Tight p-fusion frames
arXiv:1201.1798 · doi:10.1016/j.acha.2012.07.001
Abstract
Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the classical notions of designs and cubature formulas in Grassmann spaces and are analyzed with methods from harmonic analysis in the Grassmannians. We define the p-fusion frame potential, derive bounds for its value, and discuss the connections to tight p-fusion frames.
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- Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
- Constructions of biangular tight frames and their relationships with equiangular tight frames
- A Survey of Fusion Frames in Hilbert Spaces
- Cubatures on Grassmannians: moments, dimension reduction, and related topics
- Optimal arrangements of classical and quantum states with limited purity
- Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices
- From low to high-dimensional moments without magic
- Maximal Orthoplectic Fusion Frames from Mutually Unbiased Bases and Block Designs
- Preconditioning filter bank decompositions using structured normalized tight frames
- Constructions and properties of optimally spread subspace packings via symmetric and affine block designs and mutually unbiased bases
- On symmetric decompositions of positive operators