Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Data Processing Inequality and Its Applications in Distributed
  Source and Channel Coding   In the distributed coding of correlated sources, the problem of
characterizing the joint probability distribution of a pair of random variables
satisfying an n-letter Markov chain arises. The exact solution of this problem
is intractable. In this paper, we seek a single-letter necessary condition for
this n-letter Markov chain. To this end, we propose a new data processing
inequality on a new measure of correlation by means of spectrum analysis. Based
on this new data processing inequality, we provide a single-letter necessary
condition for the required joint probability distribution. We apply our results
to two specific examples involving the distributed coding of correlated
sources: multi-terminal rate-distortion region and multiple access channel with
correlated sources, and propose new necessary conditions for these two
problems.

7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin