{"id":"https://openalex.org/W2910166431","doi":"https://doi.org/10.1109/dicta.2018.8615822","title":"Impulse-Equivalent Sequences and Arrays","display_name":"Impulse-Equivalent Sequences and Arrays","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2910166431","doi":"https://doi.org/10.1109/dicta.2018.8615822","mag":"2910166431"},"language":"en","primary_location":{"id":"doi:10.1109/dicta.2018.8615822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dicta.2018.8615822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Digital Image Computing: Techniques and Applications (DICTA)","raw_type":"proceedings-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/A5007896450","display_name":"Matthew Ceko","orcid":"https://orcid.org/0000-0003-2527-0464"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Matthew Ceko","raw_affiliation_strings":["School of Physics and Astronomy, Monash University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113985503","display_name":"Mustafa Hamid","orcid":null},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mustafa Hamid","raw_affiliation_strings":["School of Physics and Astronomy, Monash University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080791277","display_name":"Imants Svalbe","orcid":"https://orcid.org/0000-0002-2958-4439"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Imants Svalbe","raw_affiliation_strings":["School of Physics and Astronomy, Monash University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071007453","display_name":"Timothy C. Petersen","orcid":"https://orcid.org/0000-0002-8714-1484"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Timothy Petersen","raw_affiliation_strings":["School of Physics and Astronomy, Monash University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009501338","display_name":"Andrew Z. Tirkel","orcid":"https://orcid.org/0000-0003-2288-1382"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew Tirkel","raw_affiliation_strings":["Scientific Technology, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"Scientific Technology, Melbourne, Australia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5007896450"],"corresponding_institution_ids":["https://openalex.org/I56590836"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17648948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/aperiodic-graph","display_name":"Aperiodic graph","score":0.8715901374816895},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.6592627167701721},{"id":"https://openalex.org/keywords/nyquist-frequency","display_name":"Nyquist frequency","score":0.5914593935012817},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5857418179512024},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5520251393318176},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5494255423545837},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5467126369476318},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5101678371429443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5096969604492188},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.5076972246170044},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.4502217769622803},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.41203680634498596},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4108225405216217},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36033427715301514},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3084096908569336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22890248894691467},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.20776373147964478},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16534918546676636},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1572122573852539},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.1448236107826233},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1308336853981018},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.09981754422187805}],"concepts":[{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.8715901374816895},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.6592627167701721},{"id":"https://openalex.org/C98273374","wikidata":"https://www.wikidata.org/wiki/Q1501757","display_name":"Nyquist frequency","level":3,"score":0.5914593935012817},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5857418179512024},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5520251393318176},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5494255423545837},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5467126369476318},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5101678371429443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5096969604492188},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.5076972246170044},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.4502217769622803},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.41203680634498596},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4108225405216217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36033427715301514},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3084096908569336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22890248894691467},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.20776373147964478},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16534918546676636},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1572122573852539},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.1448236107826233},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1308336853981018},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.09981754422187805},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/dicta.2018.8615822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dicta.2018.8615822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Digital Image Computing: Techniques and Applications (DICTA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320971","display_name":"Monash University","ror":"https://ror.org/02bfwt286"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W779532165","https://openalex.org/W1977449481","https://openalex.org/W2011343037","https://openalex.org/W2020729901","https://openalex.org/W2030243808","https://openalex.org/W2061428751","https://openalex.org/W2066360935","https://openalex.org/W2088866385","https://openalex.org/W2100606485","https://openalex.org/W2119453429","https://openalex.org/W2128722995","https://openalex.org/W2133660941","https://openalex.org/W2138548210","https://openalex.org/W2281840339","https://openalex.org/W2899711803","https://openalex.org/W4234803039","https://openalex.org/W4285719527","https://openalex.org/W6755099252"],"related_works":["https://openalex.org/W2061312124","https://openalex.org/W2048656174","https://openalex.org/W1500996803","https://openalex.org/W2081608853","https://openalex.org/W2788446302","https://openalex.org/W2096064243","https://openalex.org/W2071732377","https://openalex.org/W2036326049","https://openalex.org/W1689420716","https://openalex.org/W2910166431"],"abstract_inverted_index":{"The":[0,46],"delta":[1,59,141],"function":[2,19,60],"is":[3,13,99],"important":[4],"in":[5,20,38,71,76,172],"discrete":[6,51,169],"signal":[7],"and":[8],"image":[9],"processing":[10],"as":[11],"it":[12],"the":[14,21,35,39,58],"exemplary":[15],"perfect":[16],"point":[17],"spread":[18],"spatial":[22],"or":[23,73],"time":[24,72],"domain.":[25],"It":[26],"provides":[27],"100%":[28],"contrast":[29],"resolution":[30],"for":[31,84,92],"all":[32],"frequencies":[33],"up":[34],"Nyquist":[36],"frequency":[37],"Fourier":[40],"domain":[41],"(perfect":[42],"modulation":[43],"transfer":[44],"function).":[45],"construction":[47],"of":[48,57,62,117,126,152],"spatially":[49],"finite":[50],"functions":[52,86,105,142],"that":[53,87,101,123,158],"mimic":[54,140],"these":[55,118],"properties":[56],"becomes":[61],"great":[63],"value":[64],"when":[65],"we":[66],"want":[67],"to":[68,167],"synchronise":[69],"signals":[70],"localise":[74],"patterns":[75,91],"space.":[77],"Equivalently,":[78],"sparse":[79],"binary":[80],"arrays":[81,171],"are":[82,124],"templates":[83],"spectrally-neutral":[85],"provide":[88,176],"unbiased":[89],"sub-sampling":[90],"compressed":[93],"sensing":[94],"applications.":[95],"Here":[96],"a":[97],"method":[98],"described":[100],"constructs":[102],"exact,":[103],"impulse-equivalent":[104,170],"by":[106],"combining":[107],"complementary":[108],"sequences":[109,119,139,154,163],"based":[110],"on":[111],"difference":[112],"sets.":[113],"A":[114],"large":[115],"variety":[116],"can":[120,155,164],"be":[121,156,165],"prepared":[122],"comprised":[125],"simple":[127],"real":[128],"integer":[129],"alphabets,":[130],"whilst":[131],"imposing":[132],"few":[133],"length":[134],"restrictions.":[135],"These":[136,162],"`perfect'":[137],"periodic":[138],"through":[143],"their":[144],"strong":[145],"peak,":[146],"low":[147,160],"off-peak,":[148],"aperiodic":[149],"auto-correlation.":[150],"Families":[151],"distinct":[153],"produced":[157],"exhibit":[159],"cross-correlations.":[161],"used":[166],"build":[168],"higher":[173],"dimensions.":[174],"We":[175],"some":[177],"2D":[178],"examples.":[179]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
