Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Secrecy Capacity of a Gaussian Wiretap Channel With ADCs is Always
  Positive   We consider a complex Gaussian wiretap channel with finite-resolution
analog-to-digital converters (ADCs) at both the legitimate receiver and the
eavesdropper. For this channel, we show that a positive secrecy rate is always
achievable as long as the channel gains at the legitimate receiver and at the
eavesdropper are different, regardless of the quantization levels of the ADCs.
For the achievability, we first consider the case of one-bit ADCs at the
legitimate receiver and apply a binary input distribution where the two input
points have the same phase when the channel gain at the legitimate receiver is
less than that at the eavesdropper, and otherwise the opposite phase. Then the
result is generalized for the case of arbitrary finite-resolution ADCs at the
legitimate receiver by translating the input distribution appropriately. For
the special case of the real Gaussian wiretap channel with one-bit ADCs at both
the legitimate receiver and the eavesdropper, we show that our choice of input
distribution satisfies a necessary condition of optimal distributions for Wyner
codes.

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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
9
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: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex