{"id":"https://openalex.org/W2118651156","doi":"https://doi.org/10.1109/tsp.2010.2068547","title":"Ziv\u2013Zakai Time-Delay Estimation Bounds for Frequency-Hopping Waveforms Under Frequency-Selective Fading","display_name":"Ziv\u2013Zakai Time-Delay Estimation Bounds for Frequency-Hopping Waveforms Under Frequency-Selective Fading","publication_year":2010,"publication_date":"2010-08-24","ids":{"openalex":"https://openalex.org/W2118651156","doi":"https://doi.org/10.1109/tsp.2010.2068547","mag":"2118651156"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2068547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2068547","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/A5014999736","display_name":"Ning Liu","orcid":"https://orcid.org/0000-0002-5898-5493"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ning Liu","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Riverside, CA, USA","Dept. of Electr. Eng., Univ. of California, Riverside, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of California, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072373301","display_name":"Zhengyuan Xu","orcid":"https://orcid.org/0000-0001-9075-8875"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhengyuan Xu","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Riverside, CA, USA","Dept. of Electr. Eng., Univ. of California, Riverside, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of California, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053858045","display_name":"Brian M. Sadler","orcid":"https://orcid.org/0000-0002-9564-3812"},"institutions":[{"id":"https://openalex.org/I166416128","display_name":"DEVCOM Army Research Laboratory","ror":"https://ror.org/011hc8f90","country_code":"US","type":"government","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I166416128","https://openalex.org/I2802705668","https://openalex.org/I4210154437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian M. Sadler","raw_affiliation_strings":["Army Research Laboratory, Adelphi, MD, USA","Army Research Labs, Adelphi, MD, USA"],"affiliations":[{"raw_affiliation_string":"Army Research Laboratory, Adelphi, MD, USA","institution_ids":["https://openalex.org/I166416128"]},{"raw_affiliation_string":"Army Research Labs, Adelphi, MD, USA","institution_ids":["https://openalex.org/I166416128"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014999736"],"corresponding_institution_ids":["https://openalex.org/I103635307"],"apc_list":null,"apc_paid":null,"fwci":1.1546,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81504813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"58","issue":"12","first_page":"6400","last_page":"6406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9983999729156494,"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":0.841101884841919},{"id":"https://openalex.org/keywords/rician-fading","display_name":"Rician fading","score":0.7167888879776001},{"id":"https://openalex.org/keywords/diversity-scheme","display_name":"Diversity scheme","score":0.688843846321106},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.6173675656318665},{"id":"https://openalex.org/keywords/fading-distribution","display_name":"Fading distribution","score":0.5955233573913574},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.45465517044067383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4531744122505188},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.44661185145378113},{"id":"https://openalex.org/keywords/frequency-hopping-spread-spectrum","display_name":"Frequency-hopping spread spectrum","score":0.4250812232494354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4249458312988281},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.42411521077156067},{"id":"https://openalex.org/keywords/delay-spread","display_name":"Delay spread","score":0.42302387952804565},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.416908860206604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39732009172439575},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3072240352630615}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.841101884841919},{"id":"https://openalex.org/C60472773","wikidata":"https://www.wikidata.org/wiki/Q7331156","display_name":"Rician fading","level":4,"score":0.7167888879776001},{"id":"https://openalex.org/C198746922","wikidata":"https://www.wikidata.org/wiki/Q1230593","display_name":"Diversity scheme","level":4,"score":0.688843846321106},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.6173675656318665},{"id":"https://openalex.org/C161126049","wikidata":"https://www.wikidata.org/wiki/Q5429266","display_name":"Fading distribution","level":5,"score":0.5955233573913574},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.45465517044067383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4531744122505188},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.44661185145378113},{"id":"https://openalex.org/C122962297","wikidata":"https://www.wikidata.org/wiki/Q1136013","display_name":"Frequency-hopping spread spectrum","level":2,"score":0.4250812232494354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4249458312988281},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.42411521077156067},{"id":"https://openalex.org/C49456836","wikidata":"https://www.wikidata.org/wiki/Q666814","display_name":"Delay spread","level":4,"score":0.42302387952804565},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.416908860206604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39732009172439575},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3072240352630615}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2010.2068547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2068547","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":20,"referenced_works":["https://openalex.org/W176433640","https://openalex.org/W598996319","https://openalex.org/W1596939795","https://openalex.org/W1667165204","https://openalex.org/W1892161027","https://openalex.org/W1964936841","https://openalex.org/W2008618334","https://openalex.org/W2084706060","https://openalex.org/W2103433997","https://openalex.org/W2104511008","https://openalex.org/W2124047279","https://openalex.org/W2139689000","https://openalex.org/W2153797540","https://openalex.org/W2165709293","https://openalex.org/W2172081628","https://openalex.org/W2565753657","https://openalex.org/W2798333393","https://openalex.org/W3128611524","https://openalex.org/W4243696438","https://openalex.org/W4246841922"],"related_works":["https://openalex.org/W2141180789","https://openalex.org/W2980231524","https://openalex.org/W2772448942","https://openalex.org/W2172055400","https://openalex.org/W2085073549","https://openalex.org/W141459562","https://openalex.org/W1641214707","https://openalex.org/W1608640314","https://openalex.org/W2124796615","https://openalex.org/W4297823675"],"abstract_inverted_index":{"Ziv-Zakai":[0],"Bayesian":[1],"lower":[2],"bounds":[3,74],"on":[4,70,142],"time-delay":[5],"estimation":[6],"(TDE)":[7],"are":[8,17],"developed":[9],"for":[10,20,80],"frequency":[11,102,137],"hopping":[12],"waveforms.":[13],"These":[14],"wideband":[15],"waveforms":[16],"readily":[18],"employed":[19],"both":[21,120],"communications":[22],"and":[23,123,126,139],"TDE.":[24,143],"We":[25],"consider":[26],"random":[27,67],"frequency-selective":[28],"fading":[29,109,116],"channels,":[30],"described":[31],"by":[32],"a":[33,66,83,89],"Gaussian":[34],"tapped":[35],"delay":[36,56],"line":[37],"model":[38],"with":[39],"inter-hop":[40],"correlation.":[41],"The":[42,63,73,111],"receiver":[43],"does":[44,58],"not":[45],"know":[46,59],"the":[47,54,60,71,81,100,133],"channel":[48,61,140],"realization":[49],"to":[50],"assist":[51],"in":[52,108],"estimating":[53],"time":[55],"but":[57],"statistics.":[62],"development":[64],"incorporates":[65],"uniform":[68],"prior":[69],"delay.":[72],"provide":[75],"tight":[76],"mean-square":[77],"error":[78],"prediction":[79],"maximum":[82],"posteriori":[84],"(MAP)":[85],"estimator":[86],"performance":[87],"over":[88],"large":[90],"range":[91],"of":[92,114,132,135],"signal-to-noise":[93],"ratios":[94],"(SNRs).":[95],"They":[96],"also":[97],"accurately":[98],"predict":[99],"TDE":[101],"diversity":[103],"gain":[104],"from":[105],"multi-frequency":[106],"transmission":[107],"channels.":[110],"special":[112],"case":[113],"independent":[115],"is":[117],"discussed,":[118],"including":[119],"flat":[121],"Rician":[122],"Rayleigh":[124],"fading,":[125],"closed-form":[127],"expressions":[128],"enable":[129],"easy":[130],"study":[131],"effects":[134],"SNR,":[136],"diversity,":[138],"statistics":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}