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Compute-and-forward (C&F) has been proposed as an efficient strategy to reduce the backhaul load for distributed antenna systems. Finding the optimal coefficients in C&F has commonly been treated as a shortest vector problem, which is NP-hard. The point of our work and of Sahraei’s recent work is that the C&F coefficient problem can be much simpler. Due to the special structure of C&F,...
Compute-and-Forward (C&F) has been proved to be an efficient approach for multiuser, multihop wireless networks. It allows intermediate relays to infer and forward linear combinations of the transmitted messages, in order to achieve high computation rate. The coefficient selection for each relay is a shortest vector problem (SVP). The most common solutions for such a problem are exhaustive search...
We consider the compute-and-forward relay network with limited feedback. A novel scheme called adaptive compute-and-forward is proposed to exploit the channel knowledge by working with the best ring of imaginary quadratic integers. This is enabled by generalizing Construction A lattices to other rings of imaginary quadratic integers which may not form principal ideal domains and by showing such construction...
The non-binary code (NBC) or the lattice code (LC) has been the only possible channel code with the pulse amplitude modulation (PAM) signaling of modulation size greater than two for the physical layer network coding (PNC) over a decode-and-forward (DF) relaying channel. A major drawback with the NBC or LC however is its high computational complexity. In this letter, we present new modified high-order...
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