Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Capacity Outer Bound and Degrees of Freedom of Wiener Phase Noise
  Channels with Oversampling   The discrete-time Wiener phase noise channel with an integrate-and-dump
multi-sample receiver is studied.
  A novel outer bound on the capacity with an average input power constraint is
derived as a function of the oversampling factor.
  This outer bound yields the degrees of freedom for the scenario in which the
oversampling factor grows with the transmit power $P$ as $P^{\alpha}$.
  The result shows, perhaps surprisingly, that the largest pre-log that can be
attained with phase modulation at high signal-to-noise ratio is at most $1/4$.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an