Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distortion Limited Amplify-and-forward Relay Networks and the
  $\epsilon$-critical Phase Transition   We study amplify-and-forward (AF) relay networks operating with source and
relay amplifier distortion, where the distortion dominates the noise power. The
diversity order is shown to be $0$ for fixed-gain (FG) and $1$ for
variable-gain (VG) if distortion occurs at the relay; if distortion occurs only
at the source, the diversity order will be $1$ for both. With
$\epsilon_\beta=N_0/\eta_\beta$ ($N_0$ the noise power, $\eta_\beta$ the
distortion power at node $\beta\in\{S,R\}$, the source or relay), we
demonstrate the emergence of what we call an $\epsilon$-critical
signal-to-noise plus distortion ratio (SNDR) threshold (a threshold that
emerges when $\min\{\epsilon_\beta\}$ becomes small) for both forwarding
protocols. We show that crossing this threshold in distortion limited regions
will cause a phase transition (a dramatic drop) in the network's outage
probability. Thus, small reductions in the required end-to-end transmission
rate can have significant reductions in the network's outage probability.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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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: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: eess