FAST COMPUTATIONAL ALGORITHMS FOR THE DISCRETE COSINE TRANSFORM

Name: Work Video:
Duration: 3 min 30 s
Description: Fast algorithms for computation of the discrete cosine transform (DCT) are evaluated. Implementation via the fast Fourier transform and also by the direct method are considered. DCT algorithms for arbitrary sequence lengths are also included.
M. Chelemal-D; K.R. Rao
{'id': 'https://openalex.org/W2183552140', 'doi': None, 'title': 'FAST COMPUTATIONAL ALGORITHMS FOR THE DISCRETE COSINE TRANSFORM', 'display_name': 'FAST COMPUTATIONAL ALGORITHMS FOR THE DISCRETE COSINE TRANSFORM', 'publication_year': 1986, 'publication_date': '1986-01-01', 'ids': {'openalex': 'https://openalex.org/W2183552140', 'mag': '2183552140'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'http://ieeexplore.ieee.org/iel4/5502/14788/00671464.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': [], '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/A5055565774', 'display_name': 'M. Chelemal-D', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'M. Chelemal-D', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5078861665', 'display_name': 'K.R. Rao', 'orcid': 'https://orcid.org/0000-0002-8513-3114'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'K. R. Rao', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.869, 'has_fulltext': False, 'cited_by_count': 18, 'citation_normalized_percentile': {'value': 0.741039, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 85, 'max': 86}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11034', 'display_name': 'Digital Filter Design and Implementation', 'score': 0.9998, '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'}}, 'topics': [{'id': 'https://openalex.org/T11034', 'display_name': 'Digital Filter Design and Implementation', 'score': 0.9998, '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': 0.9959, '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'}}, {'id': 'https://openalex.org/T10901', 'display_name': 'Advanced Data Compression Techniques', 'score': 0.9956, '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/discrete-sine-transform', 'display_name': 'Discrete sine transform', 'score': 0.6850351}, {'id': 'https://openalex.org/keywords/lapped-transform', 'display_name': 'Lapped transform', 'score': 0.64408827}, {'id': 'https://openalex.org/keywords/discrete-hartley-transform', 'display_name': 'Discrete Hartley transform', 'score': 0.6350211}, {'id': 'https://openalex.org/keywords/sequence', 'display_name': 'Sequence (biology)', 'score': 0.45111823}], 'concepts': [{'id': 'https://openalex.org/C2221639', 'wikidata': 'https://www.wikidata.org/wiki/Q2877', 'display_name': 'Discrete cosine transform', 'level': 3, 'score': 0.94333065}, {'id': 'https://openalex.org/C28726691', 'wikidata': 'https://www.wikidata.org/wiki/Q1268231', 'display_name': 'Modified discrete cosine transform', 'level': 5, 'score': 0.7329857}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.72894037}, {'id': 'https://openalex.org/C167058841', 'wikidata': 'https://www.wikidata.org/wiki/Q971039', 'display_name': 'Discrete sine transform', 'level': 5, 'score': 0.6850351}, {'id': 'https://openalex.org/C57733114', 'wikidata': 'https://www.wikidata.org/wiki/Q1006032', 'display_name': 'Discrete Fourier transform (general)', 'level': 5, 'score': 0.67349076}, {'id': 'https://openalex.org/C91458471', 'wikidata': 'https://www.wikidata.org/wiki/Q17096468', 'display_name': 'Lapped transform', 'level': 5, 'score': 0.64408827}, {'id': 'https://openalex.org/C192853989', 'wikidata': 'https://www.wikidata.org/wiki/Q1006531', 'display_name': 'Discrete Hartley transform', 'level': 5, 'score': 0.6350211}, {'id': 'https://openalex.org/C75172450', 'wikidata': 'https://www.wikidata.org/wiki/Q623950', 'display_name': 'Fast Fourier transform', 'level': 2, 'score': 0.52196896}, {'id': 'https://openalex.org/C47615080', 'wikidata': 'https://www.wikidata.org/wiki/Q1328722', 'display_name': 'Sine and cosine transforms', 'level': 5, 'score': 0.5176571}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.5154975}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.47055414}, {'id': 'https://openalex.org/C169805256', 'wikidata': 'https://www.wikidata.org/wiki/Q1361381', 'display_name': 'Transform coding', 'level': 4, 'score': 0.4650755}, {'id': 'https://openalex.org/C2778112365', 'wikidata': 'https://www.wikidata.org/wiki/Q3511065', 'display_name': 'Sequence (biology)', 'level': 2, 'score': 0.45111823}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.4200998}, {'id': 'https://openalex.org/C102519508', 'wikidata': 'https://www.wikidata.org/wiki/Q6520159', 'display_name': 'Fourier transform', 'level': 2, 'score': 0.39129442}, {'id': 'https://openalex.org/C76563020', 'wikidata': 'https://www.wikidata.org/wiki/Q4817582', 'display_name': 'Fractional Fourier transform', 'level': 4, 'score': 0.27892706}, {'id': 'https://openalex.org/C31972630', 'wikidata': 'https://www.wikidata.org/wiki/Q844240', 'display_name': 'Computer vision', 'level': 1, 'score': 0.2590493}, {'id': 'https://openalex.org/C203024314', 'wikidata': 'https://www.wikidata.org/wiki/Q1365258', 'display_name': 'Fourier analysis', 'level': 3, 'score': 0.19709304}, {'id': 'https://openalex.org/C115961682', 'wikidata': 'https://www.wikidata.org/wiki/Q860623', 'display_name': 'Image (mathematics)', 'level': 2, 'score': 0.12500069}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.096701294}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C54355233', 'wikidata': 'https://www.wikidata.org/wiki/Q7162', 'display_name': 'Genetics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'http://ieeexplore.ieee.org/iel4/5502/14788/00671464.pdf', 'pdf_url': None, 'source': None, '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': 23, 'referenced_works': ['https://openalex.org/W1622620102', 'https://openalex.org/W1632885578', 'https://openalex.org/W1967066785', 'https://openalex.org/W1988431799', 'https://openalex.org/W2001404638', 'https://openalex.org/W2005245503', 'https://openalex.org/W2007474983', 'https://openalex.org/W2018001450', 'https://openalex.org/W2039544376', 'https://openalex.org/W2046344940', 'https://openalex.org/W2055682261', 'https://openalex.org/W2057460734', 'https://openalex.org/W2065751885', 'https://openalex.org/W2099465620', 'https://openalex.org/W2109597659', 'https://openalex.org/W2114798233', 'https://openalex.org/W2124597693', 'https://openalex.org/W2144497697', 'https://openalex.org/W2148131038', 'https://openalex.org/W2186435531', 'https://openalex.org/W2990409661', 'https://openalex.org/W3013700589', 'https://openalex.org/W615530367'], 'related_works': ['https://openalex.org/W830128680', 'https://openalex.org/W633347224', 'https://openalex.org/W2802983983', 'https://openalex.org/W262333251', 'https://openalex.org/W2593022391', 'https://openalex.org/W2162599980', 'https://openalex.org/W2148248162', 'https://openalex.org/W2105815873', 'https://openalex.org/W2101402470', 'https://openalex.org/W2101094424', 'https://openalex.org/W2080480411', 'https://openalex.org/W2037221767', 'https://openalex.org/W2031614119', 'https://openalex.org/W2013824842', 'https://openalex.org/W1993363272', 'https://openalex.org/W1992769199', 'https://openalex.org/W1968078852', 'https://openalex.org/W1964786590', 'https://openalex.org/W1575606251', 'https://openalex.org/W108184867'], 'abstract_inverted_index': {'Fast': [0], 'algorithms': [1, 27], 'for': [2, 28], 'computation': [3], 'of': [4], 'the': [5, 14, 21], 'discrete': [6], 'cosine': [7], 'transform': [8, 17], '(DCT)': [9], 'are': [10, 24, 32], 'evaluated.': [11], 'Implementation': [12], 'via': [13], 'fast': [15], 'Fourier': [16], 'and': [18], 'also': [19, 33], 'by': [20], 'direct': [22], 'method': [23], 'considered.': [25], 'DCT': [26], 'arbitrary': [29], 'sequence': [30], 'lengths': [31], 'included.': [34]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2183552140', 'counts_by_year': [{'year': 2021, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-15T01:20:44.215680', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
