On the construction of discrete orthonormal Gabor bases on finite dimensional spaces

DOI10.1016/j.acha.2021.06.001zbMath1477.42035OpenAlexW3167922625MaRDI QIDQ1979924

Wei-Qi Zhou

Publication date: 3 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.acha.2021.06.001

zbMATH Keywords

discrete Gabor analysisdiscrete time-frequency analysisorthonormal Gabor matrix

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General harmonic expansions, frames (42C15) Orthogonal matrices (15B10)

Related Items (1)

The uncertainty principle for the short-time Fourier transform on finite cyclic groups: cases of equality

Cites Work

• Unnamed Item
• Unnamed Item
• The finite Heisenberg-Weyl groups in radar and communications
• A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic \(n\)-roots
• Discrete Gabor transforms: The Gabor-Gram matrix approach
• Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\)
• Linear independence of Gabor systems in finite dimensional vector spaces
• A note on Gabor frames in finite dimensions
• Sampling and Reconstruction of Operators
• Measurement of Time-Variant Linear Channels
• ON MUTUALLY UNBIASED BASES
• Gabor Frames in Finite Dimensions
• Fundamentals of Wireless Communication
• An Efficient Quantum Algorithm for the Hidden Subgroup Problem over Weyl-Heisenberg Groups

This page was built for publication: On the construction of discrete orthonormal Gabor bases on finite dimensional spaces