78 citations · 191 across the 26 of their papers we have counts for
32 papers · 1 filter
Incoherent filter banks
William J. Brinkley, Matthew Fickus, John Jasper +1
Equi-isoclinic (EI) and equichordal (EC) tight fusion frames (TFFs) are types of minimally coherent (maximally orthogonal) subspace packings that arise in several applications, suc…
The Singer-Zauner gap for equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon
We show that there does not exist a complex equiangular tight frame with \[ d^2-d+1<n<d^2. \] The proof, which originated from an internal model at OpenAI, mimics the r…
Doubly transitive equiangular tight frames that contain regular simplices
Matthew Fickus, Evan C. Lake
An equiangular tight frame (ETF) is a finite sequence of equal norm vectors in a Hilbert space that achieves equality in the Welch bound, and so has minimal coherence. The binder o…
On the value of the fifth maximal projection constant
Beata Derȩgowska, Matthew Fickus, Simon Foucart +1
Let denote the maximal absolute projection constant over real -dimensional subspaces. This quantity is extremely hard to determine exactly, as testified by the fact that…
Certifying the novelty of equichordal tight fusion frames
Matthew Fickus, Benjamin R. Mayo, Cody E. Watson
An equichordal tight fusion frame (ECTFF) is a finite sequence of equi-dimensional subspaces of a finite-dimensional Hilbert space that achieves equality in Conway, Hardin and Sloa…
Grassmannian codes from paired difference sets
Matthew Fickus, Joseph W. Iverson, John Jasper +1
An equiangular tight frame (ETF) is a sequence of vectors in a Hilbert space that achieves equality in the Welch bound and so has minimal coherence. More generally, an equichordal…