},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32749080657958984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3237232565879822},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.156270831823349},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1306225061416626}],"concepts":[{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5829796195030212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5372137427330017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5209490060806274},{"id":"https://openalex.org/C2988922011","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering theory","level":2,"score":0.510256290435791},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.4789857864379883},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.458647757768631},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4305684268474579},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3957839608192444},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39108842611312866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32749080657958984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3237232565879822},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.156270831823349},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1306225061416626},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1985.1057070","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057070","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1966264494","https://openalex.org/W1968249360","https://openalex.org/W2010355946","https://openalex.org/W2022554507","https://openalex.org/W2029495080","https://openalex.org/W2040336387","https://openalex.org/W2053520533","https://openalex.org/W2082622228","https://openalex.org/W2097627356","https://openalex.org/W2138054245","https://openalex.org/W2146686876","https://openalex.org/W2150418026","https://openalex.org/W3094114204","https://openalex.org/W4210565436"],"related_works":["https://openalex.org/W1500438404","https://openalex.org/W2166955423","https://openalex.org/W2166470059","https://openalex.org/W1523021452","https://openalex.org/W2141159291","https://openalex.org/W2135507152","https://openalex.org/W2172056615","https://openalex.org/W2104556497","https://openalex.org/W2159412868","https://openalex.org/W2130630648"],"abstract_inverted_index":{"If":[0],"the":[1,21],"linear":[2],"predictive":[3],"coding":[4],"filter":[5],"coefficients":[6],"are":[7,48],"imagined":[8],"as":[9],"specifying":[10],"a":[11,29],"point":[12],"in":[13,32],"an":[14],"<tex":[15],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</tex>":[17],"-dimensional":[18],"space,":[19],"then":[20],"set":[22],"of":[23,37],"all":[24],"stable":[25],"filters":[26],"fills":[27],"up":[28],"certain":[30],"region":[31,39],"this":[33,38],"space.":[34],"The":[35],"shape":[36],"is":[40],"determined":[41],"for":[42,50],"low-order":[43],"filters,":[44],"and":[45],"general":[46],"properties":[47],"deduced":[49],"higher-order":[51],"filters.":[52]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}