{"id":"https://openalex.org/W2130087580","doi":"https://doi.org/10.1109/icassp.2006.1660894","title":"Intrinsic Finite Dimensionality of Random Multipath Fields","display_name":"Intrinsic Finite Dimensionality of Random Multipath Fields","publication_year":2006,"publication_date":"2006-08-02","ids":{"openalex":"https://openalex.org/W2130087580","doi":"https://doi.org/10.1109/icassp.2006.1660894","mag":"2130087580"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2006.1660894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1660894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","raw_type":"proceedings-article"},"type":"conference-paper","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/A5068612701","display_name":"Parastoo Sadeghi","orcid":"https://orcid.org/0000-0002-9965-9483"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"P. Sadeghi","raw_affiliation_strings":["Research School of Information Science and Engineering (RSISE), Australian National University, Canberra, Australia","Research School of Information Science and Engineering (RSISE), Australian National University, Canberra ACT 0200 Australia. Email: parastoo.sadeghi@rsise.anu.edu.au"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Information Science and Engineering (RSISE), Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Research School of Information Science and Engineering (RSISE), Australian National University, Canberra ACT 0200 Australia. Email: parastoo.sadeghi@rsise.anu.edu.au","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003018152","display_name":"Thushara D. Abhayapala","orcid":"https://orcid.org/0000-0001-6937-7218"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"T.D. Abhayapala","raw_affiliation_strings":["Research School of Information Science and Engineering (RSISE), Australian National University, Canberra, Australia","Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Information Science and Engineering (RSISE), Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT#TAB#","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031749751","display_name":"Rodney A. Kennedy","orcid":"https://orcid.org/0000-0002-3946-3673"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"R.A. Kennedy","raw_affiliation_strings":["Research School of Information Science and Engineering (RSISE), Australian National University, Canberra, Australia","Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Information Science and Engineering (RSISE), Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT#TAB#","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"IV","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/multipath-propagation","display_name":"Multipath propagation","score":0.7981637716293335},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5594291687011719},{"id":"https://openalex.org/keywords/random-field","display_name":"Random field","score":0.5472121834754944},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.547166109085083},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5458120107650757},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4766717255115509},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4519087076187134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40576833486557007},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3956717848777771},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3339548707008362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32475465536117554},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2954971194267273},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18964722752571106},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12425634264945984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1101260781288147},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08731687068939209}],"concepts":[{"id":"https://openalex.org/C161218011","wikidata":"https://www.wikidata.org/wiki/Q11827794","display_name":"Multipath propagation","level":3,"score":0.7981637716293335},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5594291687011719},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.5472121834754944},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.547166109085083},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5458120107650757},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4766717255115509},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4519087076187134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40576833486557007},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3956717848777771},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3339548707008362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32475465536117554},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2954971194267273},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18964722752571106},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12425634264945984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1101260781288147},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08731687068939209},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2006.1660894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1660894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.415.7536","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.415.7536","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.cecs.anu.edu.au/~thush/publications/p06_93.pdf","raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/84895","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/84895","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006)","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1523113578","https://openalex.org/W1538934584","https://openalex.org/W1667950888","https://openalex.org/W2051061665","https://openalex.org/W2093016268","https://openalex.org/W2097959015","https://openalex.org/W2120062331","https://openalex.org/W2124164696","https://openalex.org/W2130509920","https://openalex.org/W2160992611","https://openalex.org/W2161357868","https://openalex.org/W2165943096","https://openalex.org/W2170120409","https://openalex.org/W2986057930","https://openalex.org/W4214650395","https://openalex.org/W4292027041"],"related_works":["https://openalex.org/W2794789911","https://openalex.org/W4298134547","https://openalex.org/W4296209631","https://openalex.org/W2122976425","https://openalex.org/W2088773039","https://openalex.org/W2284229495","https://openalex.org/W408992594","https://openalex.org/W2080842158","https://openalex.org/W2963583121","https://openalex.org/W1991515799"],"abstract_inverted_index":{"We":[0,31],"study":[1],"the":[2,23,37,44,57,60,65,71,89,97,115],"dimensions":[3],"or":[4],"degrees":[5],"of":[6,8,39,59,74,100],"freedom":[7],"random":[9,40,82,86],"multipath":[10,16,41,75,83,87],"fields":[11,17],"in":[12,26,43,107],"wireless":[13],"communications.":[14],"Random":[15],"are":[18],"presented":[19],"as":[20],"solutions":[21],"to":[22,56],"wave":[24],"equation":[25],"an":[27],"infinite-dimensional":[28],"vector":[29],"space.":[30],"prove":[32,78],"a":[33,120],"universal":[34],"bound":[35],"for":[36],"dimension":[38,52,91,123],"field":[42,66],"mean":[45],"square":[46],"error":[47],"sense.":[48],"The":[49],"derived":[50],"maximum":[51,90],"is":[53,67,104],"directly":[54],"proportional":[55],"radius":[58],"two-dimensional":[61],"spatial":[62],"region":[63],"where":[64],"coupled":[68],"to.":[69],"Using":[70],"Karhunen-Loeve":[72],"expansion":[73],"fields,":[76,84],"we":[77],"that,":[79],"among":[80],"all":[81],"isotropic":[85],"achieves":[88],"bound.":[92],"These":[93],"results":[94],"mathematically":[95],"quantify":[96],"imprecise":[98],"notion":[99],"rich":[101],"scattering":[102],"that":[103,113],"often":[105],"used":[106],"multiple-antenna":[108],"communication":[109],"theory":[110],"and":[111],"show":[112],"even":[114],"richest":[116],"scatterer":[117],"(isotropic)":[118],"has":[119],"finite":[121],"intrinsic":[122]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
