Mathematics of Multidimensional Fourier Transform Algorithms:
The Fourier transform of large multidimensional data sets is an essen tial computation in many scientific and engineering fields, including seismology, X-ray crystallography, radar, sonar and medical imaging. Such fields require multidimensional arrays for complete and faithful modelling. Classical...
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer US
1993
|
Schriftenreihe: | Signal Processing and Digital Filtering
|
Schlagworte: | |
Online-Zugang: | BTU01 URL des Erstveröffentlichers |
Zusammenfassung: | The Fourier transform of large multidimensional data sets is an essen tial computation in many scientific and engineering fields, including seismology, X-ray crystallography, radar, sonar and medical imaging. Such fields require multidimensional arrays for complete and faithful modelling. Classically, a set of data is processed one dimension at a time, permitting control over the size of the computation and calling on well-established I-dimensional programs. The rapidly increasing availability of powerful computing chips, vector processors, multinode boards and parallel machines has provided new tools for carrying out multidimensional computations. Multidimensional processing offers a wider range of possible implementations as compared to I-dimensional the greater flexibility of movement in the data in processing, due to dexing set. This increased freedom, along with the massive size data sets typically found in multidimensional applications, places intensive demands on the communication aspects of the computation. The writ ing of code that takes into account all the algorithmic possibilities and matches these possibilities to the communication capabilities of the tar get architecture is an extremely time-consuming task. A major goal of this text is to provide a sufficiently abstra |
Beschreibung: | 1 Online-Ressource (XIV, 233 p) |
ISBN: | 9781468402056 |
DOI: | 10.1007/978-1-4684-0205-6 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV045185502 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 180912s1993 |||| o||u| ||||||eng d | ||
020 | |a 9781468402056 |9 978-1-4684-0205-6 | ||
024 | 7 | |a 10.1007/978-1-4684-0205-6 |2 doi | |
035 | |a (ZDB-2-ENG)978-1-4684-0205-6 | ||
035 | |a (OCoLC)1186343240 | ||
035 | |a (DE-599)BVBBV045185502 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-634 | ||
082 | 0 | |a 621.382 |2 23 | |
100 | 1 | |a Tolimieri, Richard |e Verfasser |4 aut | |
245 | 1 | 0 | |a Mathematics of Multidimensional Fourier Transform Algorithms |c by Richard Tolimieri, Myoung An, Chao Lu |
264 | 1 | |a New York, NY |b Springer US |c 1993 | |
300 | |a 1 Online-Ressource (XIV, 233 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Signal Processing and Digital Filtering | |
520 | |a The Fourier transform of large multidimensional data sets is an essen tial computation in many scientific and engineering fields, including seismology, X-ray crystallography, radar, sonar and medical imaging. Such fields require multidimensional arrays for complete and faithful modelling. Classically, a set of data is processed one dimension at a time, permitting control over the size of the computation and calling on well-established I-dimensional programs. The rapidly increasing availability of powerful computing chips, vector processors, multinode boards and parallel machines has provided new tools for carrying out multidimensional computations. Multidimensional processing offers a wider range of possible implementations as compared to I-dimensional the greater flexibility of movement in the data in processing, due to dexing set. This increased freedom, along with the massive size data sets typically found in multidimensional applications, places intensive demands on the communication aspects of the computation. The writ ing of code that takes into account all the algorithmic possibilities and matches these possibilities to the communication capabilities of the tar get architecture is an extremely time-consuming task. A major goal of this text is to provide a sufficiently abstra | ||
650 | 4 | |a Engineering | |
650 | 4 | |a Communications Engineering, Networks | |
650 | 4 | |a Algorithm Analysis and Problem Complexity | |
650 | 4 | |a Engineering | |
650 | 4 | |a Algorithms | |
650 | 4 | |a Electrical engineering | |
650 | 0 | 7 | |a Fourier-Transformation |0 (DE-588)4018014-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Mehrdimensionale Datenstruktur |0 (DE-588)4203964-2 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Fourier-Transformation |0 (DE-588)4018014-1 |D s |
689 | 0 | 1 | |a Mehrdimensionale Datenstruktur |0 (DE-588)4203964-2 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
700 | 1 | |a An, Myoung |4 aut | |
700 | 1 | |a Lu, Chao |4 aut | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781468402070 |
856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4684-0205-6 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-2-ENG | ||
940 | 1 | |q ZDB-2-ENG_Archiv | |
999 | |a oai:aleph.bib-bvb.de:BVB01-030574680 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
966 | e | |u https://doi.org/10.1007/978-1-4684-0205-6 |l BTU01 |p ZDB-2-ENG |q ZDB-2-ENG_Archiv |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804178875471626240 |
---|---|
any_adam_object | |
author | Tolimieri, Richard An, Myoung Lu, Chao |
author_facet | Tolimieri, Richard An, Myoung Lu, Chao |
author_role | aut aut aut |
author_sort | Tolimieri, Richard |
author_variant | r t rt m a ma c l cl |
building | Verbundindex |
bvnumber | BV045185502 |
collection | ZDB-2-ENG |
ctrlnum | (ZDB-2-ENG)978-1-4684-0205-6 (OCoLC)1186343240 (DE-599)BVBBV045185502 |
dewey-full | 621.382 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 621 - Applied physics |
dewey-raw | 621.382 |
dewey-search | 621.382 |
dewey-sort | 3621.382 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
doi_str_mv | 10.1007/978-1-4684-0205-6 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03326nmm a2200541zc 4500</leader><controlfield tag="001">BV045185502</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180912s1993 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781468402056</subfield><subfield code="9">978-1-4684-0205-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4684-0205-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-ENG)978-1-4684-0205-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1186343240</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045185502</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">621.382</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tolimieri, Richard</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematics of Multidimensional Fourier Transform Algorithms</subfield><subfield code="c">by Richard Tolimieri, Myoung An, Chao Lu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer US</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 233 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Signal Processing and Digital Filtering</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Fourier transform of large multidimensional data sets is an essen tial computation in many scientific and engineering fields, including seismology, X-ray crystallography, radar, sonar and medical imaging. Such fields require multidimensional arrays for complete and faithful modelling. Classically, a set of data is processed one dimension at a time, permitting control over the size of the computation and calling on well-established I-dimensional programs. The rapidly increasing availability of powerful computing chips, vector processors, multinode boards and parallel machines has provided new tools for carrying out multidimensional computations. Multidimensional processing offers a wider range of possible implementations as compared to I-dimensional the greater flexibility of movement in the data in processing, due to dexing set. This increased freedom, along with the massive size data sets typically found in multidimensional applications, places intensive demands on the communication aspects of the computation. The writ ing of code that takes into account all the algorithmic possibilities and matches these possibilities to the communication capabilities of the tar get architecture is an extremely time-consuming task. A major goal of this text is to provide a sufficiently abstra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Communications Engineering, Networks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algorithm Analysis and Problem Complexity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algorithms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrical engineering</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fourier-Transformation</subfield><subfield code="0">(DE-588)4018014-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mehrdimensionale Datenstruktur</subfield><subfield code="0">(DE-588)4203964-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fourier-Transformation</subfield><subfield code="0">(DE-588)4018014-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mehrdimensionale Datenstruktur</subfield><subfield code="0">(DE-588)4203964-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">An, Myoung</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lu, Chao</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781468402070</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4684-0205-6</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-ENG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-ENG_Archiv</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030574680</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4684-0205-6</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV045185502 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T08:10:55Z |
institution | BVB |
isbn | 9781468402056 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030574680 |
oclc_num | 1186343240 |
open_access_boolean | |
owner | DE-634 |
owner_facet | DE-634 |
physical | 1 Online-Ressource (XIV, 233 p) |
psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
publishDate | 1993 |
publishDateSearch | 1993 |
publishDateSort | 1993 |
publisher | Springer US |
record_format | marc |
series2 | Signal Processing and Digital Filtering |
spelling | Tolimieri, Richard Verfasser aut Mathematics of Multidimensional Fourier Transform Algorithms by Richard Tolimieri, Myoung An, Chao Lu New York, NY Springer US 1993 1 Online-Ressource (XIV, 233 p) txt rdacontent c rdamedia cr rdacarrier Signal Processing and Digital Filtering The Fourier transform of large multidimensional data sets is an essen tial computation in many scientific and engineering fields, including seismology, X-ray crystallography, radar, sonar and medical imaging. Such fields require multidimensional arrays for complete and faithful modelling. Classically, a set of data is processed one dimension at a time, permitting control over the size of the computation and calling on well-established I-dimensional programs. The rapidly increasing availability of powerful computing chips, vector processors, multinode boards and parallel machines has provided new tools for carrying out multidimensional computations. Multidimensional processing offers a wider range of possible implementations as compared to I-dimensional the greater flexibility of movement in the data in processing, due to dexing set. This increased freedom, along with the massive size data sets typically found in multidimensional applications, places intensive demands on the communication aspects of the computation. The writ ing of code that takes into account all the algorithmic possibilities and matches these possibilities to the communication capabilities of the tar get architecture is an extremely time-consuming task. A major goal of this text is to provide a sufficiently abstra Engineering Communications Engineering, Networks Algorithm Analysis and Problem Complexity Algorithms Electrical engineering Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Mehrdimensionale Datenstruktur (DE-588)4203964-2 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 s Mehrdimensionale Datenstruktur (DE-588)4203964-2 s 1\p DE-604 An, Myoung aut Lu, Chao aut Erscheint auch als Druck-Ausgabe 9781468402070 https://doi.org/10.1007/978-1-4684-0205-6 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Tolimieri, Richard An, Myoung Lu, Chao Mathematics of Multidimensional Fourier Transform Algorithms Engineering Communications Engineering, Networks Algorithm Analysis and Problem Complexity Algorithms Electrical engineering Fourier-Transformation (DE-588)4018014-1 gnd Mehrdimensionale Datenstruktur (DE-588)4203964-2 gnd |
subject_GND | (DE-588)4018014-1 (DE-588)4203964-2 |
title | Mathematics of Multidimensional Fourier Transform Algorithms |
title_auth | Mathematics of Multidimensional Fourier Transform Algorithms |
title_exact_search | Mathematics of Multidimensional Fourier Transform Algorithms |
title_full | Mathematics of Multidimensional Fourier Transform Algorithms by Richard Tolimieri, Myoung An, Chao Lu |
title_fullStr | Mathematics of Multidimensional Fourier Transform Algorithms by Richard Tolimieri, Myoung An, Chao Lu |
title_full_unstemmed | Mathematics of Multidimensional Fourier Transform Algorithms by Richard Tolimieri, Myoung An, Chao Lu |
title_short | Mathematics of Multidimensional Fourier Transform Algorithms |
title_sort | mathematics of multidimensional fourier transform algorithms |
topic | Engineering Communications Engineering, Networks Algorithm Analysis and Problem Complexity Algorithms Electrical engineering Fourier-Transformation (DE-588)4018014-1 gnd Mehrdimensionale Datenstruktur (DE-588)4203964-2 gnd |
topic_facet | Engineering Communications Engineering, Networks Algorithm Analysis and Problem Complexity Algorithms Electrical engineering Fourier-Transformation Mehrdimensionale Datenstruktur |
url | https://doi.org/10.1007/978-1-4684-0205-6 |
work_keys_str_mv | AT tolimieririchard mathematicsofmultidimensionalfouriertransformalgorithms AT anmyoung mathematicsofmultidimensionalfouriertransformalgorithms AT luchao mathematicsofmultidimensionalfouriertransformalgorithms |