Secure Degrees of Freedom of MIMO Rayleigh Block Fading Wiretap Channels With No CSI Anywhere
We contemplate the block Rayleigh fading multiple-input multiple-output (MIMO) wiretap channel with no previous channel state data (CSI) accessible at any of the terminals. The channel gains remain constant within a coherence interval of symbols, and then modification to a different independent realization in the next coherence interval. The transmitter, the legitimate receiver, and therefore the eavesdropper have , , and antennas, respectively. We have a tendency to determine the precise secure degrees of freedom (s.d.o.f.) of this method when . We show that, during this case, the s.d.o.f. is exactly equal to . The primary term during this expression can be interpreted because the eavesdropper with antennas doing away with antennas from each the transmitter and therefore the legitimate receiver. The second term will be interpreted as a fraction of the s.d.o.f. being lost due to the shortage of CSI at the legitimate receiver. In particular, the fraction loss, , will be interpreted as the fraction of channel uses dedicated to coaching the legitimate receiver for it to learn its own CSI. We tend to prove that this s.d.o.f. can be achieved by using a continuing norm channel input, that will be viewed as a generalization of discrete signalling to multiple dimensions.
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