DoF Achieving Propagation Delay Aligned Structure for $K \times 2$ X Channels

Feng Liu, Shuchao Jiang, Shengming Jiang, Conggai Li · IEEE Communications Letters · 2017

This letter investigates the implementation of perfect interference alignment (IA) based on propagation delay (PD) for$K\times 2$X channels where each of the$K$source nodes sends an independent message to each of the two destination nodes. The key problem is to find a feasible PD alignment (PDA) structure to achieve the degrees of freedom (DoF), which is$2K/(K+1)$. From the simple$K=2, 3$to the general$K$, we show the DoF achievability of the proposed PDA structure combined with proper time slot scheduling at the transmitter side. Moreover, the feasibility condition in Euclidean space is given. The connection to cyclic IA is further built up when$K=2$.

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