November 2006 | Yingbin Liang, H. Vincent Poor and Shlomo Shamai (Shitz)
This paper investigates the secure communication over fading channels, focusing on the broadcast channel with confidential messages (BCC). The BCC model involves a source node that transmits common information to two receivers and confidential information to one receiver, with the goal of keeping the confidential information secret from the other receiver. The channel is affected by multiplicative fading gain coefficients and additive Gaussian noise. The paper assumes that the channel state information (CSI) is known at both the transmitter and receivers.
The paper first studies the parallel BCC with independent subchannels, establishing the secrecy capacity region. It then specializes this result to the case of degraded subchannels and derives the secrecy capacity region for the parallel Gaussian BCC. The optimal power allocations that achieve the boundary of the secrecy capacity region are also derived.
The paper then applies these results to the fading BCC, analyzing both ergodic and outage performance. For the ergodic case, the secrecy capacity region is averaged over all channel states, and the optimal power allocation is derived to achieve the best performance. For the outage case, the paper considers a long-term power constraint and derives the optimal power allocation that minimizes the outage probability, ensuring that either the common or confidential message rate is achieved.
The paper also discusses the relationship between the fading BCC and other channels, such as the wire-tap channel and the parallel Gaussian wire-tap channel. It shows that the fading BCC can be viewed as a parallel Gaussian BCC with each fading state corresponding to a subchannel. The results are applied to derive the secrecy capacity region for the fading BCC and the optimal power allocation for achieving the boundary of this region.
The paper concludes with a summary of the key findings, including the establishment of the secrecy capacity region for the parallel BCC, the derivation of the optimal power allocations, and the application of these results to the fading BCC. The results are presented in a general form that applies to various fading and noise conditions, providing a comprehensive framework for secure communication over fading channels.This paper investigates the secure communication over fading channels, focusing on the broadcast channel with confidential messages (BCC). The BCC model involves a source node that transmits common information to two receivers and confidential information to one receiver, with the goal of keeping the confidential information secret from the other receiver. The channel is affected by multiplicative fading gain coefficients and additive Gaussian noise. The paper assumes that the channel state information (CSI) is known at both the transmitter and receivers.
The paper first studies the parallel BCC with independent subchannels, establishing the secrecy capacity region. It then specializes this result to the case of degraded subchannels and derives the secrecy capacity region for the parallel Gaussian BCC. The optimal power allocations that achieve the boundary of the secrecy capacity region are also derived.
The paper then applies these results to the fading BCC, analyzing both ergodic and outage performance. For the ergodic case, the secrecy capacity region is averaged over all channel states, and the optimal power allocation is derived to achieve the best performance. For the outage case, the paper considers a long-term power constraint and derives the optimal power allocation that minimizes the outage probability, ensuring that either the common or confidential message rate is achieved.
The paper also discusses the relationship between the fading BCC and other channels, such as the wire-tap channel and the parallel Gaussian wire-tap channel. It shows that the fading BCC can be viewed as a parallel Gaussian BCC with each fading state corresponding to a subchannel. The results are applied to derive the secrecy capacity region for the fading BCC and the optimal power allocation for achieving the boundary of this region.
The paper concludes with a summary of the key findings, including the establishment of the secrecy capacity region for the parallel BCC, the derivation of the optimal power allocations, and the application of these results to the fading BCC. The results are presented in a general form that applies to various fading and noise conditions, providing a comprehensive framework for secure communication over fading channels.