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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.
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Time-Frequency Representations, Myoung An, Richard Tolimieri
- Language
- Released
- 1997
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- (Hardcover)
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- Title
- Time-Frequency Representations
- Language
- English
- Authors
- Myoung An, Richard Tolimieri
- Publisher
- Birkhäuser Boston
- Released
- 1997
- Format
- Hardcover
- Pages
- 308
- ISBN13
- 9780817639181
- Category
- Mathematics
- Description
- 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.