A Distributed Numerical Approach to Interference Alignment and Applications to Wireless Interference Networks

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Recent results establish the optimality of interference alignment to approach the Shannon capacity of interference networks at high SNR. However, the extent to which interference can be aligned over a finite number of signaling dimensions remains unknown. Another important concern for interference alignment schemes is the requirement of global channel knowledge. In this paper, the authors provide examples of iterative algorithms that utilize the reciprocity of wireless networks to achieve interference alignment with only local channel knowledge at each node. These algorithms also provide numerical insights into the feasibility of interference alignment that are not yet available in theory.