no code implementations • 22 Sep 2023 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
For these two steps to work together we need data from large arrays of receivers so the columns of the sensing matrix are incoherent for the first step, as well as from sub-arrays so that they are coherent enough to obtain the connectivity needed in the second step.
no code implementations • 23 Mar 2023 • Arnold D. Kim, Chrysoula Tsogka
Motivated by applications in unmanned aerial based ground penetrating radar for detecting buried landmines, we consider the problem of imaging small point like scatterers situated in a lossy medium below a random rough surface.
no code implementations • 6 Mar 2023 • Arnold D. Kim, Chrysoula Tsogka
The synthetic aperture imaging problem is then expanded to identify these targets and recover their locations and frequency dependent reflectivities.
no code implementations • 2 Aug 2022 • Arnold D. Kim, Chrysoula Tsogka
Then we introduce a modification to Kirchhoff Migration (KM) that uses the same mechanism to produces tunable, high-resolution images.
no code implementations • 1 Nov 2021 • Matan Leibovich, George Papanicolaou, Chrysoula Tsogka
We call this the rank-1 image and show that it provides superior image resolution compared to the usual single-point migration scheme for fast moving and rotating objects.
no code implementations • 11 Oct 2020 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
Compared to the sparse signal recovery problem that uses linear measurements, the unknown is now a matrix formed by the cross correlation of the unknown signal.
no code implementations • 5 Aug 2019 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
To improve the performance of $l_1$-minimization we propose to solve instead the augmented linear system $ [A \, | \, C] \rho =b$, where the $N \times \Sigma$ matrix $C$ is a noise collector.
no code implementations • 5 Aug 2019 • Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka
The ability to detect sparse signals from noisy high-dimensional data is a top priority in modern science and engineering.