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.NA2025
Estimation of a Gas Diffusion Coefficient by Fitting Molecular Dynamics Trajectories to Finite-Difference Simulations
Isaac Viviano
A procedure is presented to estimate the diffusion coefficient of a uniform patch of argon gas in a uniform background of helium gas. Molecular Dynamics (MD) simulations of the two…
math.NA2025
Recovery of Integer Images from Minimal DFT Measurements: Uniqueness and Inversion Algorithms
Howard W Levinson, Isaac Viviano
Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior…