{"id":"https://openalex.org/W2020584068","doi":"https://doi.org/10.1109/tsp.2013.2245656","title":"Pruned Bit-Reversal Permutations: Mathematical Characterization, Fast Algorithms and Architectures","display_name":"Pruned Bit-Reversal Permutations: Mathematical Characterization, Fast Algorithms and Architectures","publication_year":2013,"publication_date":"2013-02-07","ids":{"openalex":"https://openalex.org/W2020584068","doi":"https://doi.org/10.1109/tsp.2013.2245656","mag":"2020584068"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2013.2245656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2245656","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","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/A5038988201","display_name":"Mohammad M. Mansour","orcid":"https://orcid.org/0000-0002-8316-1330"},"institutions":[{"id":"https://openalex.org/I98635879","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21","country_code":"LB","type":"education","lineage":["https://openalex.org/I98635879"]}],"countries":["LB"],"is_corresponding":true,"raw_author_name":"Mohammad M. Mansour","raw_affiliation_strings":["Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon","[Dept. of Electrical and Computer Engineering, American University of Beirut, Lebanon]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon","institution_ids":["https://openalex.org/I98635879"]},{"raw_affiliation_string":"[Dept. of Electrical and Computer Engineering, American University of Beirut, Lebanon]","institution_ids":["https://openalex.org/I98635879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038988201"],"corresponding_institution_ids":["https://openalex.org/I98635879"],"apc_list":null,"apc_paid":null,"fwci":0.2349,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59484109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"61","issue":"12","first_page":"3081","last_page":"3099"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":1.0,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6353150010108948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6321759223937988},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5694998502731323},{"id":"https://openalex.org/keywords/shuffling","display_name":"Shuffling","score":0.5356682538986206},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.44634151458740234},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4363846778869629},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34035930037498474}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6353150010108948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6321759223937988},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5694998502731323},{"id":"https://openalex.org/C167927819","wikidata":"https://www.wikidata.org/wiki/Q1930567","display_name":"Shuffling","level":2,"score":0.5356682538986206},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.44634151458740234},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4363846778869629},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34035930037498474},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2013.2245656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2245656","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W101564851","https://openalex.org/W1495586946","https://openalex.org/W1567948407","https://openalex.org/W1599998158","https://openalex.org/W1721869996","https://openalex.org/W1964203463","https://openalex.org/W1971490887","https://openalex.org/W1984936209","https://openalex.org/W1992360673","https://openalex.org/W1998845948","https://openalex.org/W2009252537","https://openalex.org/W2036498312","https://openalex.org/W2046742053","https://openalex.org/W2061171222","https://openalex.org/W2068591469","https://openalex.org/W2069942563","https://openalex.org/W2077906216","https://openalex.org/W2084240811","https://openalex.org/W2089233012","https://openalex.org/W2090690379","https://openalex.org/W2094766145","https://openalex.org/W2096675747","https://openalex.org/W2100098924","https://openalex.org/W2101503502","https://openalex.org/W2102991183","https://openalex.org/W2104590450","https://openalex.org/W2105108494","https://openalex.org/W2115818790","https://openalex.org/W2118924536","https://openalex.org/W2121606987","https://openalex.org/W2128416205","https://openalex.org/W2131769628","https://openalex.org/W2131909533","https://openalex.org/W2133068391","https://openalex.org/W2134199184","https://openalex.org/W2135519379","https://openalex.org/W2140266955","https://openalex.org/W2143432773","https://openalex.org/W2144062768","https://openalex.org/W2146854905","https://openalex.org/W2147862528","https://openalex.org/W2147954265","https://openalex.org/W2149353827","https://openalex.org/W2154345268","https://openalex.org/W2154812632","https://openalex.org/W2156465821","https://openalex.org/W2157976505","https://openalex.org/W2158903605","https://openalex.org/W2160490922","https://openalex.org/W2161999391","https://openalex.org/W2167214763","https://openalex.org/W2169960398","https://openalex.org/W2296520333","https://openalex.org/W2321123456","https://openalex.org/W2345309708","https://openalex.org/W2752061190","https://openalex.org/W2987657883","https://openalex.org/W3100996381","https://openalex.org/W4300188436","https://openalex.org/W6675945200"],"related_works":["https://openalex.org/W4213239787","https://openalex.org/W4377131110","https://openalex.org/W2114337652","https://openalex.org/W2046590706","https://openalex.org/W2791738351","https://openalex.org/W1587991081","https://openalex.org/W2785357686","https://openalex.org/W4300913961","https://openalex.org/W2963300665","https://openalex.org/W2352590024"],"abstract_inverted_index":{"A":[0,111],"mathematical":[1,112],"characterization":[2],"of":[3,50,66,74,92,159,176,256,268],"serially":[4],"pruned":[5,160,178,234],"permutations":[6,116],"(SPPs)":[7],"employed":[8,258],"in":[9,25,34,78,90,103,182,205,213,216,259,271],"variable-length":[10],"permuters":[11],"and":[12,18,33,120,132,219,226,238],"their":[13],"associated":[14],"fast":[15,235],"pruning":[16,57,157,203],"algorithms":[17,251],"architectures":[19,247],"are":[20,23,54,135,242,252],"proposed.":[21,163],"Permuters":[22],"used":[24],"many":[26],"signal":[27],"processing":[28,81],"systems":[29,36],"for":[30,42,114,123,248],"shuffling":[31],"data":[32],"communication":[35,261],"as":[37,229,231],"an":[38],"adjunct":[39],"to":[40,62,69,107,223,233,265,275],"coding":[41],"error":[43],"correction.":[44],"Typically,":[45],"only":[46],"a":[47,59,67,71,79,104,148,167,177,191,209],"small":[48],"set":[49],"discrete":[51],"permuter":[52],"lengths":[53],"supported.":[55],"Serial":[56],"is":[58,88,118,138,162,185],"simple":[60],"technique":[61],"alter":[63],"the":[64,156,172,202,249],"length":[65],"permutation":[68,152],"support":[70],"wider":[72],"range":[73],"lengths,":[75],"but":[76],"results":[77,255],"serial":[80,133,192,210],"bottleneck.":[82],"In":[83],"this":[84,165],"paper,":[85],"parallelizing":[86,190],"SPPs":[87],"formulated":[89],"terms":[91],"recursively":[93],"computing":[94,201],"sums":[95],"involving":[96],"integer":[97,101],"floor":[98],"functions":[99],"using":[100],"operations,":[102],"fashion":[105],"analogous":[106],"evaluating":[108],"Dedekind":[109],"sums.":[110],"treatment":[113],"bit-reversal":[115],"(BRPs)":[117],"presented,":[119],"closed-form":[121],"expressions":[122],"BRP":[124,141],"statistics":[125],"including":[126],"descents/ascents,":[127],"major":[128],"index,":[129],"excedances/descedances,":[130],"inversions,":[131],"correlations":[134],"derived.":[136],"It":[137],"shown":[139],"that":[140,154,170],"sequences":[142],"have":[143],"weak":[144],"correlation":[145],"properties.":[146],"Moreover,":[147,245],"new":[149],"statistic":[150],"called":[151],"inliers":[153,174],"characterizes":[155],"gap":[158,204],"interleavers":[161,257],"Using":[164],"statistic,":[166],"recursive":[168],"algorithm":[169,188,194],"computes":[171],"minimum":[173],"count":[175],"BR":[179],"interleaver":[180],"(PBRI)":[181],"logarithmic":[183],"time":[184,273],"presented.":[186,244],"This":[187],"enables":[189],"PBRI":[193],"by":[195,200],"any":[196],"desired":[197],"parallelism":[198],"factor":[199],"lookahead":[206],"rather":[207],"than":[208],"fashion,":[211],"resulting":[212],"significant":[214],"reduction":[215],"interleaving":[217,272],"latency":[218],"memory":[220],"overhead.":[221],"Extensions":[222],"2-D":[224],"block":[225],"stream":[227],"interleavers,":[228,241],"well":[230],"applications":[232],"Fourier":[236],"transforms":[237],"LTE":[239],"turbo":[240],"also":[243],"hardware-efficient":[246],"proposed":[250],"developed.":[253],"Simulation":[254],"modern":[260],"standards":[262],"demonstrate":[263],"three":[264],"four":[266],"orders":[267],"magnitude":[269],"improvement":[270],"compared":[274],"existing":[276],"approaches.":[277]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
