Uncertainty in time-frequency representations on finite Abelian groups and applications
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Publication:942155
DOI10.1016/j.acha.2007.09.008zbMath1148.43006arXivmath/0611493OpenAlexW2069776505WikidataQ57929841 ScholiaQ57929841MaRDI QIDQ942155
Peter Rashkov, Felix Krahmer, Götz E. Pfander
Publication date: 4 September 2008
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611493
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Cites Work
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- Random sampling of sparse trigonometric polynomials
- Cauchy-Davenport theorem in group extensions.
- Gabor analysis over finite Abelian groups
- An uncertainty inequality for groups of order \(pq\)
- Chebotarëv and his density theorem
- The uncertainty principle: A mathematical survey
- Grassmannian frames with applications to coding and communication
- A weak qualitative uncertainty principle for compact groups
- Foundations of time-frequency analysis
- Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling
- An uncertainty principle for cyclic groups of prime order
- Finite normalized tight frames
- Equal-norm tight frames with erasures
- Linear independence of Gabor systems in finite dimensional vector spaces
- Quantitative robust uncertainty principles and optimally sparse decompositions
- Uncertainty Principles and Signal Recovery
- Minimizing functions for an uncertainty principle on locally compact groups of bounded representation dimension
- The Uncertainty Principle on Groups
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Generalized Vandermonde Determinants and Roots of Unity of Prime Order
- Identification of Matrices Having a Sparse Representation
- Support size restrictions on time‐frequency representations of functions on finite abelian groups
- Compressed sensing
- An introduction to frames and Riesz bases
- Quantized frame expansions with erasures