Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AWGN-Goodness is Enough: Capacity-Achieving Lattice Codes based on
  Dithered Probabilistic Shaping   In this paper we show that any sequence of infinite lattice constellations
which is good for the unconstrained Gaussian channel can be shaped into a
capacity-achieving sequence of codes for the power-constrained Gaussian channel
under lattice decoding and non-uniform signalling. Unlike previous results in
the literature, our scheme holds with no extra condition on the lattices (e.g.
quantization-goodness or vanishing flatness factor), thus establishing a direct
implication between AWGN-goodness, in the sense of Poltyrev, and
capacity-achieving codes. Our analysis uses properties of the discrete Gaussian
distribution in order to obtain precise bounds on the probability of error and
achievable rates. In particular, we obtain a simple characterization of the
finite-blocklength behavior of the scheme, showing that it approaches the
optimal dispersion coefficient for \textit{high} signal-to-noise ratio. We
further show that for \textit{low} signal-to-noise ratio the discrete Gaussian
over centered lattice constellations can not achieve capacity, and thus a shift
(or "dither") is essentially necessary.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat