26 citations · 48 across the 5 of their papers we have counts for
8 papers · 1 filter
Hadamard Equiangular Tight Frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. They are often represented as the columns of a short, fat matrix. In certain applications…
Polyphase equiangular tight frames and abelian generalized quadrangles
Matthew Fickus, John Jasper, Dustin G. Mixon +2
An equiangular tight frame (ETF) is a type of optimal packing of lines in a finite-dimensional Hilbert space. ETFs arise in various applications, such as waveform design for wirele…
Tremain equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangu…
Equiangular tight frames with centroidal symmetry
Matthew Fickus, John Jasper, Dustin G. Mixon +2
An equiangular tight frame (ETF) is a set of unit vectors whose coherence achieves the Welch bound, and so is as incoherent as possible. Though they arise in many applications, onl…
Phase Retrieval By Projections
Jameson Cahill, Peter G. Casazza, Jesse Peterson +1
The problem of recovering a vector from the absolute values of its inner products against a family of measurement vectors has been well studied in mathematics and engineering. A ge…
Group-theoretic constructions of erasure-robust frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
In the field of compressed sensing, a key problem remains open: to explicitly construct matrices with the restricted isometry property (RIP) whose performance rivals those generate…