166 citations · 655 across the 82 of their papers we have counts for
7 papers · 2 filters
Full Spark Frames
Boris Alexeev, Jameson Cahill, Dustin G. Mixon
Finite frame theory has a number of real-world applications. In applications like sparse signal processing, data transmission with robustness to erasures, and reconstruction withou…
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet +1
The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original pro…
Frame completions for optimally robust reconstruction
Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet
In information fusion, one is often confronted with the following problem: given a preexisting set of measurements about an unknown quantity, what new measurements should one colle…
Constructing finite frames of a given spectrum and set of lengths
Jameson Cahill, Matthew Fickus, Dustin G. Mixon +2
When constructing finite frames for a given application, the most important consideration is the spectrum of the frame operator. Indeed, the minimum and maximum eigenvalues of the…
Frame Coherence and Sparse Signal Processing
Dustin G. Mixon, Waheed U. Bajwa, Robert Calderbank
The sparse signal processing literature often uses random sensing matrices to obtain performance guarantees. Unfortunately, in the real world, sensing matrices do not always come f…
Every Hilbert space frame has a Naimark complement
Peter G. Casazza, Matt Fickus, Dustin Mixon +2
Naimark complements for Hilbert space Parseval frames are one of the most fundamental and useful results in the field of frame theory. We will show that actually all Hilbert space…