{"id":"https://openalex.org/W4321021996","doi":"https://doi.org/10.1109/tsp.2023.3245720","title":"Probabilistic Estimation of Instantaneous Frequencies of Chirp Signals","display_name":"Probabilistic Estimation of Instantaneous Frequencies of Chirp Signals","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4321021996","doi":"https://doi.org/10.1109/tsp.2023.3245720"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3245720","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3245720","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/A5065843472","display_name":"Zheng Zhao","orcid":"https://orcid.org/0000-0002-0368-786X"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Zheng Zhao","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075994876","display_name":"Simo S\u00e4rkk\u00e4","orcid":"https://orcid.org/0000-0002-7031-9354"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Simo S\u00e4rkk\u00e4","raw_affiliation_strings":["Department of Electrical Engineering and Automation, Aalto University, Aalto, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Automation, Aalto University, Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032491456","display_name":"Jens Sj\u00f6lund","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jens Sj\u00f6lund","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083090794","display_name":"Thomas B. Sch\u00f6n","orcid":"https://orcid.org/0000-0001-5183-234X"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Thomas B. Sch\u00f6n","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065843472"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":0.8698,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77681626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"71","issue":null,"first_page":"461","last_page":"476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9983000159263611,"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10860","display_name":"Speech and Audio Processing","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chirp","display_name":"Chirp","score":0.710350513458252},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6009359955787659},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5279043316841125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.487705796957016},{"id":"https://openalex.org/keywords/instantaneous-phase","display_name":"Instantaneous phase","score":0.46295955777168274},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.4541482627391815},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4330154061317444},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.4006820321083069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3873607814311981},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3568453788757324},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.350626140832901},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.332466185092926},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3231236934661865},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27612632513046265},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21034938097000122},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.1975060999393463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16641581058502197}],"concepts":[{"id":"https://openalex.org/C132794960","wikidata":"https://www.wikidata.org/wiki/Q27304","display_name":"Chirp","level":3,"score":0.710350513458252},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6009359955787659},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5279043316841125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.487705796957016},{"id":"https://openalex.org/C137798554","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Instantaneous phase","level":3,"score":0.46295955777168274},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.4541482627391815},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4330154061317444},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.4006820321083069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3873607814311981},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3568453788757324},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.350626140832901},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.332466185092926},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3231236934661865},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27612632513046265},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21034938097000122},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.1975060999393463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16641581058502197},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2023.3245720","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3245720","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":[{"id":"https://openalex.org/G1364868472","display_name":null,"funder_award_id":"2018-05973","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1580561995","https://openalex.org/W1904835720","https://openalex.org/W1995104608","https://openalex.org/W2026443246","https://openalex.org/W2082502248","https://openalex.org/W2104130465","https://openalex.org/W2117034376","https://openalex.org/W2132085292","https://openalex.org/W2148733391","https://openalex.org/W2158617925","https://openalex.org/W2164770369","https://openalex.org/W2168834059","https://openalex.org/W2252795400","https://openalex.org/W2520704801","https://openalex.org/W2576278524","https://openalex.org/W2725685891","https://openalex.org/W2727709631","https://openalex.org/W2735405579","https://openalex.org/W2761468564","https://openalex.org/W2963418834","https://openalex.org/W3044425249","https://openalex.org/W3090482648","https://openalex.org/W3113943345","https://openalex.org/W3204355861","https://openalex.org/W4211049957","https://openalex.org/W4211127940","https://openalex.org/W4232464081","https://openalex.org/W6606110874","https://openalex.org/W6674989108","https://openalex.org/W6740422939"],"related_works":["https://openalex.org/W3090614300","https://openalex.org/W2134843605","https://openalex.org/W1973229893","https://openalex.org/W2141591718","https://openalex.org/W3091698330","https://openalex.org/W1619742598","https://openalex.org/W1977614046","https://openalex.org/W2053751710","https://openalex.org/W3028490874","https://openalex.org/W116012085"],"abstract_inverted_index":{"We":[0,56,100],"present":[1],"a":[2,58,70,91,97],"continuous-time":[3],"probabilistic":[4],"approach":[5],"for":[6,63,74,108],"estimating":[7],"the":[8,17,46,64,75,79,87,104],"chirp":[9],"signal":[10],"and":[11,54,68],"its":[12],"instantaneous":[13],"frequency":[14],"function":[15],"when":[16],"true":[18],"forms":[19],"of":[20,45,93],"these":[21,29],"functions":[22,30,47],"are":[23],"not":[24],"accessible.":[25],"Our":[26],"model":[27],"represents":[28],"by":[31],"non-linearly":[32],"cascaded":[33],"Gaussian":[34,65],"processes":[35],"represented":[36],"as":[37],"non-linear":[38],"stochastic":[39,52],"differential":[40],"equations.":[41],"The":[42,83],"posterior":[43],"distribution":[44],"is":[48],"then":[49],"estimated":[50],"with":[51],"filters":[53],"smoothers.":[55],"compute":[57],"(posterior)":[59],"Cram\u00e9r\u2013Rao":[60],"lower":[61],"bound":[62,73],"process":[66],"model,":[67],"derive":[69],"theoretical":[71],"upper":[72],"estimation":[76],"error":[77],"in":[78],"mean":[80],"squared":[81],"sense.":[82],"experiments":[84],"show":[85,102],"that":[86,103],"proposed":[88],"method":[89,105],"outperforms":[90],"number":[92],"state-of-the-art":[94],"methods":[95],"on":[96],"synthetic":[98],"data.":[99],"also":[101],"works":[106],"out-of-the-box":[107],"two":[109],"real-world":[110],"datasets.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}