{"id":"https://openalex.org/W1570216278","doi":"https://doi.org/10.1109/iscas.2015.7169006","title":"A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin","display_name":"A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1570216278","doi":"https://doi.org/10.1109/iscas.2015.7169006","mag":"1570216278"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2015.7169006","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2015.7169006","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11729/1627","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054083929","display_name":"V. Tav\u015fanoglu","orcid":"https://orcid.org/0000-0001-8590-1518"},"institutions":[{"id":"https://openalex.org/I167234411","display_name":"I\u015f\u0131k University","ror":"https://ror.org/02j8k6t75","country_code":"TR","type":"education","lineage":["https://openalex.org/I167234411"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Vedat Tavsanoglu","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, ISIk University, Istanbul, Turkey","Department of Electrical and Electronics Engineering, I\u015f\u0131k University, \u0130stanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, ISIk University, Istanbul, Turkey","institution_ids":["https://openalex.org/I167234411"]},{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, I\u015f\u0131k University, \u0130stanbul, Turkey","institution_ids":["https://openalex.org/I167234411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054083929"],"corresponding_institution_ids":["https://openalex.org/I167234411"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03223191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1806","last_page":"1809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.9519000053405762,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.6208968758583069},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5606480240821838},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4981386661529541},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.45736464858055115},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.44575148820877075},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.41264504194259644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39172425866127014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3910141587257385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3357129693031311},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3351132571697235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2888320982456207},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2185780107975006}],"concepts":[{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.6208968758583069},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5606480240821838},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4981386661529541},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.45736464858055115},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.44575148820877075},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.41264504194259644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39172425866127014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3910141587257385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3357129693031311},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3351132571697235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2888320982456207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2185780107975006},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2015.7169006","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2015.7169006","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},{"id":"pmh:oai:acikerisim.isikun.edu.tr:11729/1627","is_oa":true,"landing_page_url":"https://hdl.handle.net/11729/1627","pdf_url":null,"source":{"id":"https://openalex.org/S4306401174","display_name":"Akademik A\u00e7\u0131k Eri\u015fim (I\u015f\u0131k \u00dcniversitesi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I167234411","host_organization_name":"I\u015f\u0131k University","host_organization_lineage":["https://openalex.org/I167234411"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Object"}],"best_oa_location":{"id":"pmh:oai:acikerisim.isikun.edu.tr:11729/1627","is_oa":true,"landing_page_url":"https://hdl.handle.net/11729/1627","pdf_url":null,"source":{"id":"https://openalex.org/S4306401174","display_name":"Akademik A\u00e7\u0131k Eri\u015fim (I\u015f\u0131k \u00dcniversitesi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I167234411","host_organization_name":"I\u015f\u0131k University","host_organization_lineage":["https://openalex.org/I167234411"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Object"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1606202192","https://openalex.org/W1964519115","https://openalex.org/W2132335233","https://openalex.org/W6636483738","https://openalex.org/W6679613394"],"related_works":["https://openalex.org/W1964163924","https://openalex.org/W2140267235","https://openalex.org/W2089389288","https://openalex.org/W1975973603","https://openalex.org/W1538944388","https://openalex.org/W2170039723","https://openalex.org/W964523193","https://openalex.org/W2962723298","https://openalex.org/W2376607731","https://openalex.org/W4248372171"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,48,52,108],"systematic":[4],"approach":[5,102],"to":[6,106],"the":[7,10,14,18,40,57,85,90,114,119,122],"computation":[8,115],"of":[9,23,46,84,89,121],"impulse":[11,54,123],"response":[12],"in":[13,56],"time":[15,58],"domain":[16],"at":[17],"origin":[19],"and":[20,42],"post-initial":[21,87],"conditions":[22,88],"an":[24],"N":[25,86],"<sup":[26,61,68,97],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27,62,69,98],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">th</sup>":[28],"-order":[29],"causal":[30],"SISO":[31],"LTI":[32],"system":[33],"differential":[34,49,91],"equation.":[35],"It":[36],"is":[37,82,104],"shown":[38],"that":[39],"solution":[41],"its":[43],"N-1":[44],"derivatives":[45],"such":[47],"equation":[50,92],"with":[51],"unit":[53],"input":[55],"interval":[59],"0":[60,67,96],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-</sup>":[63],"\u2264":[64,66],"t":[65,94],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sup>":[70,99],"are":[71],"singularity":[72],"functions,":[73],"each":[74],"containing":[75],"one":[76,83],"stepwise":[77],"discontinuity":[78],"term":[79],"whose":[80],"magnitude":[81],"for":[93,113,118],"\u2265":[95],".":[100],"The":[101],"presented":[103],"envisaged":[105],"provide":[107],"simplified":[109],"tool":[110],"not":[111],"only":[112],"but":[116],"also":[117],"teaching":[120],"response.":[124]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}