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We investigate the problem of common randomness (CR) generation from discretecorrelated sources aided by one-way communication over single-usermultiple-input multiple-output (MIMO) slow fading channels with additive whiteGaussian noise (AWGN), arbitrary state distribution and with channel stateinformation available at the receiver side (CSIR). We completely solve theproblem by first characterizing the channel outage capacity of MIMO slow fadingchannels for arbitrary state distribution. For this purpose, we also provide anachievable rate for a specific compound MIMO Gaussian channel. Second, wedefine the outage CR capacity of the MIMO slow fading channel and establish asingle-letter characterization of it using our result on its outagetransmission capacity.

Outage Common Randomness Capacity Characterization of Multiple-Antenna Slow Fading Channels