{"id":"https://openalex.org/W2146560484","doi":"https://doi.org/10.1109/icassp.2008.4518407","title":"Haar filter banks for I-D space signals","display_name":"Haar filter banks for I-D space signals","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2146560484","doi":"https://doi.org/10.1109/icassp.2008.4518407","mag":"2146560484"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2008.4518407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2008.4518407","pdf_url":null,"source":{"id":"https://openalex.org/S4210167542","display_name":"Proceedings of the ... IEEE International Conference on Acoustics, Speech, and Signal Processing","issn_l":"1520-6149","issn":["1520-6149","2379-190X"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-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/A5023723304","display_name":"Aliaksei Sandryhaila","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aliaksei Sandryhaila","raw_affiliation_strings":["Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","Carnegie-Mellon University, Pittsburgh, PA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie-Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101863660","display_name":"Jelena Kova\u010devi\u0107","orcid":"https://orcid.org/0000-0003-0139-2803"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jelena Kovacevic","raw_affiliation_strings":["Biomedical Engineering and Center for Bioimage Informatics, Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","Carnegie-Mellon University, Pittsburgh, PA"],"affiliations":[{"raw_affiliation_string":"Biomedical Engineering and Center for Bioimage Informatics, Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie-Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076407181","display_name":"Markus P\u00fcschel","orcid":"https://orcid.org/0000-0001-8834-8551"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Markus Puschel","raw_affiliation_strings":["Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","Carnegie-Mellon University, Pittsburgh, PA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie-Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023723304"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.3006,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48448687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3505","last_page":"3508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9993000030517578,"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":0.9993000030517578,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9987999796867371,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9973999857902527,"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/haar","display_name":"Haar","score":0.6626675128936768},{"id":"https://openalex.org/keywords/filter-bank","display_name":"Filter bank","score":0.6614999771118164},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6549891233444214},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6523956060409546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5649213790893555},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5298749208450317},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4811874032020569},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4804915189743042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47511014342308044},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4728308618068695},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45580506324768066},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.4281783103942871},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.423379123210907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.361785888671875},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3336111307144165},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.2746041417121887},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.2500426769256592},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.23507341742515564},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21038123965263367},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.18360117077827454},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18239763379096985},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14425763487815857},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07964512705802917},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.0726814866065979}],"concepts":[{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.6626675128936768},{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.6614999771118164},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6549891233444214},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6523956060409546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5649213790893555},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5298749208450317},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4811874032020569},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4804915189743042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47511014342308044},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4728308618068695},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45580506324768066},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.4281783103942871},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.423379123210907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.361785888671875},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3336111307144165},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.2746041417121887},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.2500426769256592},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.23507341742515564},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21038123965263367},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.18360117077827454},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18239763379096985},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14425763487815857},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07964512705802917},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0726814866065979},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2008.4518407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2008.4518407","pdf_url":null,"source":{"id":"https://openalex.org/S4210167542","display_name":"Proceedings of the ... IEEE International Conference on Acoustics, Speech, and Signal Processing","issn_l":"1520-6149","issn":["1520-6149","2379-190X"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1481646516","https://openalex.org/W1600546103","https://openalex.org/W1658679052","https://openalex.org/W1998849268","https://openalex.org/W2101789093","https://openalex.org/W2118193919"],"related_works":["https://openalex.org/W1551719041","https://openalex.org/W2118799423","https://openalex.org/W997673828","https://openalex.org/W2144405339","https://openalex.org/W2096998134","https://openalex.org/W2575993598","https://openalex.org/W2118299246","https://openalex.org/W32800168","https://openalex.org/W2161811162","https://openalex.org/W2184136511"],"abstract_inverted_index":{"We":[0],"derive":[1],"the":[2,37,45,76,100,109],"Haar":[3,81],"filter":[4,51,82,112],"bank":[5,83],"for":[6,16,84,118],"1-D":[7,17],"space":[8,18,31,85],"signals,":[9],"based":[10,128],"on":[11,28,108,123,129],"our":[12],"recently":[13],"introduced":[14],"framework":[15,43,73],"signal":[19,49,86],"processing,":[20,87],"termed":[21],"this":[22,68,72],"way":[23],"since":[24],"it":[25,91],"is":[26,61],"built":[27],"a":[29,80,93,116],"symmetric":[30],"shift":[32,40],"operation":[33],"in":[34],"contrast":[35],"to":[36,99],"directed":[38],"time":[39,65,101],"operation.":[41],"The":[42],"includes":[44],"proper":[46,77],"notions":[47,78],"of":[48,59,79,111],"and":[50,55,88,114],"spaces,":[52],"\u201cz-transform,\u201d":[53],"convolution,":[54],"Fourier":[56],"transform,":[57],"each":[58],"which":[60],"different":[62,96],"from":[63],"their":[64],"equivalents.":[66],"In":[67],"paper,":[69],"we":[70],"extend":[71],"by":[74],"deriving":[75],"show":[89],"that":[90],"has":[92],"similar":[94],"yet":[95],"form":[97],"compared":[98],"case.":[102],"Our":[103],"derivation":[104],"also":[105],"sheds":[106],"light":[107],"nature":[110],"banks":[113],"makes":[115],"case":[117],"viewing":[119],"them":[120],"as":[121,127],"projections":[122],"subspaces":[124],"rather":[125],"than":[126],"filters.":[130]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}