1. Show that, at high SNRs, the capacity gain of a MIMO wireless communication system with the channel state known to the receiver is N = min{Nt,Nr} bits per second per hertz for every 3 dB increase in SNR.
2. To calculate the outage probability of MIMO systems, we use the complementary cumulative distribution function of the random channel matrix H rather than the cumulative probability function itself. Explain this rationale for calculating the outage probability.