{"id":"https://openalex.org/W1986987479","doi":"https://doi.org/10.1109/tasl.2011.2172942","title":"Analysis of Bit-Plane Probability for Generalized Gaussian Distribution and its Application in Audio Coding","display_name":"Analysis of Bit-Plane Probability for Generalized Gaussian Distribution and its Application in Audio Coding","publication_year":2011,"publication_date":"2011-10-24","ids":{"openalex":"https://openalex.org/W1986987479","doi":"https://doi.org/10.1109/tasl.2011.2172942","mag":"1986987479"},"language":"en","primary_location":{"id":"doi:10.1109/tasl.2011.2172942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tasl.2011.2172942","pdf_url":null,"source":{"id":"https://openalex.org/S199497470","display_name":"IEEE Transactions on Audio Speech and Language Processing","issn_l":"1558-7916","issn":["1558-7916","1558-7924"],"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 Audio, Speech, and Language Processing","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/A5076698743","display_name":"Haiyan Shu","orcid":"https://orcid.org/0000-0003-1634-4863"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Haiyan Shu","raw_affiliation_strings":["Institute for Infocomm Research, AStar, Singapore","Institute for Infocomm Research, A*STAR,Singapore,Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, AStar, Singapore","institution_ids":["https://openalex.org/I3005327000"]},{"raw_affiliation_string":"Institute for Infocomm Research, A*STAR,Singapore,Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104114941","display_name":"Haibin Huang","orcid":"https://orcid.org/0009-0000-4781-8772"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Haibin Huang","raw_affiliation_strings":["Institute for Infocomm Research, AStar, Singapore","Institute for Infocomm Research, A*STAR,Singapore,Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, AStar, Singapore","institution_ids":["https://openalex.org/I3005327000"]},{"raw_affiliation_string":"Institute for Infocomm Research, A*STAR,Singapore,Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054558832","display_name":"Susanto Rahardja","orcid":"https://orcid.org/0000-0003-0831-6934"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Susanto Rahardja","raw_affiliation_strings":["Institute for Infocomm Research, AStar, Singapore","Institute for Infocomm Research, A*STAR,Singapore,Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, AStar, Singapore","institution_ids":["https://openalex.org/I3005327000"]},{"raw_affiliation_string":"Institute for Infocomm Research, A*STAR,Singapore,Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5234,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.6718286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"20","issue":"4","first_page":"1167","last_page":"1176"},"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/T11309","display_name":"Music and Audio Processing","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/T11269","display_name":"Algorithms and Data Compression","score":0.9976000189781189,"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/laplace-distribution","display_name":"Laplace distribution","score":0.6744174957275391},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.6015405058860779},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5557288527488708},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.5498197674751282},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.5313169360160828},{"id":"https://openalex.org/keywords/bit-plane","display_name":"Bit plane","score":0.5294579863548279},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5051079392433167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5039400458335876},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.41354817152023315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39206835627555847},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.352121502161026},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20613941550254822},{"id":"https://openalex.org/keywords/bit-field","display_name":"Bit field","score":0.13167735934257507},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12303614616394043}],"concepts":[{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.6744174957275391},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.6015405058860779},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5557288527488708},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.5498197674751282},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.5313169360160828},{"id":"https://openalex.org/C56056324","wikidata":"https://www.wikidata.org/wiki/Q878866","display_name":"Bit plane","level":4,"score":0.5294579863548279},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5051079392433167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5039400458335876},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.41354817152023315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39206835627555847},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.352121502161026},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20613941550254822},{"id":"https://openalex.org/C183383400","wikidata":"https://www.wikidata.org/wiki/Q2374485","display_name":"Bit field","level":3,"score":0.13167735934257507},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12303614616394043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C25197100","wikidata":"https://www.wikidata.org/wiki/Q890886","display_name":"Drilling","level":2,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tasl.2011.2172942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tasl.2011.2172942","pdf_url":null,"source":{"id":"https://openalex.org/S199497470","display_name":"IEEE Transactions on Audio Speech and Language Processing","issn_l":"1558-7916","issn":["1558-7916","1558-7924"],"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 Audio, Speech, and Language Processing","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":27,"referenced_works":["https://openalex.org/W788498898","https://openalex.org/W1965425807","https://openalex.org/W1967565821","https://openalex.org/W2030442875","https://openalex.org/W2030547107","https://openalex.org/W2046419776","https://openalex.org/W2053691921","https://openalex.org/W2069501481","https://openalex.org/W2098768521","https://openalex.org/W2100896189","https://openalex.org/W2102031919","https://openalex.org/W2103331170","https://openalex.org/W2111653914","https://openalex.org/W2112519061","https://openalex.org/W2112927832","https://openalex.org/W2114700786","https://openalex.org/W2115613939","https://openalex.org/W2121576276","https://openalex.org/W2143173306","https://openalex.org/W2144336292","https://openalex.org/W2154186909","https://openalex.org/W2164202383","https://openalex.org/W2166205449","https://openalex.org/W2170896097","https://openalex.org/W2911940095","https://openalex.org/W3094114204","https://openalex.org/W6684574139"],"related_works":["https://openalex.org/W2128890367","https://openalex.org/W2167897635","https://openalex.org/W4287817374","https://openalex.org/W2155738200","https://openalex.org/W3015028689","https://openalex.org/W2127140080","https://openalex.org/W1489137","https://openalex.org/W1547343187","https://openalex.org/W1945246094","https://openalex.org/W2103331170"],"abstract_inverted_index":{"Bit-plane":[0],"probability":[1,27,52,64,84,97],"of":[2,25,33,50,82,108],"data":[3,35,55],"is":[4,43,65,71,102,107,117],"useful":[5],"information":[6],"for":[7,18,53,85,98,122],"many":[8],"applications":[9],"such":[10],"as":[11],"entropy":[12],"coding":[13,20,132],"and":[14,37,88],"rate":[15],"estimation,":[16],"particularly":[17],"scalable":[19,128,148],"system.":[21,133],"Typically,":[22],"the":[23,31,34,54,75,80,89,125,135,139],"value":[24],"bit-plane":[26,51,63,83,96],"varies":[28],"according":[29],"to":[30,39,45,73,129,149],"distribution":[32,70,87,101,156],"represented,":[36],"due":[38],"inter-plane":[40],"correlation,":[41],"it":[42],"hard":[44],"get":[46],"an":[47,94],"analytic":[48],"solution":[49],"with":[56,119],"generalized":[57],"Gaussian":[58,69,100],"distribution.":[59],"In":[60],"this":[61],"paper,":[62],"analyzed":[66],"when":[67],"Generalized":[68,99],"used":[72],"model":[74],"input":[76],"data.":[77],"Based":[78],"on":[79],"study":[81],"Laplace":[86,155],"relationship":[90],"between":[91],"different":[92],"bit-planes,":[93],"approximated":[95],"presented.":[103],"This":[104],"closed-form":[105],"expression":[106],"low":[109],"computational":[110,137],"cost.":[111],"Furthermore,":[112],"a":[113],"much":[114],"practical":[115],"format":[116],"derived":[118],"reduced":[120],"complexity":[121],"implementation":[123],"in":[124],"state-of-the-art":[126],"MPEG-4":[127,147],"lossless":[130,150],"audio":[131,151],"With":[134],"same":[136],"cost,":[138],"proposed":[140],"algorithm":[141],"presents":[142],"higher":[143],"compression":[144],"efficiency":[145],"than":[146],"coding,":[152],"which":[153],"considers":[154],"only.":[157]},"counts_by_year":[{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
