Tight frames generated by finite nonabelian groups

DOI10.1007/s11075-008-9167-xzbMath1152.42011OpenAlexW2047492021MaRDI QIDQ937168

Richard Vale, Shayne F. D. Waldron

Publication date: 20 August 2008

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9167-x

zbMATH Keywords

Signal processingRepresentation theoryInformation theoryGramian matrixTight framesFinite nonabelian groupsGeometrically uniform framesGroup matricesHarmonic frames

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (16)

The construction of \(G\)-invariant finite tight frames ⋮ Frame scalings: a condition number approach ⋮ Binary Parseval frames from group orbits ⋮ The Fourier transform of a projective group frame ⋮ Frames generated by compact group actions ⋮ On twisted group frames ⋮ On the construction of highly symmetric tight frames and complex polytopes ⋮ Second-order matrix concentration inequalities ⋮ Optimal line packings from nonabelian groups ⋮ Frame vector multipliers for finite group representations ⋮ A classification of the harmonic frames up to unitary equivalence ⋮ Frame multiplication theory and a vector-valued DFT and ambiguity function ⋮ The symmetry group of a finite frame ⋮ Fourier Operators in Applied Harmonic Analysis ⋮ OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS ⋮ Constructing Tight Gabor Frames Using CAZAC Sequences

Cites Work

• Tight frames and their symmetries
• The uniqueness of the dual of Weyl--Heisenberg subspace frames
• Designing local orthogonal bases on finite groups. II: Nonabelian case
• Frames, bases and group representations
• On quantum detection and the square-root measurement
• Geometrically uniform frames
• Rings of continuous functions, symmetric products, and Frobenius algebras
• Balian–Low phenomenon for subspace Gabor frames
• Classification of Finite Group-Frames and Super-Frames
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