Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An integral formula for large random rectangular matrices and its
  application to analysis of linear vector channels   A statistical mechanical framework for analyzing random linear vector
channels is presented in a large system limit. The framework is based on the
assumptions that the left and right singular value bases of the rectangular
channel matrix $\bH$ are generated independently from uniform distributions
over Haar measures and the eigenvalues of $\bH^{\rm T}\bH$ asymptotically
follow a certain specific distribution. These assumptions make it possible to
characterize the communication performance of the channel utilizing an integral
formula with respect to $\bH$, which is analogous to the one introduced by
Marinari {\em et. al.} in {\em J. Phys. A} {\bf 27}, 7647 (1994) for large
random square (symmetric) matrices. A computationally feasible algorithm for
approximately decoding received signals based on the integral formula is also
provided.

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th