{"id":"https://openalex.org/W2118730354","doi":"https://doi.org/10.1109/glocom.2002.1188392","title":"Suboptimality of the Karhunen-Loeve transform for fixed-rate transform coding","display_name":"Suboptimality of the Karhunen-Loeve transform for fixed-rate transform coding","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W2118730354","doi":"https://doi.org/10.1109/glocom.2002.1188392","mag":"2118730354"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2002.1188392","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2002.1188392","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE","raw_type":"proceedings-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/A5072111370","display_name":"K. Zeger","orcid":"https://orcid.org/0000-0001-6415-1447"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"K. Zeger","raw_affiliation_strings":["Department of ECE, University of California, La Jolla, CA, USA","California Univ. San Diego, USA"],"affiliations":[{"raw_affiliation_string":"Department of ECE, University of California, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"California Univ. San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072111370"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16278455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1224","last_page":"1228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T10860","display_name":"Speech and Audio Processing","score":0.982200026512146,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.9381935000419617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5922871232032776},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4946121871471405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4789498448371887},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.44597744941711426},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.43900126218795776},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.42385971546173096},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.41587409377098083},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3578166663646698},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.332200825214386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3109959363937378},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.27258390188217163},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24925214052200317},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.21234703063964844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15634161233901978},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.12167209386825562}],"concepts":[{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.9381935000419617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5922871232032776},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4946121871471405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4789498448371887},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.44597744941711426},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.43900126218795776},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.42385971546173096},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.41587409377098083},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3578166663646698},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.332200825214386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3109959363937378},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.27258390188217163},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24925214052200317},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.21234703063964844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15634161233901978},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12167209386825562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/glocom.2002.1188392","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2002.1188392","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.4574","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.4574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.code.ucsd.edu/~zeger/publications/conferences/Ze02-GLOBECOM/Ze02-GLOBECOM.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.9.2714","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.2714","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.code.ucsd.edu/~zeger/publications/conferences/Ze-GLOBECOM02/revised.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W604181985","https://openalex.org/W1634005169","https://openalex.org/W2127045331","https://openalex.org/W2157005274","https://openalex.org/W2172074673","https://openalex.org/W2186435531","https://openalex.org/W3119264854"],"related_works":["https://openalex.org/W2005892337","https://openalex.org/W2168652241","https://openalex.org/W2093183275","https://openalex.org/W2953035947","https://openalex.org/W2144912679","https://openalex.org/W3021757444","https://openalex.org/W2107474339","https://openalex.org/W1919647042","https://openalex.org/W2129464052","https://openalex.org/W2165968540"],"abstract_inverted_index":{"An":[0],"open":[1],"problem":[2],"in":[3,59,72,81],"source":[4,52],"coding":[5],"theory":[6],"has":[7],"been":[8],"whether":[9],"the":[10,27,30,41,53,60,73,76,93,110,123,129],"Karhunen-Loeve":[11],"transform":[12,138],"(KLT)":[13],"is":[14,55,67,78,95],"optimal":[15,34,58,80,97],"for":[16,49,83,98,114],"a":[17,22,50],"system":[18],"that":[19,48,75,92,113,139],"orthogonally":[20],"transforms":[21,40],"vector":[23,32,115],"source,":[24],"scalar":[25,127],"quantizes":[26],"components":[28,130],"of":[29,62],"transformed":[31],"using":[33],"bit":[35],"allocation,":[36],"and":[37,44,70,103],"then":[38],"inverse":[39],"vector.":[42],"Huang":[43],"Schultheiss":[45],"(1963)":[46],"proved":[47],"Gaussian":[51,102],"KLT":[54,77,94],"mean":[56],"squared":[57],"limit":[61],"high":[63],"quantizer":[64],"resolution.":[65],"It":[66],"often":[68],"assumed":[69],"stated":[71],"literature":[74],"also":[79],"general":[82],"nonGaussian":[84],"sources.":[85,105],"We":[86],"disprove":[87],"such":[88],"assertions":[89],"by":[90,134],"demonstrating":[91],"not":[96],"certain":[99],"nearly":[100],"bimodal":[101],"uniform":[104],"In":[106],"addition,":[107],"we":[108],"show":[109],"unusual":[111],"result":[112],"sources":[116],"with":[117],"independent":[118],"identically":[119],"distributed":[120],"Laplacian":[121],"components,":[122],"distortion":[124],"resulting":[125],"from":[126],"quantizing":[128],"can":[131],"be":[132],"reduced":[133],"including":[135],"an":[136],"orthogonal":[137],"adds":[140],"intercomponent":[141],"dependency.":[142]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}