{"id":"https://openalex.org/W2093599004","doi":"https://doi.org/10.1109/tassp.1987.1165041","title":"On computing equally spaced samples of a complex Gaussian function","display_name":"On computing equally spaced samples of a complex Gaussian function","publication_year":1987,"publication_date":"1987-10-01","ids":{"openalex":"https://openalex.org/W2093599004","doi":"https://doi.org/10.1109/tassp.1987.1165041","mag":"2093599004"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1987.1165041","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165041","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"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 Acoustics, Speech, and 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/A5105462806","display_name":"Douglas L. Jones","orcid":"https://orcid.org/0000-0002-7817-7629"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Jones","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","Rice University (Houston, TX)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Rice University (Houston, TX)","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111921593","display_name":"T.W. Parks","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Parks","raw_affiliation_strings":["Department of Electrical Engineering, Cornell University, Ithaca, NY, USA","Cornell University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8285,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93881528,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"10","first_page":"1479","last_page":"1480"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11324","display_name":"Spectroscopy Techniques in Biomedical and Chemical Research","score":0.7441999912261963,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11324","display_name":"Spectroscopy Techniques in Biomedical and Chemical Research","score":0.7441999912261963,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.6897000074386597,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.6248000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/recursion","display_name":"Recursion (computer science)","score":0.7902953624725342},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6937003135681152},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5738568305969238},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.5373623967170715},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.49378857016563416},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45938757061958313},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.44911444187164307},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4435926675796509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41566166281700134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39140617847442627},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3474612236022949},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33215826749801636},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33176618814468384},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1859818398952484},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0805850625038147},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06989124417304993}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7902953624725342},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6937003135681152},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5738568305969238},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.5373623967170715},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.49378857016563416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45938757061958313},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.44911444187164307},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4435926675796509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41566166281700134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39140617847442627},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3474612236022949},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33215826749801636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33176618814468384},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1859818398952484},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0805850625038147},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06989124417304993},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1987.1165041","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165041","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"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 Acoustics, Speech, and 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":2,"referenced_works":["https://openalex.org/W1588837646","https://openalex.org/W2585521811"],"related_works":["https://openalex.org/W4220715471","https://openalex.org/W4295035285","https://openalex.org/W2019890371","https://openalex.org/W4200022986","https://openalex.org/W2963637926","https://openalex.org/W3130734945","https://openalex.org/W2048140462","https://openalex.org/W4388542635","https://openalex.org/W2380827615","https://openalex.org/W2122582912"],"abstract_inverted_index":{"This":[0],"correspondence":[1],"extends":[2],"the":[3,13],"simple":[4],"nonlinear":[5],"recursion":[6],"presented":[7],"by":[8],"Kaiser":[9],"in":[10],"[3]":[11],"to":[12],"fast":[14],"generation":[15],"of":[16,20],"equally":[17],"spaced":[18],"samples":[19],"a":[21],"complex":[22,37],"Gaussian":[23],"\"chirp\"":[24],"function":[25],"<tex":[26],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\exp":[28],"(C_{0}":[29],"+":[30,32],"C_{1}t":[31],"C_{2}t^{2})</tex>":[33],"using":[34],"only":[35],"two":[36],"multiplications":[38],"per":[39],"point.":[40]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}