Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Secrecy Capacity of Fast Fading MIMOME Wiretap Channels With
  Statistical CSIT   In this paper, we consider secure transmissions in ergodic Rayleigh
fast-faded multiple-input multiple-output multiple-antenna-eavesdropper
(MIMOME) wiretap channels with only statistical channel state information at
the transmitter (CSIT). When the legitimate receiver has more (or equal)
antennas than the eavesdropper, we prove the first MIMOME secrecy capacity with
partial CSIT by establishing a new secrecy capacity upper-bound. The key step
is to form an MIMOME degraded channel by dividing the legitimate receiver's
channel matrix into two submatrices, and setting one of the submatrices to be
the same as the eavesdropper's channel matrix. Next, under the total power
constraint over all transmit antennas, we analytically solve the channel-input
covariance matrix optimization problem to fully characterize the MIMOME secrecy
capacity. Typically, the MIMOME optimization problems are non-concave. However,
thank to the proposed degraded channel, we can transform the stochastic MIMOME
optimization problem to be a Schur-concave one and then find its solution.
Besides total power constraint, we also investigate the secrecy capacity when
the transmitter is subject to the practical per-antenna power constraint. The
corresponding optimization problem is even more difficult since it is not
Schuar-concave. Under the two power constraints considered, the corresponding
MIMOME secrecy capacities can both scale with the signal-to-noise ratios (SNR)
when the difference between numbers of antennas at legitimate receiver and
eavesdropper are large enough. However, when the legitimate receiver and
eavesdropper have a single antenna each, such SNR scalings do not exist for
both cases.

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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat