Secrecy in MIMO Networks with No Eavesdropper CSIT
Pritam Mukherjee, Sennur Ulukus

TL;DR
This paper investigates the secure degrees of freedom in MIMO wiretap and multiple access channels without eavesdropper CSIT, revealing optimal s.d.o.f. regimes and the impact of CSIT absence on security performance.
Contribution
It determines the optimal sum secure degrees of freedom for MIMO wiretap and MAC channels without eavesdropper CSIT across different antenna regimes, highlighting the regimes where the channels reduce to simpler models.
Findings
Optimal s.d.o.f. characterized for regimes K ≤ N and N ≤ K ≤ 2N.
MAC-WT reduces to WTH when K ≤ N.
Loss of s.d.o.f. occurs without eavesdropper CSIT when K ≥ N.
Abstract
We consider two fundamental multi-user channel models: the multiple-input multiple-output (MIMO) wiretap channel with one helper (WTH) and the MIMO multiple access wiretap channel (MAC-WT). In each case, the eavesdropper has antennas while the remaining terminals have antennas each. We consider a fast fading channel where the channel state information (CSI) of the legitimate receiver is available at the transmitters but no channel state information at the transmitters (CSIT) is available for the eavesdropper's channel. We determine the optimal sum secure degrees of freedom (s.d.o.f.) for each channel model for the regime , and show that in this regime, the MAC-WT channel reduces to the WTH in the absence of eavesdropper CSIT. For the regime , we obtain the optimal linear s.d.o.f., and show that the MAC-WT channel and the WTH have the same optimal…
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