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## Trusted wireless communications with spatial multiplexing

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This chapter will introduce trusted communications in multiuser multiple-input multiple-output (MIMO) wireless systems via spatial multiplexing. We will start by considering the multiple-input single-output broadcast channel with confidential messages (BCC) under Rayleigh fading, where a multiantenna base station (BS) simultaneously transmits independent confidential messages to several spatially dispersed malicious users that can eavesdrop on each other. We will then present the broadcast channel with confidential messages and external eavesdroppers (BCCE), where a multiantenna BS simultaneously communicates to multiple malicious users, in the presence of a Poisson point process (PPP) of external eavesdroppers. Unlike the BCC, in the BCCE not just malicious users, but also randomly located external nodes can act as eavesdroppers. We will finally turn our attention to cellular networks where, unlike the case of isolated cells, multiple BSs generate intercell interference, and malicious users of neighboring cells can cooperate to eavesdrop. For these involved scenarios, we will present low-complexity transmission schemes based on linear precoding that can achieve secrecy at the physical layer, discuss their

Chapter Contents:

• 8.1 Introduction to multiuser MIMO systems
• 8.2 Physical layer security in an isolated cell
• 8.2.1 The broadcast channel with confidential messages
• 8.2.2 Achievable secrecy rates in the BCC
• 8.2.2.1 Linear precoding
• 8.2.2.2 Achievable secrecy rates with linear precoding
• 8.2.3 The price of secrecy
• 8.3 Physical layer security in a random field of eavesdroppers
• 8.3.1 The broadcast channel with confidential messages and external eavesdroppers
• 8.3.2 Probability of secrecy outage
• 8.3.3 Mean secrecy rates
• 8.4 Physical layer security in a multi-cell system
• 8.4.1 Cellular networks with malicious users
• 8.4.2 Achievable secrecy rates
• 8.4.3 Probability of secrecy outage and mean secrecy rate
• 8.5 Conclusions
• References

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