13- https://doi.org/10.1109/sampta.2015.7148857
On minimal scalings of scalable frames
- May 1, 2015
- Rachel Domagalski +2 more
Abstract
A tight frame in Rn is a redundant system which has a reconstruction formula similar to that of an orthonormal basis. For a unit-norm frame F = {f i }k i=1 , a scaling is a vector c = (c(l),…, c(k)) e Rk≥0 such that {c(i)f i }k i=1 is a tight frame in Rn. If a scaling c exists, we say that F is a scalable frame. A scaling c is a minimal scaling if {fi : c{i) > 0} has no proper scalable subframes. In this paper, we present the uniqueness of the orthogonal partitioning property of any set of minimal scalings and provide a construction of scalable frames by extending the standard orthonormal basis of Rn.
- # Tight Frame
- # Scalable Frames
- # Scalable Frame
- # Orthonormal Basis
- # Redundant System
- # Construction Of Frames
- # Set Of Scalings
- # Orthogonal Property
- # Standard Basis
- # Unit-norm Frame
