{"id":"https://openalex.org/W7117458793","doi":"https://doi.org/10.23919/pemwn67312.2025.11304076","title":"CRISP: Grade-Separated Chaos Modeling for Random RIS Architectures via Clifford Wiener\u2013It\u00f4 Expansion","display_name":"CRISP: Grade-Separated Chaos Modeling for Random RIS Architectures via Clifford Wiener\u2013It\u00f4 Expansion","publication_year":2025,"publication_date":"2025-11-25","ids":{"openalex":"https://openalex.org/W7117458793","doi":"https://doi.org/10.23919/pemwn67312.2025.11304076"},"language":null,"primary_location":{"id":"doi:10.23919/pemwn67312.2025.11304076","is_oa":false,"landing_page_url":"https://doi.org/10.23919/pemwn67312.2025.11304076","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 14th IFIP/IEEE International Conference on Performance Evaluation and Modeling in Wired and Wireless Networks (PEMWN)","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/A5012312284","display_name":"Rupei Xu","orcid":"https://orcid.org/0000-0002-9079-2915"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rupei Xu","raw_affiliation_strings":["The University of Texas at Dallas,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Texas at Dallas,USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121460576","display_name":"Naofal Al-Dhahir","orcid":null},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Naofal Al-Dhahir","raw_affiliation_strings":["The University of Texas at Dallas,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Texas at Dallas,USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070511982","display_name":"Yuming Jiang","orcid":"https://orcid.org/0000-0001-7653-4015"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Yuming Jiang","raw_affiliation_strings":["Norwegian University of Science and Technology,Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Norwegian University of Science and Technology,Norway","institution_ids":["https://openalex.org/I204778367"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9948999881744385,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9948999881744385,"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/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.0010999999940395355,"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":0.000699999975040555,"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/randomness","display_name":"Randomness","score":0.6771000027656555},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.635200023651123},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5202000141143799},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4796999990940094},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.4731999933719635},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.43619999289512634},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4117000102996826},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.39559999108314514},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.3693999946117401}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6771000027656555},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.635200023651123},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5202000141143799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.51910001039505},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4796999990940094},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.4731999933719635},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.43619999289512634},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4117000102996826},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.39559999108314514},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3750999867916107},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3693999946117401},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3479999899864197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3476000130176544},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.313400000333786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31040000915527344},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.27480000257492065},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.27239999175071716},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C2909720056","wikidata":"https://www.wikidata.org/wiki/Q11406","display_name":"Electromagnetics","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.2671000063419342},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.25130000710487366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/pemwn67312.2025.11304076","is_oa":false,"landing_page_url":"https://doi.org/10.23919/pemwn67312.2025.11304076","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 14th IFIP/IEEE International Conference on Performance Evaluation and Modeling in Wired and Wireless Networks (PEMWN)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5604028105735779}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W615881649","https://openalex.org/W631335369","https://openalex.org/W1595823061","https://openalex.org/W2481468714","https://openalex.org/W2504169286","https://openalex.org/W2767091268","https://openalex.org/W2950077417","https://openalex.org/W2968810373","https://openalex.org/W2969424089","https://openalex.org/W3043220753","https://openalex.org/W4230211289","https://openalex.org/W4256549414"],"related_works":[],"abstract_inverted_index":{"Reconfigurable":[0],"Intelligent":[1],"Surfaces":[2],"(RIS)":[3],"have":[4],"emerged":[5],"as":[6,57],"a":[7,77,107,153],"key":[8],"architectural":[9],"element":[10],"in":[11,28,160,170],"6G":[12,176],"wireless":[13,164],"systems,":[14],"enabling":[15],"programmable":[16],"control":[17,174],"over":[18],"electromagnetic":[19],"(EM)":[20],"propagation.":[21],"However,":[22],"prevailing":[23],"RIS":[24,46,85,112,118,145,158,173],"models":[25],"are":[26],"limited":[27],"two":[29],"critical":[30],"ways:":[31],"(i)":[32],"they":[33,53],"assume":[34],"deterministic":[35],"or":[36],"Gaussian":[37],"signal":[38],"environments,":[39,165],"neglecting":[40],"the":[41,60],"inherent":[42],"spatial":[43,88],"randomness":[44],"of":[45,68,111],"deployments":[47],"and":[48,51,101,162,166,177],"user":[49],"locations;":[50],"(ii)":[52],"treat":[54],"EM":[55],"signals":[56],"scalars,":[58],"overlooking":[59],"intrinsic":[61],"multigrade":[62],"(e.g.,":[63],"scalar,":[64],"vector,":[65],"bivector)":[66],"structure":[67],"physical":[69],"fields.":[70],"In":[71],"this":[72],"paper,":[73],"we":[74,105],"introduce":[75],"CRISP,":[76],"novel":[78],"Clifford":[79,99],"Wiener\u2013It\u00f4":[80,102],"Poisson":[81,95],"chaos":[82,103,122],"framework":[83,151],"for":[84,127,157,175],"modeling":[86],"under":[87,147],"randomness.":[89],"By":[90],"combining":[91],"stochastic":[92,109],"geometry":[93],"(via":[94],"point":[96],"process),":[97],"multivector":[98],"algebra,":[100],"expansions,":[104],"develop":[106],"grade-separated":[108],"representation":[110],"channels.":[113],"This":[114],"formulation":[115],"enables":[116],"optimal":[117],"beamforming":[119],"via":[120],"per-grade":[121],"projection,":[123],"yielding":[124],"closed-form":[125],"expressions":[126],"grade-wise":[128],"residual":[129,140],"power.":[130],"Extensive":[131],"simulations":[132],"show":[133],"that":[134],"CRISP":[135],"achieves":[136],"10\u201315":[137],"dB":[138],"lower":[139],"power":[141],"compared":[142],"to":[143],"scalar":[144],"baselines":[146],"Poisson-deployed":[148],"scattering.":[149],"Our":[150],"provides":[152],"new":[154,168],"mathematical":[155],"foundation":[156],"optimization":[159],"random":[161],"semantic":[163],"opens":[167],"directions":[169],"multigrade-aware,":[171],"chaos-driven":[172],"beyond.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-12-29T00:00:00"}