{"id":"https://openalex.org/W2146932245","doi":"https://doi.org/10.1109/tit.1977.1055754","title":"Deterministic and stochastic stability of adaptive differential pulse code modulation","display_name":"Deterministic and stochastic stability of adaptive differential pulse code modulation","publication_year":1977,"publication_date":"1977-07-01","ids":{"openalex":"https://openalex.org/W2146932245","doi":"https://doi.org/10.1109/tit.1977.1055754","mag":"2146932245"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1977.1055754","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1977.1055754","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/A5066938444","display_name":"L. H. Goldstein","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Goldstein","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Sandia Laboratories, Inc., Albuquerque, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Sandia Laboratories, Inc., Albuquerque, NM, USA","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109000558","display_name":"Bede Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bede Liu","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.635,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74562421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"4","first_page":"445","last_page":"453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.882099986076355,"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":0.882099986076355,"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/T12898","display_name":"Induction Heating and Inverter Technology","score":0.7757999897003174,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10575","display_name":"Wireless Communication Networks Research","score":0.7379000186920166,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5224519968032837},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4938126504421234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46752074360847473},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4457974135875702},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4418564438819885},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32456377148628235}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5224519968032837},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4938126504421234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46752074360847473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4457974135875702},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4418564438819885},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32456377148628235},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1977.1055754","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1977.1055754","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":11,"referenced_works":["https://openalex.org/W1973977150","https://openalex.org/W1996660165","https://openalex.org/W2000003324","https://openalex.org/W2018452484","https://openalex.org/W2045612359","https://openalex.org/W2046654364","https://openalex.org/W2055815603","https://openalex.org/W2088353823","https://openalex.org/W2091174503","https://openalex.org/W2093440343","https://openalex.org/W4299432846"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0,44],"problem":[1],"of":[2,4,27,31,46,53,57,82,102],"stability":[3,56,81],"an":[5,51,123],"adaptive":[6],"differential":[7],"pulse":[8],"code":[9],"modulation":[10],"(ADPCM)":[11],"system":[12],"is":[13,20,85,96,133],"considered":[14],"from":[15,122],"two":[16],"viewpoints.":[17],"First,":[18],"it":[19],"demonstrated":[21],"that":[22,64,87,98,113,128],"the":[23,37,54,58,91,99,103,119,129,136],"step-size":[24],"adaptation":[25],"algorithm":[26],"a":[28,110],"certain":[29,89],"class":[30],"ADPCM's":[32,90],"can":[33],"be":[34],"characterized":[35],"by":[36],"system's":[38],"response":[39],"to":[40,78,118],"step:":[41],"function":[42],"inputs.":[43],"degree":[45],"\"hunting\"":[47],"or":[48],"\"oscillation\"":[49],"provides":[50],"indication":[52],"deterministic":[55],"algorithm,":[59],"and":[60,105,127],"algorithms":[61],"are":[62,76],"presented":[63],"minimize":[65],"these":[66],"effects.":[67],"Secondly,":[68],"stationary":[69,111,120,137],"random":[70],"processes":[71,108],"with":[72],"rational":[73],"spectral":[74],"densities":[75],"used":[77],"study":[79],"stochastic":[80],"ADPCM.":[83],"It":[84],"shown":[86],"for":[88],"time-averaged":[92],"mean-absolute":[93,130],"quantizing":[94,131],"noise":[95,132],"bounded,":[97],"joint":[100,115],"distribution":[101,116,121],"input":[104],"decoded":[106],"output":[107],"possesses":[109],"distribution,":[112],"this":[114],"converges":[117],"arbitrary":[124],"starting":[125],"point,":[126],"finite":[134],"under":[135],"distribution.":[138]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}