Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-Time Capacity: Making Exceed-Shannon Possible?   Shannon-Hartley theorem can accurately calculate the channel capacity when
the signal observation time is infinite. However, the calculation of
finite-time capacity, which remains unknown, is essential for guiding the
design of practical communication systems. In this paper, we investigate the
capacity between two correlated Gaussian processes within a finite-time
observation window. We first derive the finite-time capacity by providing a
limit expression. Then we numerically compute the maximum transmission rate
within a single finite-time window. We reveal that the number of bits
transmitted per second within the finite-time window can exceed the classical
Shannon capacity, which is called as the Exceed-Shannon phenomenon.
Furthermore, we derive a finite-time capacity formula under a typical signal
autocorrelation case by utilizing the Mercer expansion of trace class
operators, and reveal the connection between the finite-time capacity problem
and the operator theory. Finally, we analytically prove the existence of the
Exceed-Shannon phenomenon in this typical case, and demonstrate the
achievability of the finite-time capacity and its compatibility with the
classical Shannon capacity.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn