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Focusing on time-frequency analysis through the lens of abelian group theory, this work highlights the unifying role of group structures in developing theory and algorithms. It is divided into two parts: the first explores Weyl-Heisenberg representations on finite abelian groups, while the second addresses multirate filter structures on free abelian groups of finite rank. The methods used are dimensionless and coordinate-free, making them applicable to both one and multidimensional problems. The selection of topics prioritizes simplicity to facilitate immediate application in algorithm design for time-frequency processing.
Buchkauf
Time-Frequency Representations, Myoung An, Richard Tolimieri
- Sprache
- Erscheinungsdatum
- 2012
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- (Paperback)
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- Titel
- Time-Frequency Representations
- Sprache
- Englisch
- Autor*innen
- Myoung An, Richard Tolimieri
- Verlag
- Birkhäuser Boston
- Erscheinungsdatum
- 2012
- Einband
- Paperback
- Seitenzahl
- 304
- ISBN13
- 9781461286769
- Kategorie
- Mathematik
- Beschreibung
- Focusing on time-frequency analysis through the lens of abelian group theory, this work highlights the unifying role of group structures in developing theory and algorithms. It is divided into two parts: the first explores Weyl-Heisenberg representations on finite abelian groups, while the second addresses multirate filter structures on free abelian groups of finite rank. The methods used are dimensionless and coordinate-free, making them applicable to both one and multidimensional problems. The selection of topics prioritizes simplicity to facilitate immediate application in algorithm design for time-frequency processing.