  This paper analyzes the problem of common randomness (CR) generation from
correlated discrete sources aided by unidirectional communication over
Single-Input Single-Output (SISO) slow fading channels with additive white
Gaussian noise (AWGN) and arbitrary state distribution. Slow fading channels
are practically relevant for wireless communications.
  We completely solve the SISO slow fading case by establishing its
corresponding outage CR capacity using our characterization of its channel
outage capacity.
  The generated CR could be exploited to improve the performance gain in the
identification scheme. The latter is known to be more efficient than the
classical transmission scheme in many new applications, which demand
ultra-reliable low latency communication.
