{"id":"https://openalex.org/W2157670384","doi":"https://doi.org/10.1109/tcom.1982.1095401","title":"Error-Signal Response of a Phase-Locked Loop to a Coherent Chirp Signal","display_name":"Error-Signal Response of a Phase-Locked Loop to a Coherent Chirp Signal","publication_year":1982,"publication_date":"1982-10-01","ids":{"openalex":"https://openalex.org/W2157670384","doi":"https://doi.org/10.1109/tcom.1982.1095401","mag":"2157670384"},"language":"en","primary_location":{"id":"doi:10.1109/tcom.1982.1095401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1982.1095401","pdf_url":null,"source":{"id":"https://openalex.org/S4210170832","display_name":"IRE Transactions on Communications Systems","issn_l":"0096-2244","issn":["0096-2244","2162-2132"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Communications","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/A5100512186","display_name":"Yi-hui Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110458","display_name":"Institute of Electronics","ror":"https://ror.org/01z143507","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lu Yihui","raw_affiliation_strings":["Institute of Electronics, Academia Sinica, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electronics, Academia Sinica, Beijing, China","institution_ids":["https://openalex.org/I4210110458"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100512186"],"corresponding_institution_ids":["https://openalex.org/I4210110458"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24235798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"10","first_page":"2274","last_page":"2276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9993000030517578,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9993000030517578,"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9965000152587891,"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/T10232","display_name":"Optical Network Technologies","score":0.9905999898910522,"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/phase-locked-loop","display_name":"Phase-locked loop","score":0.8268109560012817},{"id":"https://openalex.org/keywords/chirp","display_name":"Chirp","score":0.7065778970718384},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.6769144535064697},{"id":"https://openalex.org/keywords/voltage-controlled-oscillator","display_name":"Voltage-controlled oscillator","score":0.6677042245864868},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5663961172103882},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5449049472808838},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5420608520507812},{"id":"https://openalex.org/keywords/frequency-modulation","display_name":"Frequency modulation","score":0.5107839107513428},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.48582908511161804},{"id":"https://openalex.org/keywords/instantaneous-phase","display_name":"Instantaneous phase","score":0.435769259929657},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4180547893047333},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.395843505859375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38629579544067383},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2742304503917694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2255898416042328},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.19884619116783142},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.1954406201839447},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14620745182037354},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13346409797668457},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08142563700675964}],"concepts":[{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.8268109560012817},{"id":"https://openalex.org/C132794960","wikidata":"https://www.wikidata.org/wiki/Q27304","display_name":"Chirp","level":3,"score":0.7065778970718384},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.6769144535064697},{"id":"https://openalex.org/C5291336","wikidata":"https://www.wikidata.org/wiki/Q852341","display_name":"Voltage-controlled oscillator","level":3,"score":0.6677042245864868},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5663961172103882},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5449049472808838},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5420608520507812},{"id":"https://openalex.org/C11930861","wikidata":"https://www.wikidata.org/wiki/Q181417","display_name":"Frequency modulation","level":3,"score":0.5107839107513428},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.48582908511161804},{"id":"https://openalex.org/C137798554","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Instantaneous phase","level":3,"score":0.435769259929657},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4180547893047333},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.395843505859375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38629579544067383},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2742304503917694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2255898416042328},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.19884619116783142},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.1954406201839447},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14620745182037354},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13346409797668457},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08142563700675964},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcom.1982.1095401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1982.1095401","pdf_url":null,"source":{"id":"https://openalex.org/S4210170832","display_name":"IRE Transactions on Communications Systems","issn_l":"0096-2244","issn":["0096-2244","2162-2132"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1572713988","https://openalex.org/W1643936961"],"related_works":["https://openalex.org/W2976219355","https://openalex.org/W2089131288","https://openalex.org/W1600405202","https://openalex.org/W2217043549","https://openalex.org/W1486070987","https://openalex.org/W3064661991","https://openalex.org/W2053751710","https://openalex.org/W2375119918","https://openalex.org/W2049126903","https://openalex.org/W2541919072"],"abstract_inverted_index":{"A":[0],"new":[1],"theory":[2],"which":[3],"describes":[4],"the":[5,18,30,37,43,46,52,56,75,91],"transient":[6],"response":[7],"of":[8,33,45],"a":[9,12,22,63,81,100,107],"PLL":[10,110],"to":[11,17,41,62,98],"periodic":[13],"ramp":[14,38],"voltage":[15,39],"applied":[16],"VCO":[19],"for":[20],"generating":[21],"coherent":[23,101],"chirp":[24],"signal":[25],"has":[26],"been":[27,94],"presented.":[28],"With":[29],"appropriate":[31],"choice":[32],"loop":[34,48],"parameters":[35],"and":[36],"rate":[40],"make":[42],"value":[44],"normalized":[47],"natural":[49],"frequency":[50,103],"within":[51],"range":[53],"(0,":[54],"1),":[55],"PLL's":[57],"equation":[58],"can":[59,71],"be":[60,72],"simplified":[61],"nearly":[64],"linear":[65,102],"differential":[66],"equation.":[67],"Its":[68,96],"asymptotic":[69],"solution":[70],"obtained":[73],"by":[74],"perturbation":[76],"method":[77],"as":[78],"\u03b5":[79],"is":[80,111],"rather":[82],"small":[83],"value.":[84],"Computer":[85],"simulation":[86],"results":[87],"in":[88],"agreement":[89],"with":[90],"analysis":[92],"have":[93],"obtained.":[95],"application":[97],"generate":[99],"modulation":[104],"waveform":[105],"using":[106],"high-gain":[108],"second-order":[109],"considered.":[112]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
