On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-12

AUTHORS

Banu Ünalmış Uzun

ABSTRACT

We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform. More... »

PAGES

126

References to SciGraph publications

  • 1998-10. The Fractional Wave Packet Transform in MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
  • 2006-06. Strong Limit Power Functions in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
  • 2012-06. A novel fractional wavelet transform and its applications in SCIENCE CHINA INFORMATION SCIENCES
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13660-017-1402-3

    DOI

    http://dx.doi.org/10.1186/s13660-017-1402-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1085755117

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/28680229


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0906", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Electrical and Electronic Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "I\u015f\u0131k University", 
              "id": "https://www.grid.ac/institutes/grid.58192.37", 
              "name": [
                "Department of Mathematics, I\u015f\u0131k University, 34980, \u015eile, Istanbul, Turkey"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Uzun", 
            "givenName": "Banu \u00dcnalm\u0131\u015f", 
            "id": "sg:person.015104675473.23", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015104675473.23"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1155/2012/428142", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033959166"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00041-006-6004-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035221287", 
              "https://doi.org/10.1007/s00041-006-6004-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1008414608970", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045841183", 
              "https://doi.org/10.1023/a:1008414608970"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11432-011-4320-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049474037", 
              "https://doi.org/10.1007/s11432-011-4320-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/imamat/25.3.241", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059684861"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/78.330368", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061228887"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/97.544785", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061251085"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/97.551689", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061251091"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tsp.2007.895994", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061800634"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1364/josaa.10.001875", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1065157084"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1364/josaa.10.002181", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1065157118"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.4825631", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098553654"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2017-12", 
        "datePublishedReg": "2017-12-01", 
        "description": "We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1186/s13660-017-1402-3", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1136856", 
            "issn": [
              "1025-5834", 
              "1029-242X"
            ], 
            "name": "Journal of Inequalities and Applications", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2017"
          }
        ], 
        "name": "On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions", 
        "pagination": "126", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "691f40c274d59377fabda8dbd7198ec06ca803ee6359740d973a3dfd7f4adf09"
            ]
          }, 
          {
            "name": "pubmed_id", 
            "type": "PropertyValue", 
            "value": [
              "28680229"
            ]
          }, 
          {
            "name": "nlm_unique_id", 
            "type": "PropertyValue", 
            "value": [
              "101697598"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1186/s13660-017-1402-3"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1085755117"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1186/s13660-017-1402-3", 
          "https://app.dimensions.ai/details/publication/pub.1085755117"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T09:53", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000347_0000000347/records_89793_00000003.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1186%2Fs13660-017-1402-3"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1186/s13660-017-1402-3'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s13660-017-1402-3'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13660-017-1402-3'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13660-017-1402-3'


     

    This table displays all metadata directly associated to this object as RDF triples.

    108 TRIPLES      21 PREDICATES      41 URIs      21 LITERALS      9 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1186/s13660-017-1402-3 schema:about anzsrc-for:09
    2 anzsrc-for:0906
    3 schema:author N1379ffe002b245babb5a753c7a49d3c5
    4 schema:citation sg:pub.10.1007/s00041-006-6004-2
    5 sg:pub.10.1007/s11432-011-4320-x
    6 sg:pub.10.1023/a:1008414608970
    7 https://doi.org/10.1063/1.4825631
    8 https://doi.org/10.1093/imamat/25.3.241
    9 https://doi.org/10.1109/78.330368
    10 https://doi.org/10.1109/97.544785
    11 https://doi.org/10.1109/97.551689
    12 https://doi.org/10.1109/tsp.2007.895994
    13 https://doi.org/10.1155/2012/428142
    14 https://doi.org/10.1364/josaa.10.001875
    15 https://doi.org/10.1364/josaa.10.002181
    16 schema:datePublished 2017-12
    17 schema:datePublishedReg 2017-12-01
    18 schema:description We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.
    19 schema:genre research_article
    20 schema:inLanguage en
    21 schema:isAccessibleForFree true
    22 schema:isPartOf N153a066bd408488c9aab3906a5033907
    23 N4ad0924494ad44989545f884f3aa38f9
    24 sg:journal.1136856
    25 schema:name On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
    26 schema:pagination 126
    27 schema:productId N087f3f7a690747369378949ef0d89d49
    28 N1a02bfd8b24d4cff8ebac63c29368d6d
    29 N6d311c50b0a94f2bbac17e7579a32519
    30 N80917a7f47664bc4ad4a970356736ed1
    31 Nd9f5c898783b489498dfbfaed3464464
    32 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085755117
    33 https://doi.org/10.1186/s13660-017-1402-3
    34 schema:sdDatePublished 2019-04-11T09:53
    35 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    36 schema:sdPublisher Ne90d2559377c48af94146e6cc9a70101
    37 schema:url https://link.springer.com/10.1186%2Fs13660-017-1402-3
    38 sgo:license sg:explorer/license/
    39 sgo:sdDataset articles
    40 rdf:type schema:ScholarlyArticle
    41 N087f3f7a690747369378949ef0d89d49 schema:name dimensions_id
    42 schema:value pub.1085755117
    43 rdf:type schema:PropertyValue
    44 N1379ffe002b245babb5a753c7a49d3c5 rdf:first sg:person.015104675473.23
    45 rdf:rest rdf:nil
    46 N153a066bd408488c9aab3906a5033907 schema:issueNumber 1
    47 rdf:type schema:PublicationIssue
    48 N1a02bfd8b24d4cff8ebac63c29368d6d schema:name readcube_id
    49 schema:value 691f40c274d59377fabda8dbd7198ec06ca803ee6359740d973a3dfd7f4adf09
    50 rdf:type schema:PropertyValue
    51 N4ad0924494ad44989545f884f3aa38f9 schema:volumeNumber 2017
    52 rdf:type schema:PublicationVolume
    53 N6d311c50b0a94f2bbac17e7579a32519 schema:name pubmed_id
    54 schema:value 28680229
    55 rdf:type schema:PropertyValue
    56 N80917a7f47664bc4ad4a970356736ed1 schema:name doi
    57 schema:value 10.1186/s13660-017-1402-3
    58 rdf:type schema:PropertyValue
    59 Nd9f5c898783b489498dfbfaed3464464 schema:name nlm_unique_id
    60 schema:value 101697598
    61 rdf:type schema:PropertyValue
    62 Ne90d2559377c48af94146e6cc9a70101 schema:name Springer Nature - SN SciGraph project
    63 rdf:type schema:Organization
    64 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    65 schema:name Engineering
    66 rdf:type schema:DefinedTerm
    67 anzsrc-for:0906 schema:inDefinedTermSet anzsrc-for:
    68 schema:name Electrical and Electronic Engineering
    69 rdf:type schema:DefinedTerm
    70 sg:journal.1136856 schema:issn 1025-5834
    71 1029-242X
    72 schema:name Journal of Inequalities and Applications
    73 rdf:type schema:Periodical
    74 sg:person.015104675473.23 schema:affiliation https://www.grid.ac/institutes/grid.58192.37
    75 schema:familyName Uzun
    76 schema:givenName Banu Ünalmış
    77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015104675473.23
    78 rdf:type schema:Person
    79 sg:pub.10.1007/s00041-006-6004-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035221287
    80 https://doi.org/10.1007/s00041-006-6004-2
    81 rdf:type schema:CreativeWork
    82 sg:pub.10.1007/s11432-011-4320-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1049474037
    83 https://doi.org/10.1007/s11432-011-4320-x
    84 rdf:type schema:CreativeWork
    85 sg:pub.10.1023/a:1008414608970 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045841183
    86 https://doi.org/10.1023/a:1008414608970
    87 rdf:type schema:CreativeWork
    88 https://doi.org/10.1063/1.4825631 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098553654
    89 rdf:type schema:CreativeWork
    90 https://doi.org/10.1093/imamat/25.3.241 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059684861
    91 rdf:type schema:CreativeWork
    92 https://doi.org/10.1109/78.330368 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061228887
    93 rdf:type schema:CreativeWork
    94 https://doi.org/10.1109/97.544785 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061251085
    95 rdf:type schema:CreativeWork
    96 https://doi.org/10.1109/97.551689 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061251091
    97 rdf:type schema:CreativeWork
    98 https://doi.org/10.1109/tsp.2007.895994 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061800634
    99 rdf:type schema:CreativeWork
    100 https://doi.org/10.1155/2012/428142 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033959166
    101 rdf:type schema:CreativeWork
    102 https://doi.org/10.1364/josaa.10.001875 schema:sameAs https://app.dimensions.ai/details/publication/pub.1065157084
    103 rdf:type schema:CreativeWork
    104 https://doi.org/10.1364/josaa.10.002181 schema:sameAs https://app.dimensions.ai/details/publication/pub.1065157118
    105 rdf:type schema:CreativeWork
    106 https://www.grid.ac/institutes/grid.58192.37 schema:alternateName Işık University
    107 schema:name Department of Mathematics, Işık University, 34980, Şile, Istanbul, Turkey
    108 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...