On minimal scalings of scalable frames
R Domagalski, YH Kim… - … Conference on Sampling …, 2015 - ieeexplore.ieee.org
A tight frame in R n is a redundant system which has a reconstruction formula similar to that
of an orthonormal basis. For a unit-norm frame F={fi} ki= 1, a scaling is a vector c=(c (l),..., c …
of an orthonormal basis. For a unit-norm frame F={fi} ki= 1, a scaling is a vector c=(c (l),..., c …
Preconditioning techniques in frame theory and probabilistic frames
KA Okoudjou - Finite Frame Theory: A Complete Introduction to …, 2016 - books.google.com
In this chapter we survey two topics that have recently been investigated in frame theory.
First, we give an overview of the class of scalable frames. These are (finite) frames with the …
First, we give an overview of the class of scalable frames. These are (finite) frames with the …
Minimal scalings and structural properties of scalable frames
A Chan, R Domagalski, YH Kim, SK Narayan… - arXiv preprint arXiv …, 2015 - arxiv.org
For a unit-norm frame $ F=\{f_i\} _ {i= 1}^ k $ in $\R^ n $, a scaling is a vector $ c=(c (1),\dots,
c (k))\in\R_ {\geq 0}^ k $ such that $\{\sqrt {c (i)} f_i\} _ {i= 1}^ k $ is a Parseval frame in $\R^ n …
c (k))\in\R_ {\geq 0}^ k $ such that $\{\sqrt {c (i)} f_i\} _ {i= 1}^ k $ is a Parseval frame in $\R^ n …
Dual Frame Completion Problem
R Aceska, YH Kim, SK Narayan - arXiv preprint arXiv:2501.09013, 2025 - arxiv.org
In this paper we present the construction of an exact dual frame under specific structural
assumptions posed on the dual frame. When given a frame $ F $ for a finite dimensional …
assumptions posed on the dual frame. When given a frame $ F $ for a finite dimensional …
Properties of the Factor Poset of a Frame Inr^ N
Y Kim, SK Narayan, X Zhang, R Domagalski… - Available at SSRN … - papers.ssrn.com
A frame in R n is a possibly redundant set of vectors {f_i} _ {i\in I} that span R n. A tight frame
in R n is a generalization of an orthonormal basis. A factor poset P of a frame is the …
in R n is a generalization of an orthonormal basis. A factor poset P of a frame is the …