Time-Frequency Representations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
| Schriftenreihe: | Applied and Numerical Harmonic Analysis
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4612-4152-2 |
| Beschreibung: | The aim of this work is to present several topics in time-frequency analysis as subjects in abelian group theory. The algebraic point of view pre dominates as questions of convergence are not considered. Our approach emphasizes the unifying role played by group structures on the development of theory and algorithms. This book consists of two main parts. The first treats Weyl-Heisenberg representations over finite abelian groups and the second deals with mul tirate filter structures over free abelian groups of finite rank. In both, the methods are dimensionless and coordinate-free and apply to one and multidimensional problems. The selection of topics is not motivated by mathematical necessity but rather by simplicity. We could have developed Weyl-Heisenberg theory over free abelian groups of finite rank or more generally developed both topics over locally compact abelian groups. However, except for having to dis cuss conditions for convergence, Haar measures, and other standard topics from analysis the underlying structures would essentially be the same. A re cent collection of papers [17] provides an excellent review of time-frequency analysis over locally compact abelian groups. A further reason for limiting the scope of generality is that our results can be immediately applied to the design of algorithms and codes for time frequency processing |
| Umfang: | 1 Online-Ressource (XIV, 284 p) |
| ISBN: | 9781461241522 9781461286769 |
| DOI: | 10.1007/978-1-4612-4152-2 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4152-2 |
| format | Electronic eBook |
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| id | DE-604.BV042420232 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:42Z |
| institution | BVB |
| isbn | 9781461241522 9781461286769 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855649 |
| oclc_num | 1165440220 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XIV, 284 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Applied and Numerical Harmonic Analysis |
| spellingShingle | Tolimieri, Richard Time-Frequency Representations Mathematics Computer science / Mathematics Computer science Computational Mathematics and Numerical Analysis Signal, Image and Speech Processing Computational Science and Engineering Applications of Mathematics Informatik Mathematik Frequenzbereichsdarstellung (DE-588)4199376-7 gnd Zeitbereichsdarstellung (DE-588)4242739-3 gnd Abelsche Gruppe (DE-588)4140988-7 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd Frequenzanalyse (DE-588)4155397-4 gnd |
| subject_GND | (DE-588)4199376-7 (DE-588)4242739-3 (DE-588)4140988-7 (DE-588)4067486-1 (DE-588)4155397-4 |
| title | Time-Frequency Representations |
| title_auth | Time-Frequency Representations |
| title_exact_search | Time-Frequency Representations |
| title_full | Time-Frequency Representations by Richard Tolimieri, Myoung An |
| title_fullStr | Time-Frequency Representations by Richard Tolimieri, Myoung An |
| title_full_unstemmed | Time-Frequency Representations by Richard Tolimieri, Myoung An |
| title_short | Time-Frequency Representations |
| title_sort | time frequency representations |
| topic | Mathematics Computer science / Mathematics Computer science Computational Mathematics and Numerical Analysis Signal, Image and Speech Processing Computational Science and Engineering Applications of Mathematics Informatik Mathematik Frequenzbereichsdarstellung (DE-588)4199376-7 gnd Zeitbereichsdarstellung (DE-588)4242739-3 gnd Abelsche Gruppe (DE-588)4140988-7 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd Frequenzanalyse (DE-588)4155397-4 gnd |
| topic_facet | Mathematics Computer science / Mathematics Computer science Computational Mathematics and Numerical Analysis Signal, Image and Speech Processing Computational Science and Engineering Applications of Mathematics Informatik Mathematik Frequenzbereichsdarstellung Zeitbereichsdarstellung Abelsche Gruppe Zeitreihenanalyse Frequenzanalyse |
| url | https://doi.org/10.1007/978-1-4612-4152-2 |
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