{"id":"https://openalex.org/W2042314803","doi":"https://doi.org/10.1109/ita.2013.6502957","title":"Convergence of the conditional per symbol entropy for stationary Gaussian fading channels for almost all input sequences","display_name":"Convergence of the conditional per symbol entropy for stationary Gaussian fading channels for almost all input sequences","publication_year":2013,"publication_date":"2013-02-01","ids":{"openalex":"https://openalex.org/W2042314803","doi":"https://doi.org/10.1109/ita.2013.6502957","mag":"2042314803"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2013.6502957","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2013.6502957","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Information Theory and Applications Workshop (ITA)","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/A5070681942","display_name":"Meik D\u00f6rpinghaus","orcid":"https://orcid.org/0000-0003-1257-0281"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Dorpinghaus","raw_affiliation_strings":["Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany","Institute for Theoretical Information Technology, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Institute for Theoretical Information Technology, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060076559","display_name":"Norbert Gaffke","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]},{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"N. Gaffke","raw_affiliation_strings":["Faculty of Mathematics, University of Magdeburg, Magdeburg, Germany","Faculty of Mathematics, University of Magdeburg, 39016 Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210138551"]},{"raw_affiliation_string":"Faculty of Mathematics, University of Magdeburg, 39016 Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004755111","display_name":"Lorens A. Imhof","orcid":null},"institutions":[{"id":"https://openalex.org/I4391767997","display_name":"Hausdorff Center for Mathematics","ror":"https://ror.org/032n1tr36","country_code":null,"type":"facility","lineage":["https://openalex.org/I135140700","https://openalex.org/I4391767997"]},{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"L. A. Imhof","raw_affiliation_strings":["Department of Statistics and the Hausdorff Center for Mathematics, University of Bonn, Bonn, Germany","Department of Statistics and the Hausdorff Center for Mathematics, Bonn University, 53113 Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and the Hausdorff Center for Mathematics, University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Department of Statistics and the Hausdorff Center for Mathematics, Bonn University, 53113 Bonn, Germany","institution_ids":["https://openalex.org/I135140700","https://openalex.org/I4391767997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066277118","display_name":"Rudolf Mathar","orcid":"https://orcid.org/0000-0002-9585-605X"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Mathar","raw_affiliation_strings":["Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany","Institute for Theoretical Information Technology, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Institute for Theoretical Information Technology, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070681942"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":0.2399,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61064487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"41","issue":null,"first_page":"1","last_page":"3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9977999925613403,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9977999925613403,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.991100013256073,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9886999726295471,"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/fading","display_name":"Fading","score":0.7758841514587402},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.7157615423202515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6714408993721008},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.6072235703468323},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.5565539598464966},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5369669198989868},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.5350512266159058},{"id":"https://openalex.org/keywords/stationary-process","display_name":"Stationary process","score":0.5317866802215576},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.477007657289505},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.43635064363479614},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.4050765931606293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3378390073776245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2845678925514221},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.265998899936676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2101229727268219},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20917561650276184},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.14859488606452942},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12007930874824524},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10086020827293396},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.06688949465751648}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.7758841514587402},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.7157615423202515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6714408993721008},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.6072235703468323},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.5565539598464966},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5369669198989868},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.5350512266159058},{"id":"https://openalex.org/C110405555","wikidata":"https://www.wikidata.org/wiki/Q1192209","display_name":"Stationary process","level":2,"score":0.5317866802215576},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.477007657289505},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.43635064363479614},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.4050765931606293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3378390073776245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2845678925514221},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.265998899936676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2101229727268219},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20917561650276184},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.14859488606452942},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12007930874824524},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10086020827293396},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.06688949465751648},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ita.2013.6502957","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2013.6502957","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Information Theory and Applications Workshop (ITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.306.6306","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.306.6306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ita.ucsd.edu/workshop/13/files/paper/paper_3068.pdf","raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:227171","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/227171","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2013 Information Theory and Applications Workshop (ITA 2013) : San Diego, California, USA, 10 - 15 February 2013 ; [conference proceedings]<br/>2013 Information Theory and Applications Workshop, ITA 2013, San Diego, CA, USA, 2013-02-10 - 2013-02-15","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4300000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1551153368","https://openalex.org/W2042314803","https://openalex.org/W2045463928","https://openalex.org/W2056099894","https://openalex.org/W2056339533","https://openalex.org/W2098918476","https://openalex.org/W2099111195","https://openalex.org/W2108131375","https://openalex.org/W2127351001","https://openalex.org/W2153412222","https://openalex.org/W2165130988","https://openalex.org/W2312497442","https://openalex.org/W2318382601","https://openalex.org/W4252438641"],"related_works":["https://openalex.org/W2062003524","https://openalex.org/W2349982553","https://openalex.org/W2045693826","https://openalex.org/W2927557059","https://openalex.org/W2793249232","https://openalex.org/W2153025871","https://openalex.org/W862060148","https://openalex.org/W2139507220","https://openalex.org/W2095674846","https://openalex.org/W2042314803"],"abstract_inverted_index":{"In":[0],"the":[1,16,19,26,34,37,60,63,82,85,99],"present":[2],"work,":[3],"a":[4,44,70,91,95],"discrete-time":[5],"stationary":[6,45],"Rayleigh":[7],"flat-fading":[8],"channel":[9,12,27],"with":[10,48],"unknown":[11],"state":[13],"information":[14],"at":[15,33],"transmitter":[17],"and":[18,36],"receiver":[20,35],"is":[21,28,40,65,101],"considered.":[22],"The":[23,54],"law":[24],"of":[25,59,76,84],"assumed":[29],"to":[30,42,67,69],"be":[31,43],"known":[32],"fading":[38],"process":[39,47],"supposed":[41],"Gaussian":[46],"an":[49],"absolutely":[50],"summable":[51],"autocorrelation":[52],"function.":[53],"conditional":[55,87],"per":[56],"symbol":[57],"entropy":[58,88],"output":[61],"given":[62],"input":[64,78],"shown":[66],"converge":[68],"constant":[71],"for":[72,98],"almost":[73],"every":[74],"realization":[75],"i.i.d.":[77],"variables.":[79],"This":[80],"implies":[81],"existence":[83],"corresponding":[86],"rate.":[89],"Moreover,":[90],"novel":[92],"inequality":[93],"yielding":[94],"lower":[96],"bound":[97],"rate":[100],"derived.":[102]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}