Publication Information

{'id': 'https://openalex.org/W2054613697', 'doi': 'https://doi.org/10.1109/78.735297', 'title': 'A unified framework for the fractional Fourier transform', 'display_name': 'A unified framework for the fractional Fourier transform', 'publication_year': 1998, 'publication_date': '1998-01-01', 'ids': {'openalex': 'https://openalex.org/W2054613697', 'doi': 'https://doi.org/10.1109/78.735297', 'mag': '2054613697'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/78.735297', 'pdf_url': None, '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5066776199', 'display_name': 'Gianfranco Cariolaro', 'orcid': 'https://orcid.org/0000-0003-1778-3550'}, 'institutions': [], 'countries': ['IT'], 'is_corresponding': False, 'raw_author_name': 'G. Cariolaro', 'raw_affiliation_strings': ['Dipt. di Elettronica e Inf., Padova Univ., Italy'], 'affiliations': [{'raw_affiliation_string': 'Dipt. di Elettronica e Inf., Padova Univ., Italy', 'institution_ids': []}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5066420511', 'display_name': 'Tomaso Erseghe', 'orcid': 'https://orcid.org/0000-0003-3060-2013'}, 'institutions': [], 'countries': ['GB'], 'is_corresponding': False, 'raw_author_name': 'T. Erseghe', 'raw_affiliation_strings': ['[Snell and Wilcox Limited, Petersfield, UK]'], 'affiliations': [{'raw_affiliation_string': '[Snell and Wilcox Limited, Petersfield, UK]', 'institution_ids': []}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5062685939', 'display_name': 'P. Kraniauskas', 'orcid': None}, 'institutions': [], 'countries': ['GB'], 'is_corresponding': False, 'raw_author_name': 'P. Kraniauskas', 'raw_affiliation_strings': ['[SoutHampton, UK]'], 'affiliations': [{'raw_affiliation_string': '[SoutHampton, UK]', 'institution_ids': []}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5052660139', 'display_name': 'Nicola Laurenti', 'orcid': 'https://orcid.org/0000-0001-7592-1929'}, 'institutions': [{'id': 'https://openalex.org/I138689650', 'display_name': 'University of Padua', 'ror': 'https://ror.org/00240q980', 'country_code': 'IT', 'type': 'education', 'lineage': ['https://openalex.org/I138689650']}], 'countries': ['IT'], 'is_corresponding': False, 'raw_author_name': 'N. Laurenti', 'raw_affiliation_strings': ['Dipartimento di Elettronica ed Informatica, Universita’ di Padova, Padova, Italy'], 'affiliations': [{'raw_affiliation_string': 'Dipartimento di Elettronica ed Informatica, Universita’ di Padova, Padova, Italy', 'institution_ids': ['https://openalex.org/I138689650']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 4.215, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 89, 'citation_normalized_percentile': {'value': 0.975491, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': '46', 'issue': '12', 'first_page': '3206', 'last_page': '3219'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11210', 'display_name': 'Mathematical Analysis and Transform Methods', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T11210', 'display_name': 'Mathematical Analysis and Transform Methods', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T11034', 'display_name': 'Digital Filter Design and Implementation', 'score': 0.9923, '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/T10688', 'display_name': 'Image and Signal Denoising Methods', 'score': 0.991, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/aperiodic-graph', 'display_name': 'Aperiodic graph', 'score': 0.63338214}, {'id': 'https://openalex.org/keywords/eigenfunction', 'display_name': 'Eigenfunction', 'score': 0.54535}], 'concepts': [{'id': 'https://openalex.org/C76563020', 'wikidata': 'https://www.wikidata.org/wiki/Q4817582', 'display_name': 'Fractional Fourier transform', 'level': 4, 'score': 0.75375867}, {'id': 'https://openalex.org/C104247578', 'wikidata': 'https://www.wikidata.org/wiki/Q4779368', 'display_name': 'Aperiodic graph', 'level': 2, 'score': 0.63338214}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.57530653}, {'id': 'https://openalex.org/C102519508', 'wikidata': 'https://www.wikidata.org/wiki/Q6520159', 'display_name': 'Fourier transform', 'level': 2, 'score': 0.5712593}, {'id': 'https://openalex.org/C128803854', 'wikidata': 'https://www.wikidata.org/wiki/Q1307821', 'display_name': 'Eigenfunction', 'level': 3, 'score': 0.54535}, {'id': 'https://openalex.org/C36503486', 'wikidata': 'https://www.wikidata.org/wiki/Q11235244', 'display_name': 'Domain (mathematical analysis)', 'level': 2, 'score': 0.45816547}, {'id': 'https://openalex.org/C57733114', 'wikidata': 'https://www.wikidata.org/wiki/Q1006032', 'display_name': 'Discrete Fourier transform (general)', 'level': 5, 'score': 0.4535975}, {'id': 'https://openalex.org/C62058723', 'wikidata': 'https://www.wikidata.org/wiki/Q7049066', 'display_name': 'Non-uniform discrete Fourier transform', 'level': 5, 'score': 0.41876817}, {'id': 'https://openalex.org/C203024314', 'wikidata': 'https://www.wikidata.org/wiki/Q1365258', 'display_name': 'Fourier analysis', 'level': 3, 'score': 0.40325013}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.39993593}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.36684844}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.36309978}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.10360271}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.08614406}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, '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': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/78.735297', 'pdf_url': None, '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 30, 'referenced_works': ['https://openalex.org/W1543369230', 'https://openalex.org/W1596594654', 'https://openalex.org/W1990653879', 'https://openalex.org/W1992244412', 'https://openalex.org/W1994198985', 'https://openalex.org/W2018208713', 'https://openalex.org/W2027201262', 'https://openalex.org/W2032701360', 'https://openalex.org/W2035195608', 'https://openalex.org/W2040199575', 'https://openalex.org/W2053816326', 'https://openalex.org/W2061055171', 'https://openalex.org/W2069785763', 'https://openalex.org/W2072202056', 'https://openalex.org/W2072361402', 'https://openalex.org/W2078498319', 'https://openalex.org/W2099006587', 'https://openalex.org/W2102337953', 'https://openalex.org/W2108710836', 'https://openalex.org/W2110063971', 'https://openalex.org/W2132538465', 'https://openalex.org/W2136106070', 'https://openalex.org/W2145576488', 'https://openalex.org/W2151657679', 'https://openalex.org/W2166959930', 'https://openalex.org/W2169175428', 'https://openalex.org/W2610857016', 'https://openalex.org/W391578156', 'https://openalex.org/W4246487360', 'https://openalex.org/W63201508'], 'related_works': ['https://openalex.org/W3141389362', 'https://openalex.org/W2382218334', 'https://openalex.org/W2343504300', 'https://openalex.org/W2183889480', 'https://openalex.org/W2155549970', 'https://openalex.org/W2154898175', 'https://openalex.org/W2118155316', 'https://openalex.org/W2116983948', 'https://openalex.org/W2090697566', 'https://openalex.org/W2057875231'], 'abstract_inverted_index': {'The': [0, 88], 'paper': [1], 'investigates': [2], 'the': [3, 11, 31, 36, 39, 44, 49, 53, 56, 69, 76, 94, 98, 107], 'possibility': [4], 'for': [5, 16], 'giving': [6], 'a': [7, 62, 82], 'general': [8, 63, 89], 'definition': [9, 32, 65, 90], 'of': [10, 38, 112], 'fractional': [12, 83], 'Fourier': [13, 41], 'transform': [14, 42], '(FRT)': [15], 'all': [17], 'signal': [18, 50], 'classes': [19, 111], '[one-dimensional': [20], '(1-D)': [21], 'and': [22, 25, 28, 68], 'multidimensional,': [23], 'continuous': [24], 'discrete,': [26], 'periodic': [27], 'aperiodic].': [29], 'Since': [30], 'is': [33, 47, 66, 79, 85, 91, 100], 'based': [34], 'on': [35], 'eigenfunctions': [37], 'ordinary': [40], '(FT),': [43], 'preliminary': [45], 'conditions': [46], 'that': [48], 'domain/periodicity': [51], 'be': [52], 'same': [54], 'as': [55], 'FT': [57], 'domain/periodicity.': [58], 'Within': [59], 'these': [60], 'classes,': [61], 'FRT': [64, 70, 99, 108], 'formulated,': [67], 'properties': [71], 'are': [72], 'established.': [73], 'In': [74], 'addition,': [75], 'multiplicity': [77], '(which': [78], 'intrinsic': [80], 'in': [81, 93, 96, 109], 'operator)': [84], 'clearly': [86], 'developed.': [87], 'checked': [92], 'case': [95], 'which': [97], 'presently': [101], 'available': [102], 'and,': [103], 'moreover,': [104], 'to': [105], 'establish': [106], 'new': [110], 'signals.': [113]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2054613697', 'counts_by_year': [{'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 7}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 4}, {'year': 2017, 'cited_by_count': 4}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 4}], 'updated_date': '2024-12-14T05:05:47.438620', 'created_date': '2016-06-24'}