Foundations of Time-Frequency Analysis:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Applied and Numerical Harmonic Analysis
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4612-0003-1 |
| Beschreibung: | Time-frequency analysis is a modern branch of harmonic analysis. It comprises all those parts of mathematics and its applications that use the structure of translations and modulations (or time-frequency shifts) for the analysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and symmetrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elementary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantitative methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main orientation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D. |
| Umfang: | 1 Online-Ressource (XVI, 360 p) |
| ISBN: | 9781461200031 9781461265689 |
| ISSN: | 2296-5009 |
| DOI: | 10.1007/978-1-4612-0003-1 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
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| id | DE-604.BV042419400 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:40Z |
| institution | BVB |
| isbn | 9781461200031 9781461265689 |
| issn | 2296-5009 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854817 |
| oclc_num | 1184705231 |
| 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 (XVI, 360 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Applied and Numerical Harmonic Analysis |
| spellingShingle | Gröchenig, Karlheinz 1959- Foundations of Time-Frequency Analysis Engineering Topological Groups Computer engineering Signal, Image and Speech Processing Topological Groups, Lie Groups Operations Research, Management Science Electrical Engineering Ingenieurwissenschaften Signalverarbeitung (DE-588)4054947-1 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4067486-1 (DE-588)4626990-3 (DE-588)4215427-3 |
| title | Foundations of Time-Frequency Analysis |
| title_auth | Foundations of Time-Frequency Analysis |
| title_exact_search | Foundations of Time-Frequency Analysis |
| title_full | Foundations of Time-Frequency Analysis by Karlheinz Gröchenig |
| title_fullStr | Foundations of Time-Frequency Analysis by Karlheinz Gröchenig |
| title_full_unstemmed | Foundations of Time-Frequency Analysis by Karlheinz Gröchenig |
| title_short | Foundations of Time-Frequency Analysis |
| title_sort | foundations of time frequency analysis |
| topic | Engineering Topological Groups Computer engineering Signal, Image and Speech Processing Topological Groups, Lie Groups Operations Research, Management Science Electrical Engineering Ingenieurwissenschaften Signalverarbeitung (DE-588)4054947-1 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd Zeit-Frequenz-Analyse (DE-588)4626990-3 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Engineering Topological Groups Computer engineering Signal, Image and Speech Processing Topological Groups, Lie Groups Operations Research, Management Science Electrical Engineering Ingenieurwissenschaften Signalverarbeitung Zeitreihenanalyse Zeit-Frequenz-Analyse Wavelet |
| url | https://doi.org/10.1007/978-1-4612-0003-1 |
| work_keys_str_mv | AT grochenigkarlheinz foundationsoftimefrequencyanalysis |