Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super-Resolution of Complex Exponentials from Modulations with Unknown
  Waveforms   Super-resolution is generally referred to as the task of recovering fine
details from coarse information. Motivated by applications such as
single-molecule imaging, radar imaging, etc., we consider parameter estimation
of complex exponentials from their modulations with unknown waveforms, allowing
for non-stationary blind super-resolution. This problem, however, is ill-posed
since both the parameters associated with the complex exponentials and the
modulating waveforms are unknown. To alleviate this, we assume that the unknown
waveforms live in a common low-dimensional subspace. Using a lifting trick, we
recast the blind super-resolution problem as a structured low-rank matrix
recovery problem. Atomic norm minimization is then used to enforce the
structured low-rankness, and is reformulated as a semidefinite program that is
solvable in polynomial time. We show that, up to scaling ambiguities, exact
recovery of both of the complex exponential parameters and the unknown
waveforms is possible when the waveform subspace is random and the number of
measurements is proportional to the number of degrees of freedom in the
problem. Numerical simulations support our theoretical findings, showing that
non-stationary blind super-resolution using atomic norm minimization is
possible.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph