3 papers
math.NA2026
Recovery of Integer Signals from Limited DFT Samples: Lattice Methods and Stability Analysis
Howard Levinson, Isaac Viviano
We analyze lattice-based algorithms for recovering integer-valued signals from partial discrete Fourier transform (DFT) measurements. These algorithms formulate signal recovery as…
math.NA2020
Structured Iterative Hard Thresholding with On- and Off-Grid Applications
Joseph S. Donato, Howard W. Levinson
We consider linear sparse recovery problems where additional structure regarding the support of the solution is known. The form of the structure considered is non-overlapping sets…
math.NA2020
Binary Discrete Fourier Transform and its Inversion
Howard W. Levinson, Vadim A. Markel
A binary vector of length has elements that are either 0 or 1. We investigate the question of whether and how a binary vector of known length can be reconstructed from a limite…