Time-frequency representations

zbMath0906.42002MaRDI QIDQ1375706

Richard Tolimieri, Myoung An

Publication date: 12 January 1998

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

Zak transformGabor analysisfinite abelian groupsmultirate filter structuresWeyl-Heisenberg representations

Mathematics Subject Classification ID

Finite abelian groups (20K01) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) General harmonic expansions, frames (42C15) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02) Locally compact abelian groups (LCA groups) (22B99)

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The finite Heisenberg-Weyl groups in radar and communications ⋮ Quasi-Banach modulation spaces and localization operators on locally compact abelian groups ⋮ Zak transforms on binary fields ⋮ Rates of convergence for the approximation of dual shift-invariant systems in \(\ell^2 (\mathbb{Z})\) ⋮ Ambiguity functions, Wigner distributions and Cohen's class for LCA groups