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## Physical layer security for MIMOME-OFDM systems: spatial versus temporal artificial noise

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In this chapter, we consider a general scenario with a hybrid time and spatial AN-injection scheme. In particular, we consider the MIMOME-OFDM wiretap channel, where each node is equipped with multiple antennas and the legitimate transmitter (Alice) has perfect knowledge of the CSI for the wireless links to her legitimate receiver (Bob) only, while the eavesdropper (Eve) has perfect CSI knowledge of all the links in the network. This global CSI assumption at Eve represents the best case scenario for Eve (the worst case scenario for Alice/Bob) since she knows all the channels between Alice and Bob as well as the used data and AN precoders at Alice. We exploit the spatial and temporal degrees of freedom provided by the available antennas and by the cyclic prefix (CP) structure of OFDM blocks, respectively, to confuse Eve and, hence, increase the secrecy rate of the legitimate system.

Chapter Contents:

• 16.1 Introduction
• 16.2 Preliminary
• 16.2.1 Spatial AN
• 16.2.2 Temporal AN
• 16.3 System model and artificial noise design
• 16.3.1 System model and assumptions
• 16.3.2 Proposed hybrid spatio-temporal AN-aided scheme
• 16.3.3 Received signal vector at Bob
• 16.3.4 Design of Alice's data precoder matrix and Bob's receive filter matrix
• 16.3.5 Design of Alice's temporal and spatial AN precoders
• 16.3.6 Received signal vector at Eve
• 16.4 Average secrecy rate
• 16.4.1 Asymptotic average rates in MIMOME-OFDM channels
• 16.4.2 Temporal AN versus spatial AN
• 16.5 Simulation results
• 16.6 Conclusions
• A.1 Appendices
• A.1.1 Proof of Lemma 16.1
• A.1.2 Distribution of F NE G̃ toep
• A.1.3 Distributions of G k A k A k * G k * and H k A k A k * H k *
• A.1.4 Proof of Lemma 16.2
• A.1.5 Proof of Lemma 16.3
• A.1.6 Proof of Lemma 16.4
• A.1.7 Proof of Lemma 16.6
• A.1.8 Proof of Lemma 16.7
• References

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