Discrete and continuous Welch bounds for Banach spaces with applications

Cites Work

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Continuous framings for Banach spaces
A mathematical introduction to compressive sensing
Optimal asymptotic bounds for spherical designs
Unconditional structures of translates for $L_p(\mathbb R^d)$
The trace formula in Banach spaces
A friendly guide to wavelets
Minimization of the probabilistic $p$-frame potential
Geometric properties of Grassmannian frames for $\mathbb R^2$ and $\mathbb R^3$
Frame potentials and the geometry of frames
Coefficient quantization for frames in Banach spaces
On the existence of equiangular tight frames
Codebooks from almost difference sets
Averaging sets: A generalization of mean values and spherical designs
Grassmannian frames with applications to coding and communication
An introduction to finite tight frames
Geometry of the Welch bounds
Continuous frames in Hilbert space
Finite normalized tight frames
Towards characterizations of approximate Schauder frame and its duals for Banach spaces
Equiangular lines with a fixed angle
Continuous Schauder frames for Banach spaces
Nearly orthogonal vectors and small antipodal spherical codes
Frame potential for finite-dimensional Banach spaces
Energy optimization for distributions on the sphere and improvement to the Welch bounds
QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY
Tight informationally complete quantum measurements
Grassmannian beamforming for multiple-input multiple-output wireless systems
Designing structured tight frames via an alternating projection method
Generalized welch bound equality sequences are tight frames
Achieving the Welch Bound With Difference Sets
Pettis integral and measure theory
Bounds on crosscorrelation and autocorrelation of sequences (Corresp.)
Lower bounds on the maximum cross correlation of signals (Corresp.)
Frames, bases and group representations
A Sharpening of the Welch Bounds and the Existence of Real and Complex Spherical $t$ –Designs
Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
Symmetric informationally complete quantum measurements
SIC-POVMs and the Stark Conjectures
Tight frames, Hadamard matrices and Zauner’s conjecture
Equiangular frames and generalizations of the Welch bound to dual pairs of frames
An Introduction to Algebraic Statistics with Tensors
Construction of Continuous Frames in Hilbert spaces
Symmetric Tensors and Symmetric Tensor Rank
Remarks on Naimark’s duality
Welch bounds for cross correlation of subspaces and generalizations
The Closest Packing of Spherical Caps in n Dimensions
Biorthogonal systems in Banach spaces