{"id":"https://openalex.org/W1988738074","doi":"https://doi.org/10.5755/j01.itc.42.3.4349","title":"Application of Mean-Square Approximation for Piecewise Linear Optimal Compander Design for Gaussian Source and Gaussian Mixture Model","display_name":"Application of Mean-Square Approximation for Piecewise Linear Optimal Compander Design for Gaussian Source and Gaussian Mixture Model","publication_year":2013,"publication_date":"2013-09-13","ids":{"openalex":"https://openalex.org/W1988738074","doi":"https://doi.org/10.5755/j01.itc.42.3.4349","mag":"1988738074"},"language":"en","primary_location":{"id":"doi:10.5755/j01.itc.42.3.4349","is_oa":true,"landing_page_url":"https://doi.org/10.5755/j01.itc.42.3.4349","pdf_url":"https://itc.ktu.lt/index.php/ITC/article/download/4349/2813","source":{"id":"https://openalex.org/S61708620","display_name":"Information Technology And Control","issn_l":"1392-124X","issn":["1392-124X","2335-884X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317509","host_organization_name":"Kaunas University of Technology","host_organization_lineage":["https://openalex.org/P4310317509"],"host_organization_lineage_names":["Kaunas University of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Technology And Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://itc.ktu.lt/index.php/ITC/article/download/4349/2813","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021040932","display_name":"Zoran Peri\u0107","orcid":"https://orcid.org/0000-0002-8267-9541"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Z. Peri\u0107","raw_affiliation_strings":["University of Ni\u0161, Faculty of Electronic Engineering, Serbia","University of Nis, Faculty of Electronic Engineering, Serbia"],"affiliations":[{"raw_affiliation_string":"University of Ni\u0161, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"University of Nis, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111524999","display_name":"Jelena Luki\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"J. Luki\u0107","raw_affiliation_strings":["University of Ni\u0161, Faculty of Electronic Engineering, Serbia","University of Nis, Faculty of Electronic Engineering, Serbia"],"affiliations":[{"raw_affiliation_string":"University of Ni\u0161, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"University of Nis, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100648010","display_name":"Jelena Nikoli\u0107","orcid":"https://orcid.org/0000-0002-3552-7211"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"J. Nikoli\u0107","raw_affiliation_strings":["University of Ni\u0161, Faculty of Electronic Engineering, Serbia","University of Nis, Faculty of Electronic Engineering, Serbia"],"affiliations":[{"raw_affiliation_string":"University of Ni\u0161, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"University of Nis, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048997533","display_name":"Dragan Deni\u0107","orcid":"https://orcid.org/0000-0001-5582-0944"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"D. Deni\u0107","raw_affiliation_strings":["University of Ni\u0161, Faculty of Electronic Engineering, Serbia","University of Nis, Faculty of Electronic Engineering, Serbia"],"affiliations":[{"raw_affiliation_string":"University of Ni\u0161, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"University of Nis, Faculty of Electronic Engineering, Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021040932"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":{"value":500,"currency":"EUR","value_usd":539},"apc_paid":null,"fwci":0.8293,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75541459,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"42","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11019","display_name":"Image Enhancement Techniques","score":0.9934999942779541,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9911999702453613,"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/gaussian","display_name":"Gaussian","score":0.7366770505905151},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7212046980857849},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6985059976577759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6918656826019287},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.6823902130126953},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.6775948405265808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5371717810630798},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4980506896972656},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4790419340133667},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.4642435312271118},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4361564517021179},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.43191012740135193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4313773810863495},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.4238862693309784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17662790417671204},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15882664918899536}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7366770505905151},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7212046980857849},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6985059976577759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6918656826019287},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6823902130126953},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6775948405265808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5371717810630798},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4980506896972656},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4790419340133667},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.4642435312271118},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4361564517021179},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.43191012740135193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4313773810863495},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.4238862693309784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17662790417671204},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15882664918899536},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5755/j01.itc.42.3.4349","is_oa":true,"landing_page_url":"https://doi.org/10.5755/j01.itc.42.3.4349","pdf_url":"https://itc.ktu.lt/index.php/ITC/article/download/4349/2813","source":{"id":"https://openalex.org/S61708620","display_name":"Information Technology And Control","issn_l":"1392-124X","issn":["1392-124X","2335-884X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317509","host_organization_name":"Kaunas University of Technology","host_organization_lineage":["https://openalex.org/P4310317509"],"host_organization_lineage_names":["Kaunas University of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Technology And Control","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.5755/j01.itc.42.3.4349","is_oa":true,"landing_page_url":"https://doi.org/10.5755/j01.itc.42.3.4349","pdf_url":"https://itc.ktu.lt/index.php/ITC/article/download/4349/2813","source":{"id":"https://openalex.org/S61708620","display_name":"Information Technology And Control","issn_l":"1392-124X","issn":["1392-124X","2335-884X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317509","host_organization_name":"Kaunas University of Technology","host_organization_lineage":["https://openalex.org/P4310317509"],"host_organization_lineage_names":["Kaunas University of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Technology And Control","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5185058557","display_name":null,"funder_award_id":"TR32045","funder_id":"https://openalex.org/F4320322729","funder_display_name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja"}],"funders":[{"id":"https://openalex.org/F4320322729","display_name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja","ror":"https://ror.org/01znas443"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1988738074.pdf","grobid_xml":"https://content.openalex.org/works/W1988738074.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1555194729","https://openalex.org/W1634005169","https://openalex.org/W1659174010","https://openalex.org/W1940126058","https://openalex.org/W2012199468","https://openalex.org/W2014370446","https://openalex.org/W2014960801","https://openalex.org/W2058097301","https://openalex.org/W2105737698","https://openalex.org/W2109808436","https://openalex.org/W2112414578","https://openalex.org/W2116555433","https://openalex.org/W2134364733","https://openalex.org/W2140380721","https://openalex.org/W2158837670","https://openalex.org/W2913233839","https://openalex.org/W6636654802","https://openalex.org/W6677142256","https://openalex.org/W6758448969"],"related_works":["https://openalex.org/W2384408398","https://openalex.org/W2804516791","https://openalex.org/W4312290701","https://openalex.org/W2999533062","https://openalex.org/W3161938660","https://openalex.org/W4287180928","https://openalex.org/W1987190824","https://openalex.org/W4285219580","https://openalex.org/W4389611271","https://openalex.org/W2373674633"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,77],"novel":[4],"piecewise":[5,28,57,114],"linear":[6,29,58,115],"optimal":[7,22,30,59,116,132],"compander":[8,31,117,133],"design":[9],"method":[10],"based":[11],"on":[12],"the":[13,17,21,27,38,48,56,69,86,93,96,121,127,130,142],"mean-square":[14],"approximation":[15],"of":[16,20,26,55,79,95,111,120,129,137,141,154],"first":[18],"derivative":[19],"compressor":[23,60],"function.":[24],"Designing":[25],"is":[32,74],"conducted":[33],"for":[34,64,134,148],"signals":[35,45,155],"modeled":[36,46,156],"with":[37,47,76,85],"Gaussian":[39,49,158],"probability":[40],"density":[41],"function":[42,61],"(PDF)":[43],"and":[44,160],"mixture":[50],"model":[51],"(GMM).":[52],"The":[53,72,102],"slopes":[54],"are":[62],"optimized":[63],"each":[65,100],"quantization":[66,138,153],"segment":[67],"from":[68],"support":[70],"region.":[71],"optimization":[73],"performed":[75],"goal":[78],"obtaining":[80],"minimal":[81],"mean-squared":[82],"error":[83],"introduced":[84],"proposed":[87,143],"approximation,":[88],"in":[89,152],"this":[90],"manner":[91],"affecting":[92],"number":[94,136],"uniform":[97,122],"cells":[98],"within":[99],"segment.":[101],"obtained":[103,113],"numerical":[104],"results":[105],"show":[106],"that":[107],"signal-to-quantization-noise":[108],"ratio":[109],"(SQNR)":[110],"so":[112],"overreaches":[118],"SQNR":[119,128],"quantizer,":[123],"whereas":[124],"approaches":[125],"to":[126],"nonlinear":[131],"higher":[135],"segments.":[139],"Features":[140],"quantizer":[144],"indicate":[145],"great":[146],"possibilities":[147],"its":[149],"widespread":[150],"application":[151],"by":[157],"PDF":[159],"GMM.DOI:":[161],"http://dx.doi.org/10.5755/j01.itc.42.3.4349":[162]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}