Precoding: Difference between revisions

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===DPC or DPC-like nonlinear precoding===
[[Dirty paper coding (DPC)|Dirty paper coding]] is a coding technique that pre-cancels known interference without power penalty. Only the transmitter needs to know this interference, but full [[channel state information]] is required everywhere to achieve the weighted sum capacity.<ref name=weingarten/> This category includes Costa precoding,<ref>M. Costa, [https://dx.doi.org/10.1109/TIT.1983.1056659 Writing on dirty paper], IEEE Transactions on Information Theory, vol. 29, no. 3, pp. 439–441, 1983</ref> Tomlinson-Harashima precoding<ref>M. Tomlinson, [https://dx.doi.org/10.1049/el:19710089 New automatic equalizer employing modulo arithmetic], Electronics Letters, vol. 7, no. 5, pp. 138–139, 1971</ref><ref>H. Harashima and H. Miyakawa, [httphttps://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1091221 Matched-transmission technique for channels with intersymbol interference], IEEE Transactions on Communications, vol. 20, no. 4, pp. 774–780, 1972</ref> and the vector perturbation technique.<ref>B. M. Hochwald, C. B. Peel, and A. L. Swindlehurst, [https://dx.doi.org/10.1109/TCOMM.2005.843995 A vector-perturbation technique for near-capacity multiantenna multi-user communication - Part II: Perturbation], IEEE Transactions on Communications, vol. 53, no. 1, pp. 537–544, 2005</ref>
 
==Mathematical Description==