Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak-Noise Modulation-Estimation of Vector Parameters   We address the problem of modulating a parameter onto a power-limited signal,
transmitted over a discrete-time Gaussian channel and estimating this parameter
at the receiver. Continuing an earlier work, where the optimal trade-off
between the weak-noise estimation performance and the outage probability
(threshold-effect breakdown) was studied for a single (scalar) parameter, here
we extend the derivation of the weak-noise estimation performance to the case
of a multi-dimensional vector parameter. This turns out to be a non-trivial
extension, that provides a few insights and it has some interesting
implications, which are discussed in depth. Several modifications and
extensions of the basic setup are also studied and discussed.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph