{"id":"https://openalex.org/W2126215163","doi":"https://doi.org/10.1109/tcom.1984.1095995","title":"Spectral Analysis of Digital Messages Through Finite-Memory Transformations","display_name":"Spectral Analysis of Digital Messages Through Finite-Memory Transformations","publication_year":1984,"publication_date":"1984-11-01","ids":{"openalex":"https://openalex.org/W2126215163","doi":"https://doi.org/10.1109/tcom.1984.1095995","mag":"2126215163"},"language":"en","primary_location":{"id":"doi:10.1109/tcom.1984.1095995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1984.1095995","pdf_url":null,"source":{"id":"https://openalex.org/S4210170832","display_name":"IRE Transactions on Communications Systems","issn_l":"0096-2244","issn":["0096-2244","2162-2132"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Communications","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/A5068146073","display_name":"R. Padovani","orcid":"https://orcid.org/0000-0002-5985-6992"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Padovani","raw_affiliation_strings":["Department of Electrical Engineering, University of Massachusetts, Amherst, MA, USA","University of Massachusetts, Amherst, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Massachusetts, Amherst, MA, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"University of Massachusetts, Amherst, MA, USA#TAB#","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003289882","display_name":"G. Pierobon","orcid":"https://orcid.org/0000-0003-1804-7248"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Pierobon","raw_affiliation_strings":["Department of Electrical Engineering, University of Padua, Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Padua, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.2768595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"11","first_page":"1214","last_page":"1218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7635927200317383},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5750210881233215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5130366086959839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4813717007637024},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45764583349227905},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44143620133399963},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3489196002483368},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31374576687812805},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08078184723854065}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7635927200317383},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5750210881233215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5130366086959839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4813717007637024},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45764583349227905},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44143620133399963},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3489196002483368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31374576687812805},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08078184723854065},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcom.1984.1095995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1984.1095995","pdf_url":null,"source":{"id":"https://openalex.org/S4210170832","display_name":"IRE Transactions on Communications Systems","issn_l":"0096-2244","issn":["0096-2244","2162-2132"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1972699551","https://openalex.org/W1997809977","https://openalex.org/W2062122842","https://openalex.org/W2075379212","https://openalex.org/W2097807275","https://openalex.org/W2135294057","https://openalex.org/W2142901448","https://openalex.org/W2168173892","https://openalex.org/W2168500038"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W2383646825","https://openalex.org/W3152686072","https://openalex.org/W2371018915","https://openalex.org/W1006270037","https://openalex.org/W2354191502","https://openalex.org/W3129238073"],"abstract_inverted_index":{"The":[0,25,47,90],"spectral":[1,39],"analysis":[2,40],"is":[3,30,92],"performed":[4],"for":[5,37,62,75],"the":[6,28,38,63,81,84,88,96,100],"stochastic":[7],"sequence\\{b_{n}\\}":[8],"=":[9],"\\{h(a_{n},":[10],"a_{n-1},\\cdots,":[11],"a_{n-M+1})\\},":[12],"where\\{a_{n}\\}is":[13],"an":[14,21],"independent":[15],"identically":[16],"distributed":[17],"digital":[18],"sequence":[19],"andhis":[20],"arbitrary":[22],"complex":[23],"function.":[24],"computation":[26],"of":[27,41,44,79,83],"spectrum":[29],"based":[31],"on":[32,68],"a":[33,50,69,103],"general":[34,71],"matrix":[35],"method":[36,91],"memoryless":[42],"functions":[43],"Markov":[45,106],"chains.":[46],"approach":[48],"employs":[49],"recursive":[51],"algorithm,":[52],"whose":[53],"computational":[54],"time":[55],"and":[56,87],"storage":[57],"requirements":[58],"are":[59],"sufficiently":[60],"small":[61],"algorithm":[64],"to":[65,95],"be":[66],"implemented":[67],"modern":[70],"purpose":[72],"computer,":[73],"even":[74],"moderately":[76],"high":[77],"values":[78],"both":[80],"size":[82],"source":[85],"alphabet":[86],"parameterM.":[89],"also":[93],"extended":[94],"case":[97],"in":[98],"which":[99],"input":[101],"sequence\\{a_{n}\\}is":[102],"stationary":[104],"finite":[105],"chain.":[107]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}