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...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
1993
|
| Series: | Signal Processing and Digital Filtering
|
| Subjects: | |
| Online Access: | BTU01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (XIV, 233 p) |
| ISBN: | 9781468402056 |
| DOI: | 10.1007/978-1-4684-0205-6 |
Staff View
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| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1007/978-1-4684-0205-6 |
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| isbn | 9781468402056 |
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| 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 |
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