613 citations · 2k across the 113 of their papers we have counts for
19 papers · 1 filter
Pseudo-Wigner Matrices
Ilya Soloveychik, Yu Xiang, Vahid Tarokh
We consider the problem of generating pseudo-random matrices based on the similarity of their spectra to Wigner's semicircular law. We introduce the notion of an r-independent pseu…
Comment on "Asymptotic Achievability of the Cramér-Rao Bound for Noisy Compressive Sampling"
Behtash Babadi, Nicholas Kalouptsidis, Vahid Tarokh
In [1], we proved the asymptotic achievability of the Cramér-Rao bound in the compressive sensing setting in the linear sparsity regime. In the proof, we used an erroneous closed-f…
Capacity of Hexagonal Checkerboard Codes
Zhun Deng, Jie Ding, Mohammad Noshad +1
In this paper, we propose a new method to bound the capacity of checkerboard codes on the hexagonal lattice. This produces rigorous bounds that are tighter than those commonly know…
Complementary Lattice Arrays for Coded Aperture Imaging
Jie Ding, Mohammad Noshad, Vahid Tarokh
In this work, we consider complementary lattice arrays in order to enable a broader range of designs for coded aperture imaging systems. We provide a general framework and methods…
The Number of Independent Sets in Hexagonal Graphs
Zhun Deng, Jie Ding, Mohammad Noshad +1
A new method is proposed to derive rigorous bounds on η, the growth rate of the logarithm of the number of independent sets on a hexagonal lattice. Specifically, we prove that 1.54…
New Conditions for Sparse Phase Retrieval
Mehmet Akçakaya, Vahid Tarokh
We consider the problem of sparse phase retrieval, where a -sparse signal is measured as ${\bf y} = |{\bf Ax}|…