Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint Learning of Probabilistic and Geometric Shaping for Coded
  Modulation Systems   We introduce a trainable coded modulation scheme that enables joint
optimization of the bit-wise mutual information (BMI) through probabilistic
shaping, geometric shaping, bit labeling, and demapping for a specific channel
model and for a wide range of signal-to-noise ratios (SNRs). Compared to
probabilistic amplitude shaping (PAS), the proposed approach is not restricted
to symmetric probability distributions, can be optimized for any channel model,
and works with any code rate $k/m$, $m$ being the number of bits per channel
use and $k$ an integer within the range from $1$ to $m-1$. The proposed scheme
enables learning of a continuum of constellation geometries and probability
distributions determined by the SNR. Additionally, the PAS architecture with
Maxwell-Boltzmann (MB) as shaping distribution was extended with a neural
network (NN) that controls the MB shaping of a quadrature amplitude modulation
(QAM) constellation according to the SNR, enabling learning of a continuum of
MB distributions for QAM. Simulations were performed to benchmark the
performance of the proposed joint probabilistic and geometric shaping scheme on
additive white Gaussian noise (AWGN) and mismatched Rayleigh block fading (RBF)
channels.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph