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Focusing on the intersection of time-frequency analysis and abelian group theory, this work emphasizes the unifying role of group structures in developing theory and algorithms. It is divided into two parts: one covering Weyl-Heisenberg representations over finite abelian groups, and the other addressing multirate filter structures over free abelian groups of finite rank. The methods employed are dimensionless and coordinate-free, facilitating applications to both one and multidimensional problems, while prioritizing simplicity over mathematical necessity.
Buchkauf
Time-Frequency Representations, Myoung An, Richard Tolimieri
- Sprache
- Erscheinungsdatum
- 1997
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- Time-Frequency Representations
- Sprache
- Englisch
- Autor*innen
- Myoung An, Richard Tolimieri
- Verlag
- Birkhäuser Boston
- Erscheinungsdatum
- 1997
- Einband
- Hardcover
- Seitenzahl
- 308
- ISBN13
- 9780817639181
- Kategorie
- Mathematik
- Beschreibung
- Focusing on the intersection of time-frequency analysis and abelian group theory, this work emphasizes the unifying role of group structures in developing theory and algorithms. It is divided into two parts: one covering Weyl-Heisenberg representations over finite abelian groups, and the other addressing multirate filter structures over free abelian groups of finite rank. The methods employed are dimensionless and coordinate-free, facilitating applications to both one and multidimensional problems, while prioritizing simplicity over mathematical necessity.