Necessary conditions for K/2 degrees of freedom


Recep Gül, Helmut Bölcskei, and Shlomo Shamai (Shitz)


Proc. of IEEE International Symposium on Information Theory (ISIT), Vail, CO, USA, pp. 2574-2578, June 2018.

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Stotz et al., 2016, reported a sufficient (injectivity) condition for each user in a K-user single-antenna constant interference channel to achieve 1/2 degree of freedom. The present paper proves that this condition is necessary as well and hence provides an equivalence characterization of interference channel matrices allowing full degrees of freedom.

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