{"id":"https://openalex.org/W2952329029","doi":"https://doi.org/10.1109/lsp.2018.2865676","title":"An Optimal-Dimensionality Sampling for Spin-&lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$s$&lt;/tex-math&gt; &lt;/inline-formula&gt; Functions on the Sphere","display_name":"An Optimal-Dimensionality Sampling for Spin-&lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$s$&lt;/tex-math&gt; &lt;/inline-formula&gt; Functions on the Sphere","publication_year":2018,"publication_date":"2018-08-17","ids":{"openalex":"https://openalex.org/W2952329029","doi":"https://doi.org/10.1109/lsp.2018.2865676","mag":"2952329029"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2018.2865676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2018.2865676","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1809.01321","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Usama Elahi","orcid":"https://orcid.org/0000-0002-0320-336X"},"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":true,"raw_author_name":"Usama Elahi","raw_affiliation_strings":["Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zubair Khalid","orcid":"https://orcid.org/0000-0001-7875-4687"},"institutions":[{"id":"https://openalex.org/I207789805","display_name":"Lahore University of Management Sciences","ror":"https://ror.org/05b5x4a35","country_code":"PK","type":"education","lineage":["https://openalex.org/I207789805"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zubair Khalid","raw_affiliation_strings":["Department of Electrical Engineering, Lahore University of Management Sciences, Lahore, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Lahore University of Management Sciences, Lahore, Pakistan","institution_ids":["https://openalex.org/I207789805"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rodney A. Kennedy","orcid":null},"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":"Rodney A. Kennedy","raw_affiliation_strings":["Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jason D. McEwen","orcid":"https://orcid.org/0000-0002-5852-8890"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jason D. McEwen","raw_affiliation_strings":["Mullard Space Science Laboratory, University College London, Surrey, U.K"],"affiliations":[{"raw_affiliation_string":"Mullard Space Science Laboratory, University College London, Surrey, U.K","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27172616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"10","first_page":"1470","last_page":"1474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.8574000000953674,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.8574000000953674,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.01979999989271164,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.017000000923871994,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/computation","display_name":"Computation","score":0.7656999826431274},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.730400025844574},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5964999794960022},{"id":"https://openalex.org/keywords/equiangular-polygon","display_name":"Equiangular polygon","score":0.531000018119812},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.4498000144958496},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43149998784065247},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.43140000104904175},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.42899999022483826}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7656999826431274},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.730400025844574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6371999979019165},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5964999794960022},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5633999705314636},{"id":"https://openalex.org/C41779539","wikidata":"https://www.wikidata.org/wiki/Q2543717","display_name":"Equiangular polygon","level":3,"score":0.531000018119812},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.4498000144958496},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43149998784065247},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.39430001378059387},{"id":"https://openalex.org/C31942786","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Coherent sampling","level":4,"score":0.38589999079704285},{"id":"https://openalex.org/C2985139394","wikidata":"https://www.wikidata.org/wiki/Q49908","display_name":"Sampling scheme","level":3,"score":0.3790000081062317},{"id":"https://openalex.org/C167528306","wikidata":"https://www.wikidata.org/wiki/Q5508776","display_name":"Function representation","level":3,"score":0.3628999888896942},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.35019999742507935},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34630000591278076},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.3001999855041504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29760000109672546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26460000872612},{"id":"https://openalex.org/C170593435","wikidata":"https://www.wikidata.org/wiki/Q4128565","display_name":"Slice sampling","level":4,"score":0.25619998574256897},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.25060001015663147}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lsp.2018.2865676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2018.2865676","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1809.01321","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.01321","pdf_url":"https://arxiv.org/pdf/1809.01321","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/307639","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/307639","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":"IEEE Signal Processing Letters","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1809.01321","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.01321","pdf_url":"https://arxiv.org/pdf/1809.01321","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2543190105","display_name":null,"funder_award_id":"EP/M011852/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7960557884","display_name":null,"funder_award_id":"EP/M011089/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W642667799","https://openalex.org/W1984376083","https://openalex.org/W2008151474","https://openalex.org/W2036203107","https://openalex.org/W2060170052","https://openalex.org/W2087255259","https://openalex.org/W2107260249","https://openalex.org/W2118413445","https://openalex.org/W2138217679","https://openalex.org/W2153487479","https://openalex.org/W2160615084","https://openalex.org/W2167127805","https://openalex.org/W2584083182","https://openalex.org/W3106758726","https://openalex.org/W6684494823","https://openalex.org/W6776208485"],"related_works":[],"abstract_inverted_index":{"For":[0,87],"the":[1,8,22,29,37,49,57,77,81,88,99,103,111,115,129,132,137,158],"representation":[2,50],"of":[3,18,24,26,28,51,80,117,131,157],"spin-s":[4,52,82],"band-limited":[5,54],"functions":[6,53],"on":[7],"sphere,":[9],"we":[10,92],"propose":[11],"a":[12,95,124],"sampling":[13,39,90,139,151],"scheme":[14,59,108],"with":[15],"optimal":[16],"number":[17,23],"samples":[19,47,75,104],"equal":[20],"to":[21,36,97,127,146],"degrees":[25],"freedom":[27],"function":[30],"in":[31,105,114],"harmonic":[32,84],"space.":[33],"In":[34],"comparison":[35],"existing":[38,147],"designs,":[40],"which":[41],"require":[42],"~2L":[43],"<sup":[44,67],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[45,63,68,73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[46,69],"for":[48,76],"at":[55],"L,":[56],"proposed":[58,89,138],"requires":[60],"N":[61],"<sub":[62,72],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">o</sub>":[64],"=":[65],"L":[66],"-":[70],"s":[71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[74],"accurate":[78,155],"computation":[79,116,156],"spherical":[83],"transform":[85],"(s-SHT).":[86],"scheme,":[91],"also":[93,122,135],"develop":[94],"method":[96],"compute":[98],"s-SHT.":[100],"We":[101,121,134],"place":[102],"our":[106],"design":[107,140],"such":[109],"that":[110],"matrices":[112],"involved":[113],"s-SHT":[118,126,159],"are":[119],"well-conditioned.":[120],"present":[123],"multipass":[125],"improve":[128],"accuracy":[130],"transform.":[133],"show":[136],"exhibits":[141],"superior":[142],"geometrical":[143],"properties":[144],"compared":[145],"equiangular":[148],"and":[149,153],"Gauss-Legendre":[150],"schemes,":[152],"enables":[154],"corroborated":[160],"through":[161],"numerical":[162],"experiments.":[163]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2019-06-27T00:00:00"}
