On the Capacity and Generalized Degrees of Freedom of the X Channel

Abstract

We explore the capacity and generalized degrees of freedom of the two-user Gaussian X channel, i.e. a generalization of the 2 user interference channel where there is an independent message from each transmitter to each receiver. There are three main results in this paper. First, we characterize the sum capacity of the deterministic X channel model under a symmetric setting. Second, we characterize the generalized degrees of freedom of the Gaussian X channel under a similar symmetric model. Third, we extend the noisy interference capacity characterization previously obtained for the interference channel to the X channel. Specifically, we show that the X channel associated with noisy (very weak) interference channel has the same sum capacity as the noisy interference channel.

References in corpus (5)

• A New Outer Bound and the Noisy-Interference Sum-Rate Capacity for Gaussian Interference Channels
• A Deterministic Approach to Wireless Relay Networks
• Gaussian Interference Networks: Sum Capacity in the Low Interference Regime and New Outer Bounds on the Capacity Region
• Capacity of Wireless Networks within o(log(SNR)) - the Impact of Relays, Feedback, Cooperation and Full-Duplex Operation
• Interference Alignment on the Deterministic Channel and Application to Fully Connected AWGN Interference Networks

Cited by in corpus (6)

• Aligned Interference Neutralization and the Degrees of Freedom of the 2x2x2 Interference Channel
• Interference Alignment and a Noisy Interference Regime for Many-to-One Interference Channels
• On the Sum Rate of a 2 x 2 Interference Network
• Interference Alignment: From Degrees-of-Freedom to Constant-Gap Capacity Approximations
• On the Generalized Degrees of Freedom of the K-user Symmetric MIMO Gaussian Interference Channel
• Generalized Degrees of Freedom of the Interference Channel with a Signal Cognitive Relay